diff --git "a/1NAyT4oBgHgl3EQf1PnY/content/tmp_files/load_file.txt" "b/1NAyT4oBgHgl3EQf1PnY/content/tmp_files/load_file.txt" new file mode 100644--- /dev/null +++ "b/1NAyT4oBgHgl3EQf1PnY/content/tmp_files/load_file.txt" @@ -0,0 +1,2369 @@ +filepath=/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf,len=2368 +page_content='Astronomy & Astrophysics manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs ©ESO 2023 January 3, 2023 Theoretical investigation of the occurrence of tidally excited oscillations in massive eccentric binary systems P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Kołaczek-Szyma´nski and T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Ró˙za´nski Astronomical Institute, University of Wrocław, Kopernika 11, 51-622 Wrocław, Poland e-mail: kolaczek@astro.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='uni.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='wroc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='pl Received 16.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Revised 01.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Re-revised 28.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Accepted 02.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2023 ABSTRACT Context.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Massive and intermediate-mass stars reside in binary systems much more frequently than low-mass stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' At the same time, binaries containing massive main-sequence (MS) component(s) are often characterised by eccentric orbits, and can therefore be observed as eccentric ellipsoidal variables (EEVs).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The orbital phase-dependent tidal potential acting on the components of EEV can induce tidally excited oscillations (TEOs), which can affect the evolution of the binary system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Aims.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We investigate how the history of resonances between the eigenmode spectra of the EEV components and the tidal forcing frequencies depends on the initial parameters of the system, limiting our study to MS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Each resonance is a potential source of TEO.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We are particularly interested in the total number of resonances, their average rate of occurrence and their distribution in time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Methods.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We synthesised 20,000 evolutionary models of the EEVs across the MS using Modules for Experiments in Stellar Astro- physics (MESA) software for stellar structure and evolution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We considered a range of masses of the primary component from 5 to 30 M⊙.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Later, using the GYRE stellar non-adiabatic oscillations code, we calculated the eigenfrequencies for each model recorded by MESA.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We focused only on the l = 2, m = 0, +2 modes, which are suspected of being dominant TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Knowing the temporal changes in the orbital parameters of simulated EEVs and the changes of the eigenfrequency spectra for both components, we were able to determine so-called ‘resonance curves’, which describe the overall chance of a resonance occurring and therefore of a TEO occurring.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We analysed the resonance curves by constructing basic statistics for them and analysing their morphology using machine learning methods, including the Uniform Manifold Approximation and Projection (UMAP) tool.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Results.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The EEV resonance curves from our sample are characterised by striking diversity, including the occurrence of exceptionally long resonances or the absence of resonances for long evolutionary times.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We found that the total number of resonances encountered by components in the MS phase ranges from ∼102 to ∼103, mostly depending on the initial eccentricity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We also noticed that the average rate of resonances is about an order of magnitude higher (∼102 Myr−1) for the most massive components in the assumed range than for EEVs with intermediate-mass stars (∼101 Myr−1).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The distribution of resonances over time is strongly inhomogeneous and its shape depends mainly on whether the system is able to circularise its orbit before the primary component reaches the terminal- age MS (TAMS).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Both components may be subject to increased resonance rates as they approach the TAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thanks to the low- dimensional UMAP embeddings performed for the resonance curves, we argue that their morphology changes smoothly across the resulting manifold for different initial EEV conditions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The structure of the embeddings allowed us to explore the whole space of resonance curves in terms of their morphology and to isolate some extreme cases.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Conclusions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Resonances between tidal forcing frequencies and stellar eigenfrequencies cannot be considered rare events for EEVs with massive and intermediate-mass MS stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On average, we should observe TEOs more frequently in EEVs containing massive components than intermediate-mass ones.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs will be particularly well-pronounced for EEVs with the component(s) close to the TAMS, which begs for observational verification.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Given the total number of resonances and their rates, TEOs may play an important role in the transport of angular momentum within massive and intermediate-mass stars (mainly near TAMS).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Key words.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' binaries: close – stars: early-type – stars: massive – stars: oscillations – stars: evolution – methods: numerical 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Introduction For many reasons, massive stars (≳ 8 M⊙) are of particular in- terest to modern astrophysics.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Primarily, they are progenitors of core-collapse supernovae (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Janka et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Smartt 2009) and long γ-ray bursts (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fruchter et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Yoon et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For billions of years, they contributed to the chemical evolution of the entire Universe and interacted mechanically with the surrounding interstellar medium (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ouellette et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Svirski et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012), also through their intense line-driven stellar winds (Vink 2021).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Furthermore, most of their remnants are compact objects, such as neutron stars (NSs, and among them magnetars and pulsars) and black holes (BHs), which allow the empirical study of effects of general relativity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Finally, massive stars can be observed at cosmological distances due to their enor- mous luminosities, hence they dominate in the spectra of distant starburst galaxies (see Eldridge & Stanway 2022, for a recent re- view).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These features of massive stars (and many others) demon- strate that understanding the structure and evolution of massive stars is one of the key tasks of astronomy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As is well known, massive and intermediate-mass (≳ 2 M⊙ and ≲ 8 M⊙) stars reside in binary systems much more fre- quently than their lower-mass counterparts (Duchêne & Kraus 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Sana et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, as shown, for example, by Sana et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2014) and Moe & Di Stefano (2017), O-type dwarfs in particular are often found in multiple systems.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This shows that binarity is inherent in the evolution of massive stars and cannot be ignored when studying these objects as well as their final out- comes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Many interesting phenomena in the Universe are the re- Article number, page 1 of 24 arXiv:2301.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='00733v1 [astro-ph.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='SR] 2 Jan 2023 A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs sult of binarity among massive and/or intermediate-mass stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These include Be stars (Kriz & Harmanec 1975;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Bodensteiner et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020), so-called ‘stripped stars’ (Götberg et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Shenar et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' El-Badry & Burdge 2022), BH-BH/BH- NS/NS-NS mergers (progenitors of gravitational-wave events, Abbott et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016, 2019), ‘early’ stellar mergers (Tokovinin & Moe 2020;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Sen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Li et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022), Ib/c supernova pro- genitors (Langer 2012;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Yoon et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012), ‘massive Algols’ (de Mink et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Skowron et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Sen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022), and even Wolf-Rayet stars (Shenar et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Pauli et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' At the same time, binary systems that contain massive main- sequence (MS) component(s) are often characterised by eccen- tric orbits due to their relatively young age and the presence of radiative outer layers, which are less vulnerable to tidal dissi- pation compared to convective envelopes (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Van Eylen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Both observational studies of large samples of massive bi- naries (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Moe & Di Stefano 2017) and hydrodynamical sim- ulations of their formation (see Oliva & Kuiper 2020, and ref- erences therein) suggest significantly non-zero eccentricities at their birth.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Assuming that the periastron distance between the compo- nents is sufficiently small1, the combined proximity effects, such as ellipsoidal distortion, irradiation/reflection effect and Doppler beaming/boosting, make such a system an eccentric ellipsoidal variable (hereafter EEV, e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Nicholls & Wood 2012).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Due to the characteristic shape of the light curve of EEV during the periastron passage (which can resemble an electrocardiogram), EEVs are sometimes referred to as ‘heartbeat stars’ (Welsh et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2011;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thompson et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Beck et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Kirk et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Kołaczek-Szyma´nski et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Wrona et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The orbital phase-dependent tidal potential acting on the components of EEV can induce tidally excited oscillations (TEOs) in their interiors (Zahn 1975;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Kumar et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1995;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fuller 2017;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Guo 2021), which in turn can affect the evolution of the binary system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, many details of TEOs in massive and intermediate-mass stars are still poorly understood including the total number of TEOs and their frequency of occurrence.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In our study, we aim to shed light on this issue based on theoretical modelling combined with machine learning (ML) techniques.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The paper is organised as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Section 2 provides a con- cise characterisation of TEOs and specifies the purpose of our paper.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3 we present a detailed description of the adopted methodology, including the assumptions made and the software used to generate the theoretical models.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We then analyse the obtained models and present our findings in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Finally, we summarise the entire work and draw several conclusions in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Properties of TEOs and the purpose of the paper TEOs are tidally forced eigenmodes of a star with frequencies, σnlm (in the co-rotating frame of the star), coinciding with inte- ger multiples, N, of the orbital frequency, forb2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The resonance condition can be written as follows: fNm ≡ N forb − m fs ≈ σnlm, (1) where fNm corresponds to the frequency of the tidal forcing in the rotating frame, fs stands for the rotational frequency of the star, while the subscripts n, l and m denote the radial order, de- gree, and azimuthal order of the specific eigenmode, respec- tively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This property of TEOs makes them relatively easy to dis- 1 That is, of the order of a few radii of the larger component.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2 We denote the corresponding orbital period as Porb = 1/forb.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' tinguish from other types of pulsations (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', self-excited oscilla- tions) in frequency spectra, provided the orbital period is known.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' There are numerous examples of photometrically or spectro- scopically detected TEOs (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Handler et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2002;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Welsh et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2011;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Hambleton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fuller et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Guo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019, 2020;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Wrona et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022a), also in massive binary systems (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Willems & Aerts 2002;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Pablo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Kołaczek-Szyma´nski et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Most TEOs are damped normal modes, mean- ing that without constant tidal forcing they would not be ob- served in the star.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' More importantly, because of their damped na- ture, TEOs dissipate the total orbital energy making the system tighter, more circular, and synchronised with time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the other hand, if the TEO is naturally an overstable mode it can transfer thermal energy from the star to the orbit via so-called ‘inverse tides’ (Fuller 2021).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Regardless of the type of TEOs, they unde- niably contribute to the evolution of the (massive) binary system, and can therefore influence the characteristics of the phenomena and objects mentioned above.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The efficiency of energy transfer between the stellar interior and the orbit due to TEOs strongly depends on the temporal behaviour of the resonance condition given by Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is to be expected that most TEOs are ‘chance resonances’, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' resonances in which the aforementioned condi- tion is satisfied for a relatively short time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Under such circum- stances, TEOs do not have enough time to reach high ampli- tudes, hence their ability to dissipate orbital energy is somewhat limited.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, if, after reaching resonance, both frequencies on the left and right sides of Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1) evolve at the same rate and direction, TEOs can ‘tidally lock’ for a longer time compared to the chance resonance scenario (Fuller 2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This unique vari- ety of TEOs is suspected to be responsible for occasional peri- ods of rapid evolution of the orbital parameters in binary systems (Fuller et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs are are not only restricted to MS stars, they can also occur in binaries with pre-MS stars (Zanazzi & Wu 2021), some compact objects (white dwarfs, Yu et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021), planetary sys- tems (Ma & Fuller 2021) and even planet-moon systems (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', in the Saturn-Titan system, Lainey et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although the literature on theoretical studies of TEOs is in- deed extensive (see e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fuller 2017;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Guo 2021, for recent re- views), the question of their rate of occurrence and the role they play in the evolution of massive stars is still a matter of debate.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Unfortunately, only a small number of papers refer exclusively to massive EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Witte & Savonije (1999a,b) studied gravity- (g) and Rossby-mode TEOs in an uniformly rotating 10 M⊙ MS star using their own two-dimensional (2D) code for different stellar rotation rates and several orbital configurations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They found that dynamical tides can effectively circularise and tighten the orbits of EEVs in just a few Myrs if resonance locking occurs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' How- ever, these and many other previous works on TEOs were done under the assumption of a compact (point-like) secondary com- panion that is not subject to tidal perturbations during each peri- astron passage.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is obviously not the case in real binary sys- tems, where both components are responsible for the tidal evo- lution of the orbit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As theoretically shown by Witte & Savonije (2001), for an eccentric binary system consisting of two 10 M⊙ stars, tidal dissipation can be further enhanced due to the simul- taneous excitation of tidally-locked TEOs in both components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In spite of the advanced mathematical formalism, the aforemen- tioned papers only dealt with a few assumed component masses and sets of orbital parameters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Only Willems (2003) attempted a qualitative analysis of the hyperspace of the orbital parame- ters favouring excitation of TEOs in massive EEVs on MS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' He found that for a mass range of 2 – 20 M⊙, the favourable orbital period interval lies between ∼5 and ∼12 d when both compo- Article number, page 2 of 24 Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs nents are zero-age MS (ZAMS) stars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This interval shifts towards longer orbital periods (up to ∼70 d) for components approaching terminal-age MS (TAMS).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although, as argued above, the role of TEOs in the life of massive binary systems is still not well understood, we are not aware of any published work that develops the qualitative analy- sis carried out by Willems (2003) based on state-of-the-art stel- lar evolution and oscillations codes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We would like to fill this gap by combining the Modules for Experiments in Stellar As- trophysics3 (MESA, Paxton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2011, 2013, 2015, 2018, 2019) stellar structure and evolution code with the GYRE4 (Townsend & Teitler 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Townsend et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2018) non-adiabatic stellar oscil- lation code.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Our study aims to answer the following three ques- tions: 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' How many resonances (given by Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1)) can EEVs experi- ence during their lifetime between ZAMS and TAMS?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' How does this picture change with different initial parameters of the binary system?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Can we distinguish several distinct types of EEV resonance histories that are statistically related to the initial physical and orbital parameters of binary systems?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Does the resonance history correlate in any way with the properties of EEV near TAMS?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For instance, are systems that undergo mass transfer before reaching TAMS also sys- tems with a higher total number of resonances encountered?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In order to answer the last two questions, we use of ML tech- niques by performing a Uniform Manifold Approximation and Projection5 (UMAP, McInnes et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2018) dimension reduction analysis of the resonance histories obtained for simulated binary systems.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Methods Assuming that the dynamical tide excited in the component is dominated by a single TEO close to resonance with the orbital harmonic N, one can express its amplitude of luminosity change as proportional to (after Fuller 2017, his eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2) AN ∝ q �R a �l+1 |Qnlm|FNmLN, (2) where q is the ratio of the masses of the two components, R stands for the radius of the component in which the TEO is excited, and a is the semi-major axis of the relative orbit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The quantity denoted Qnlm is known as the so-called overlap integral, which describes the spatial coupling between a given oscillation mode and the actual geometry of the tidal potential (Fuller 2017, his eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In general, the larger the value of |n|6, the smaller the Qnlm, hence eigenmodes with a large number of nodes in the ra- dial direction have a much lower probability of tidal excitation7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In addition to Qnlm, the Hansen coefficient FNm (Fuller 2017, his eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5) is responsible for the temporal coupling of the forced normal mode and the Nth component in the Fourier expansion 3 https://docs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='mesastar.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='org/en/latest/ 4 https://gyre.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='readthedocs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='io/en/stable/ 5 https://umap-learn.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='readthedocs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='io/en/latest/ 6 We use |n| instead of n because GYRE assigns negative values of n to g modes and positive ones to p modes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 7 More precisely, Qnlm does not vary strictly monotonic with n and can change significantly between consecutive modes for given l and m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, the overall trend of Qnlm peaks for low values of |n| and falls sharply for |n| ≫ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For a more detailed discussion on the behaviour of Qnlm see, e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Burkart et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2012).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' of the orbital motion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Quantitatively, it expresses the intuitive principle that for more eccentric orbits, TEOs with larger orbital harmonic numbers will be excited.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is because, as the ec- centricity increases, the periastron passage takes less time for a given orbital period, so eigenmodes with higher frequencies bet- ter ‘match’ rapidly changing gravitational field, in terms of time scale.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Nevertheless, for very high N, the FNm drops rapidly (al- most exponentially).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This particular property of FNm is respon- sible for the lack of excitation of the TEOs with extremely high N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is clear here that the frequency range of TEOs in massive and intermediate-mass MS stars is limited on two sides inde- pendently by Qnlm and FNm.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the low-frequency side, Qnlm prevents the excitation of g modes with very high |n|, while on the high-frequency side FNm decreases sharply, strongly limit- ing the possible excitation of pressure (p) modes characterised by high radial orders.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The last term in Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2), i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' LN, denotes the detuning factor given by the following formula, LN = fNm � (σnlm − fNm)2 + γ2 nlm , (3) where γnlm stands for damping/growth rate of the normal mode.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This Lorentzian-like factor reflects the mismatch between fNm and σnlm.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Given the typical values of |γnlm| for g and p modes in massive and intermediate-mass MS stars (of the order of ∼ 10−7 – 10−3 d−1), LN is extremely sensitive to the difference (σnlm− fNm).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Hence, among many other factors, the LN undoubt- edly plays a key role in the excitation of TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' While the precise prediction of TEO amplitude is a difficult task8, we are interested in analysing the changes in resonance conditions dictated by the sum of all the contributing detuning factors with passing time, t.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Let us define the following dimen- sionless quantity, L(t) ≡ � nlm Nmax � N=1 LN(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (4) In contrast to LN, associated with a single orbital harmonic, L reflects the overall chance of TEOs being excited in the EEV component.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, we must stress at this point that it does not carry direct information on the amplitude of potential TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The first summation in Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (4) applies to all the normal modes we consider in the modelling (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Obviously, the second summation in Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (4) should run from N = 1 to +∞, but due to time and physical constraints one has to truncate the series at some reasonably chosen Nmax.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For a detailed description of the selection of Nmax values see Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In order to try to answer the questions raised in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2, we have synthesised 20,000 binary evolution models and calculated L(t) for both components in each of them.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The whole procedure is described extensively in the next four subsections.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' General assumptions From a practical point of view,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' a fully consistent calculation of the evolution of binary systems taking TEOs into account is 8 In order to reliably predict the photometric amplitude of a TEO,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' one needs to: (1) determine the exact value of LN,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' which is almost impossi- ble given the uncertainties in both observations and stellar models,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2) calculate the corresponding Qnlm and (3) know the eigenfunction of lu- minosity fluctuations at the photospheric level,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' which is a challenge for radiation pressure-dominated atmospheres of early-type stars (with in- tense stellar winds).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In addition, the equilibrium amplitude of a linearly driven TEO is determined by various non-linear effects, for instance by multi-mode coupling (Guo 2020;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Guo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 3 of 24 A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs very time-consuming, as it requires time steps shorter than the times at which the resonances occur (several orders of magni- tude shorter than the nuclear time scale, cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It would take an enormous amount of time to perform such consistent calcula- tions for 20,000 binaries with hundreds of resonances occurring in each of them.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, to make our project both feasible and still scientifically useful, the models were synthesised un- der the general assumption that each resonance encountered by the EEV components is a chance resonance.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' By sacrificing the ability to track resonantly-locked TEOs, we are able to decou- ple evolutionary and seismic calculations and run them indepen- dently, greatly simplifying the whole problem.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We believe that we can to do this for three reasons: (1) we are only interested in obtaining some general statistical information about the reso- nance conditions in a large number of simulated binary systems, (2) the phenomenon of resonance locking is rare compared to the rate of chance-resonance events, and (3) the impact of chance- resonance TEOs on the orbit is limited due to their relatively short time of existence (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Witte & Savonije 1999b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In con- clusion, we focus on finding candidate binaries that may or may not experience numerous TEOs, rather than precisely predicting their actual evolutionary histories, which is beyond the scope of this paper.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We believe that our results will serve as a starting point for more detailed calculations performed for the most in- teresting cases of massive EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Synthesis of binary evolution models Since we assumed that we could separate stellar and orbital evo- lution from seismic calculations, we first generated a set of bi- nary evolutionary tracks and only then performed seismic anal- ysis on them to find L(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Initialisation of models We used the latest open-source 1D stellar evolution code MESA (release 15140) compiled with the MESA Software Development Kit (version 21.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1, Townsend 2021) to compute a set of 20,000 binary evolution models.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The MESAbinary module (Paxton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2015) allows the simultaneous evolution of binary system com- ponents and their orbits.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Throughout this paper, we use the sub- scripts ‘1’ and ‘2’ to denote the primary (initially more massive) and secondary components, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We assumed that both components have the same chemical composition with metallicity Z = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='02 and a solar-scaled mix- ture of elements taken from Grevesse & Sauval (1998).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Since we were only interested in massive and intermediate-mass MS EEVs that can exhibit TEOs during their lifetime, the initial sys- tems consisted of two stars lying on the ZAMS and were charac- terised by parameters randomly drawn from the following uni- form distributions, U[α,β], on specific intervals [α, β].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – Mass of primary component, log(M1/M⊙) ∼ U[log 5,log 30].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A uniform distribution on a logarithmic scale was used instead of a linear scale to cover the Hertzsprung-Russell diagram (HRD) with more evenly distributed evolutionary tracks.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – The mass ratio, q ≡ M2/M1 ∼ U[0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2,0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='95], where M2 corre- sponds to the mass of the secondary component.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The lower limit for q was introduced due to the fact that the efficiency in driving TEOs scales with q (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2)), so it is less likely to observe TEOs in a binary system at a small value of the mass ratio.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, if the generated q corresponded to M2 < 2M⊙, a redraw was performed.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – Eccentricity, e ∼ U[0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2,0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Range typical of the observed EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – Periastron distance, rperi, normalised to the sum of compo- nents’ radii, �rperi ≡ rperi/(R1 + R2) ∼ U[1,5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, if the generated system was initially Roche-lobe overflow- ing (RLOF) at the periastron, a redraw was performed.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We also assumed an upper value of �rperi because the overall strength of tidal forces decays as r−3 peri and simulating widely- separated systems would contradict the aim of this paper.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – Tidally-enhanced wind factor, Bwind ∼ U[32,896].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Introduced by Tout & Eggleton (1988) for red giants residing in binary systems, it accounts for the tidal enhancement of the stellar wind mass-loss rate due to the presence of a nearby com- panion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The ad hoc chosen range of Bwind corresponds to a maximum amplification of the ‘nominal’ wind mass-loss rate by a factor of 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 – 10 (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Tout & Eggleton 1988, their eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – The angular rotational velocity divided by its critical value9, Ω/Ωcrit ∼ U[0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1,0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The assumed range of initial Ω/Ωcrit translates into the linear equatorial velocities between ∼50 km/s and ∼320 km/s in our simulations and reflects the significant non-zero rotation velocities observed in massive young MS stars (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Dufton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Hunter et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2008).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' – The overshoot mixing parameter, fov ∼ U[0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='015,0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='025].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In our calculations, the overshooting of the material above the con- vective, hydrogen-burning core was treated in the exponen- tial diffusion formalism developed by Herwig (2000).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' An ad- justable parameter, fov, describes the spatial extent of the overshoot layer in terms of the local pressure-scale height, but its value for massive stars is still under debate.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We adopted the range of fov after Ostrowski et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The parameters presented above were generated independently for each EEV system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, the last two parameters, Ω/Ωcrit and fov, were drawn independently for each component, so the final hyperspace of parameters explored in our simulations in- cluded {M1, q, e,�rperi, Ω/Ωcrit,1, Ω/Ωcrit,2, fov,1, fov,2, Bwind}.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig- ure 1 shows our initial sample of generated EEVs in the orbital period versus eccentricity diagram.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As expected, they occupy the upper envelope of the aforementioned plane with the upper boundary dictated by the onset of periastron RLOF on ZAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The rest of the necessary parameters and ‘physics switches’ were identical for each simulated binary.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We will now briefly describe them below.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Integration of the evolution Nuclear reaction rates were calculated using ‘basic.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='net’ op- tion in MESA.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We used a convective premixing scheme (Paxton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019, their Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5) in combination with the Ledoux cri- terion to define the boundaries of convective instability.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This specific approach of treating convection agrees with the results of modern 3D hydrodynamic simulations (Anders et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Convective mixing was incorporated into the models via mix- ing length theory (MLT) in the ‘Cox’ formalism (Cox & Giuli 1968, their chap.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14) with the value of the solar-calibrated mix- ing length parameter αMLT = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8210 (Choi et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As 9 By critical rotational velocity we mean the situation when the effec- tive gravity at the stellar equator is zero, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the centrifugal force and the Eddington factor, Γ, balance the true gravity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' MESA estimates this quan- tity as Ωcrit = � (1 − Γ)GM/R3, where G is the gravitational constant and Γ ≡ Lrad/LEdd.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The Lrad and LEdd denote the radiative luminosity and Eddington luminosity of the star, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 10 There is some evidence that αMLT may depend on global stellar pa- rameters such as mass (Yıldız et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006) or metallicity (Viani et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 4 of 24 Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Distribution of initial orbital period and eccentricity for a sample of 20,000 binaries evolved in our project.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The initial normalised sepa- ration at the periastron is colour-coded.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The upper left-hand corner cor- responds to the ZAMS EEVs, which experience RLOF at the periastron and should therefore rapidly circularise their orbits.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The lower right- hand corner, on the other hand, is where relatively widely-separated binaries can be found.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' mentioned earlier, exponential overshoot mixing above the con- vective core was also included11, but we neglected overshoot- ing in the non-burning convection zones.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For stars with masses ⩾ 15 M⊙, we activated the treatment of convection as ‘MLT++’ (Paxton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, their Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2) to reduce superadiabaticity in convective zones dominated by radiation pressure.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Since we used Ledoux criterion, semiconvection could appear in our stars with its efficiency parameter, αsc = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01 (Langer et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1985).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In our case, semiconvection sometimes occurred in chemically- modified layers left by the shrinking core.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Upon initialisation at the ZAMS, we relaxed both compo- nents in ∼100 steps so that they rotated rigidly.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Later, we al- lowed our stars to rotate differentially during their evolution, according to the so-called shellular approximation of rotation (Meynet & Maeder 1997).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Throughout the entire evolution, we assumed that the rotation axes of the stars are perpendicular to the orbital plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' MESAstar uses the mathematical formalism of Heger et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2000) and Heger et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2005) to apply struc- tural corrections, perform different types of rotationally induced mixing and „diffusion” of angular momentum between adjacent shells.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The following rotational mixing mechanisms were taken into account in MESA: dynamic shear instability, secular shear instability, Eddington-Sweet circulation, Solberg-Høiland insta- bility, and Goldreich-Schubert-Fricke instability (all described in detail by Heger et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2000).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Even the combined mixing coef- ficients of the aforementioned rotational instabilities can be zero in some parts of the star.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, this is clearly unrealistic due to the presence of a nearby companion that induces additional mixing throughout the star.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' To at least approximately account for this process, we did not allow the total mixing coefficient, Dmix, to fall below 105 cm2/s.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This particular arbitrarily-selected value is related to the mixing time scale, τmix ∼ (∆r)2/Dmix ≈ 15 Myr at radial distance, ∆r = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 R⊙.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We cannot conceal here that ro- 2018).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is also very likely that αMLT is sensitive to the evolutionary stage of the star and the type of convection zone (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Wu et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2015).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Here, we have assumed a constant value of αMLT for simplicity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11 Similarly to the αMLT, fov also can depend on different stellar param- eters (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Castro et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' tation and mixing profiles in MS stars are still poorly understood (except in the solar case).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' There are no definitive conclusions as to what mixing mechanisms and whether they actually occur in massive and intermediate-mass MS stars (see e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pedersen et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Pedersen 2022, for a discussion of this problem and its asteroseismic inference from B-type dwarfs).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Mass losses due to the radiation-driven stellar wind were calculated according to the prescription given by Vink et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2001).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Their formulae take into account the presence of a so-called bi-stability jump around the effective temperature of Teff ≈ 26,000 K, caused by ionization and recombination of some Fe ions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Nevertheless, the presence of a bi-stability jump is still questionable and there is some evidence that the associated al- most instantaneous change in the mass-loss rate may not be real (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Krtiˇcka et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Björklund et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ‘Nominal’ wind mass-loss rates in our simulations were modified in two ways: (1) the rate was amplified by the aforementioned tidal mech- anism, parametrized by Bwind (Tout & Eggleton 1988) and (2) the effect of fast rotation at the surface, which can amplify the mass-loss rate, was accounted for by the simplified power-law description given by Heger et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2000) (their Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We assumed that the mass loss through the wind is completely non- conservative, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' there is no mechanism that could transfer some material back to the star or to a companion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As we already mentioned above, MESAbinary allows the si- multaneous integration of some stellar and orbital parameters that are coupled to each other in a binary system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We have switched on the MESA controls responsible for changes in the to- tal orbital angular momentum caused by: (1) gravitational wave radiation, (2) wind mass loss and (3) tidal spin-orbit coupling.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For the first process, the rate of orbital momentum loss was cal- culated assuming point masses.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The mass loss through the stellar wind was completely non-conservative, so the angular momen- tum lost via this channel was equal to the angular momentum carried by the wind.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The phenomenon (3), contributing to the evolution of eccentricity, orbital and spin angular momenta, was modelled using the theory of tidal interactions for radiative en- velopes developed by Zahn (1977), Hut (1981) and Hurley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2002), after being adapted to the shellular approximation of ro- tation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For stars with radiative envelopes, tidal dissipation pro- cesses are dominated by tidally excited gravity modes that prop- agate to the stellar surface, where they gain relatively large am- plitudes and experience effective radiative damping (due to the short local thermal time scale) and nonlinear damping.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Conse- quently, they deposit their energy and angular momentum in the outer layers of the envelope.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Following earlier calculations of Zahn (1977), Hurley et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2002) delivered convenient formu- lae to describe the tidal synchronisation and circularisation time scales associated with the aforementioned phenomenon.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Using these time scales combined with the formalism presented by Hut (1981), MESAbinary integrates the evolution of the eccentricity and updates spin angular frequency of each shell in the stellar model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, our calculations in MESAbinary took into ac- count the approximate influence of the dynamical tide on the orbit, at least up to the lowest possible order.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Of course, the tidal evolution formalism implemented in MESAbinary does not in- clude the effects of resonance locking.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For explicit formulae de- scribing tidal processes in MESAbinary, we refer to Paxton et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2015) (their Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We have completely ignored the effects of magnetic fields, while bearing in mind that they may mainly affect the actual stel- lar wind mass-loss rates, the efficiency of internal mixing pro- cesses and synchronisation/circularisation time scales (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' via the magnetic braking mechanism).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The impact of fossil mag- Article number, page 5 of 24 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 RLOF on ZAMS 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 - 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6- 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 e 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 - wide even 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 100 101 102 Porb (d)A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs netic fields on the evolution of massive and intermediate-mass stars was recently described by Keszthelyi et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' All details on the parameters of our models in MESA can be found in Appendix A, where we present the contents of our MESA inlists.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A concise description of the micro- and macrophysics data sources used by MESA is provided in Appendix C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Termination conditions The evolution of the binary system was carried out until at least one of the following termination conditions was met for any of the components: 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The component reached TAMS, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the central mass abun- dance of hydrogen fell below Xc ⩽ 10−4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The eccentricity was reduced to e ⩽ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The rotation velocity reached Ω/Ωcrit = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75 at the stellar surface.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Episodic mass transfer between components due to the RLOF in the periastron began.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The reasons behind providing the termination conditions out- lined above are as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Our study is exclusively dedicated to the MS phase of the evolution of EEVs, hence the first condi- tion has to be enforced.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The second condition is self-explanatory, since we are interested in non-zero eccentricities that allow for TEO excitation12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The third condition is related to the conver- gence problems that can occur in MESAbinary when one of the components nearly approaches the break-up velocity of rota- tion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Numerous assumptions and descriptions of rotation-related phenomena reach the limits of their applicability in MESA for Ω/Ωcrit ≈ 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Since for Ω/Ωcrit ≳ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75 the deviation from spherical symmetry becomes significant, a 1D treatment of the problem is no longer adequate.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For instance, the way in which such a star loses mass becomes fundamentally different from the isotropic case.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We have therefore decided to stop integrations un- der such circumstances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The last condition is related to the diffi- culty in correctly describing an episodic (near-periastron) RLOF, when a ‘blob’ of material could be ejected from the RL-filling component during each periastron passage.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, this kind of orbital phase-dependent RLOF is not expected to be observed in a binary for a long time due to strong tidal forces.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They should effectively suppress the eccentricity, making the system circular (and so the second condition can be quickly met).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Asteroseismic calculations A consequence of the assumption of the aligned vectors of the or- bital and spin angular momenta is a rule for selecting the geome- try of modes that can be tidally excited.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Under such conditions, a normal mode can be tidally excited only if mod (|l+m|, 2) = 0, e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the l = 2 TEOs will be characterised only by m = −2, 0, +2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Here we restrict our study to only l = 2, m = 0, +2 modes be- cause of two reasons.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' First, l = 2 modes correspond to the dom- inant component in the series expansion of the variable tidal po- tential.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Modes with l > 2 undergo much weaker excitation due to the dependence on (R/a)l+1, which enters Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Second, the values of FN,−2 are very small compared to their m = 0, +2 counterparts.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This can be easily seen in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2a, where we have 12 In theory, components of circular systems (e = 0) can also exhibit TEOs, provided they do not rotate synchronously.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, the number of modes observable as TEOs in these systems is much smaller than the number of potential TEOs in EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' plotted the maximum values of FNm for m = −2, 0, +2 and dif- ferent eccentricities.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' FN,−2 is approximately at least 2 – 3 orders of magnitude smaller than FN,0 or FN,2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For each model of the stellar internal structure that was saved during the synthesis of binaries in MESA, we calculated the oscil- lation spectrum using the GYRE code in the non-adiabatic regime and the second-order Gauss-Legendre Magnus integrator.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The frequencies σn,2,0 and σn,2,+2 corresponding to the non-adiabatic calculations were searched by GYRE based on the preliminary adiabatic calculations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rotational effects (Coriolis force) were taken into account using the so-called traditional approximation of rotation (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Aerts et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2010, their Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We searched for eigenvalues in the family of gravito-acoustic solutions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We assumed the necessary (differential) rotation profile inside the star from the MESA model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As we argued in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3, it is necessary to choose a rea- sonable range of frequencies to scan for eigenvalues based on Qnlm and FNm.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, we only searched for modes with |n| ⩽ 30 and frequencies, σn,2,0 ∈ (forb, Nm=0 max forb) or σn,2,+2 ∈ (max{0, forb − 2fs,core}, Nm=+2 max forb − 2 fs,core).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In the ranges shown, Nm=0 max and Nm=+2 max refer to the limits of N due to the decrease in FN,0 and FN,2, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The fs,core is the core rotation fre- quency.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We defined Nm=0 max and Nm=+2 max as N for which FN,0 or FN,2 is equal to 10−8, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' FNm starts to effectively prevent excitation of TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In practice, we numerically calculated the FNm func- tions13 for different eccentricities and obtained the log Nm max(e) relations as a fit of a fourth-degree polynomial to a set of its dis- crete points.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A summary of this process is shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2b.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For low-e orbits, the typical range of N favourable for the excitation of TEOs reaches N ∼ 101, in contrast to highly eccentric orbits, which may exhibit as much as N ≈ 100 – 200 TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 2b also shows another feature of m = −2 modes that makes them in- ferior candidates for TEOs compared to axisymmetric and pro- grade modes – as potential TEOs they always span a narrower range of orbital harmonic numbers.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Defining the frequency range for σn,2,0 is quite straightfor- ward, as these are axisymmetric modes and their frequencies do not change when switching between inertial and co-rotating frames.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The situation is quite different when it comes to the m = +2 modes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This time, due to the differential rotation inside the star, σnlm = σnlm(r) = σnlm − mfs(r), where r is the radial co- ordinate in the stellar interior and σnlm is oscillation frequency in the inertial frame.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For some eigenmodes, σnlm may change its sign somewhere in the star, depending on the shape of the rota- tional profile.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This location is known as the critical layer, where σnlm(r) → 0, and such a mode experiences severe damping due to its very short radial wavelength (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Alvan et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' To exclude these modes from our experiment, the maximum fre- quency of σn,2,+2 was set to (Nm=+2 max forb − 2 fs,core)14.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is be- cause during evolution the core rotates almost rigidly and faster than the envelope, hence the difference (Nm=+2 max forb − 2 fs,core) ⩽ (Nm=+2 max forb−2fs,env), where fs,env stands for the rotation frequency of the outermost part of the envelope.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' More details of our calculations performed in GYRE can be found in Appendix B, where we present the explicit contents of our GYRE input file.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13 Using eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5 presented by Fuller (2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14 We note that this frequency is expressed in a rest frame co-rotating with the stellar core.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 6 of 24 Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (a) Maximum values of the Hansen coefficients FNm versus eccentricity for l = 2 modes and three different azimuthal orders, m = −2, 0, +2 denoted by blue, green, and red points, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We note the marginal contribution of the m = −2 modes;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (b) Dependence of log Nm max on eccentricity with the same colour-coding as in panel a.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The colour solid lines represent the best fits of the fourth-degree polynomi- als, which we used to determine frequency ranges in the asteroseismic calculations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Derivation of L(t) The introduction of differential rotation also has consequences when it comes to interpreting the resonance condition from Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The quantity fs is no longer a constant value, so one has to decide which fs to choose.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Theoretical studies imply the in- duction of g-mode TEOs (especially of high radial order) primar- ily near the convective core boundary (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Goldreich & Nichol- son 1989) for stars with radiative envelopes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, the res- onances in our simulations are also due to p or g modes with small radial order.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, we decided to apply our resonance condition to the envelope15 (not to the interface region near the core boundary), rewriting Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1) more accurately as fNm ≡ N forb − m fs,env ≈ σnlm, (5) and use it in the subsequent modelling of L(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is essential to note at this point that the resonance condition given by Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (5) refers to fNm and σnlm expressed in a frame co-rotating with the outer stellar envelope.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although in principle the morphol- ogy of L(t) depends on the choice of the specific resonance con- dition, we note that it does not affect at all resonances due to 15 In the exact approach, different resonance conditions would have to be used for different modes, depending on the radial coordinate inside the star where a given TEO is dominantly excited.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Here we assume a single form of resonance condition for all modes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' m = 0 modes and should not significantly affect resonances cor- responding to p modes or low-|n|, m = +2 g modes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Having a set of eigenfrequencies calculated by GYRE and knowing the history of the binary evolution from MESA, we per- formed the summation shown in Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (4).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, this was not a direct summation running over the models saved by MESA and GYRE, as their temporal resolution was still too coarse compared to the duration of a typical resonance.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' To circumvent this prob- lem, we interpolated the temporal variations of each oscillation frequency and all necessary parameters of the binary system us- ing Akima cubic spline functions (Akima 1970).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Then, we were able to calculate the values of L(t) on a uniformly-spaced time grid with a constant time step of 2,000 years, which we assumed to be identical for all EEVs in our simulations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' From here on, we will use the term ‘resonance curve’ as a proxy for the L(t) time series.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 3 shows a compilation of example resonance curves, although we postpone discussion of these to Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' To- gether with the initial parameters of binary systems, resonance curves are particularly important to us in this study.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ML analysis of the resonance curves Although in Sects.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 and 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 we analyse the resonance curves based on various statistics, due to their global nature we do not distinguish many details that are ‘hidden’ in the resonance curves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' To characterise the morphology of all resonance curves in more detail (without having to perform a visual classification, which is almost impossible due to the number and complexity of the data set), we applied dimensionality reduction methods.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' With these, we were able to explore the topology spanned by the morphological features of the resonance curves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We carried out the entire analysis described here separately for the sets of curves L1(t) and L2(t), corresponding to the primary and sec- ondary components, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As a first step, we summarised each resonance curve with a vector Q that described its morphological features.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We focused our attention on two particular features: (1) the distribution of log(L) values and (2) the distribution of apparent maxima at a normalised time, t/Tmax, where Tmax stands for the max{t}.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In practice, we calculated vectors Qx and Qy which contained sets of 1,000 quantiles of normalised times corresponding to local maxima of L(t) and 1,000 quantiles of log(L), respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The levels of both calculated quantiles were spanned evenly from 0 to 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Qx describes the overall distribution of apparent maxima in time, reporting changes in the rate of resonance occurrence.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We deliberately used normalisation by Tmax because we want the results to be sensitive only to the relative distribution of the resonance events over the lifetime of the EEV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Otherwise, its val- ues would be strongly correlated with the length of the resonance curve itself16, rather than with the distribution of resonances over time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the other hand, Qy encapsulated the combined informa- tion about the mean level of log(L), any long-term trends in the resonance curve and the distribution of the heights of the max- ima.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In contrast to the Qx, we did not apply any normalisation to Qy as its absolute values carry valuable information about the strength of the resonances and the average level of the entire resonance curve.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The final vector Q was constructed as the con- catenation of Qx and Qy, which had previously been scaled using the variance in the sets of all Qx and Qy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The resulting Q has a total of 2,000 dimensions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 16 Which in turn is an almost a direct approximation for the mass of the primary component.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 7 of 24 0 log (max[FNm )) 6 8 a) 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 m=+2 m=0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 m=-2 max 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 (b) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 eA&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Sample of resonance curves obtained as described in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Each panel corresponds to a different arbitrarily-chosen binary system with the rounded values of their initial parameters given on the right.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The dark red and blue curves reflect the behaviour of L(t) for the primary and secondary components, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For clarity, L2(t) has been shifted vertically by three orders of magnitude downwards.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Time t = 0 indicates ZAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A sudden break in L2(t) on the bottom panel (after about 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 Myr) indicates L2 = 0, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the absence of any resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The differences in the height of the peaks are due to different values of γnlm and min{|σnlm − fNm|} for excited TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 8 of 24 14.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6Mo M1 M2 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0M 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='32Qcrit 21 22 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='31Qcrit fov,1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='022 fov, 2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='019 primary secondary 103- 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='52 e Tperi 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='23 Bwind 583.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='9 101- 2 0 4 6 8 10 12 M1 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8Mo M2 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2Mo 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='11 2crit 21 22 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='162crit fov, 1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='016 fov,2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='015 103- 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='29 e uody 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='53 Bwind 828.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 101.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' C2 / 103 10 20 25 5 15 30 L 23.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 Mo M1 106.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M2 13.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 Mo L 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='43 2crit 21 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='44 2crit 22 fov,1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='022 104 fov,2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='019 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='62 103.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Tperi 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='32 Bwind 102.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 806.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 101.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2 3 4 5 6 0 M1 19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8Mo M2 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5Mo 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 21 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='24 Qcrit 22 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='18Qcrit 104.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='018 fov, 1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='015 fov,2 103- 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='31 e Tperi 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='68 102 Bwind 893.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 101- 5 6 0 3 4 8 t (Myr)Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs In the next step, we performed a preliminary dimensional- ity reduction of Q by means of the Principal Component Analy- sis (PCA, Pearson 1901), obtaining pre-processed ‘morphology’ vectors, θPCA.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' PCA is a method that orthogonally projects the data into a coordinate system in which successive vector com- ponents explain a smaller and smaller part of the data variance.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The target number of its dimensions returned by PCA for each Q was set to 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This value was chosen experimentally by ex- amining the percentage of the total variance of the data set ex- plained by successive PCA components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For L1(t), the first ten PCA components explained a total of 99.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8% of variance (first component – 79% and second component – 19%).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For L2(t), the corresponding value was 98.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5% (in this case, the first PCA com- ponent explained 60% of the total variance, while the second explained 22%).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We then performed the final 2D embedding by applying UMAP on the collection of θPCA vectors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' UMAP is a multi- purpose non-linear dimensionality reduction technique that con- structs a low-dimensional projection that preserves as accurately as possible the topological structure of the input data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For in- stance, in this case, a pair of embeddings of resonance curves with similar properties (in the sense of their summary statistics described above) are expected to lie in mutual vicinity on the 2D UMAP plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Let us denote the UMAP results as θUMAP.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The manifold spanned by θUMAP (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5) allowed us to ef- fectively examine the differences in the morphology of the res- onance curves and their dependence on the initial parameters of the simulated EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Unlike PCA, UMAP is a complex method, with many free parameters that need to be adjusted with care, as the resulting embedding may depend heavily on their choice.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Appendix D provides all the ‘technical’ details of this process, including the values of the most important UMAP parameters adopted in this study.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Results 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' General properties of synthesised EEVs Before going into a detailed analysis of the resonance curves, we briefly characterise the general properties of the models we have synthesised using the MESAbinary and GYRE codes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Evolutionary tracks in HRD Figure 4 shows a pair of HRDs with a compilation of all 20,000 evolutionary tracks that we obtained in our simulations for the primary (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4a) and secondary (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4b) components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although it is impossible to clearly present thousands of evolutionary tracks on a single HRD, we have highlighted and colour-coded a small fraction of them in order to describe some of their features.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' First of all, only a fraction of the primaries reached TAMS when the central mass abundance of hydrogen dropped be- low 10−4 (according to the first of our termination conditions, Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Many evolutionary tracks were interrupted at MS due to the fulfilment of one of the other termination conditions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Secondly, a number of tracks clearly change their character after crossing the line corresponding to the bi-stability jump (around Teff = 26,000 K).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is due to the associated sharp increase in the wind mass-loss rate, as it tries to keep the stellar luminosity constant.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In some circumstances, the mass-loss rate is so high that the star loses a significant part of its envelope17.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This effect 17 We recall that these high mass-loss rates are not exclusively derived from the description of Vink et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2001).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rotational and tidal amplifi- ‘pushes’ the star back to the high effective temperature region and is particularly pronounced for the most massive stars in our sample (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4a, evolutionary tracks that ‘turn around’ and cross the bi-stability jump for a second time).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' EEV groups in terms of the termination condition Only four of the seven18 termination conditions actually oc- curred in our simulations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The majority of our EEVs (∼67.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 %) ended up as MS RLOF systems in which the primary compo- nent filled its Roche lobe during the periastron passage.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The next most numerous group (∼22.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 %) were systems in which the primary component successfully reached TAMS (Xc ⩽ 10−4).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' About 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 % of the binaries managed to circularise their orbits before any other termination condition was met.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The last group contains only about 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='04 % of the total sample.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is the group where the primary’s rotation velocity exceeded the maximum al- lowed angular velocity (Ω / Ωcrit ⩾ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 5 presents these four groups of EEVs on the Porb-e plane and allows a comparison of the initial (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5a) and final (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5b) states of the aforementioned distribution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As expected, the EEVs with the shortest orbital periods and high eccentricities tended to circularise their orbits before leaving the MS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Their trajectories in the Porb-e diagram (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5c) follow smooth, almost vertical lines due to the strong tidal damping of eccentricity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the other hand, the integration of the evolution of systems with large distances between components at periastron (�rperi ≳ 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5) has been terminated mainly due to the exhaustion of hydrogen in the primary’s core.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although the majority of EEVs belonging to this group do not significantly change their orbital parameters during evolution, there is a subgroup of them that behaves quite differently.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It can be recognised as the distinct ‘cloud’ of green dots in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5b, represented by the mainly horizontal green tracks in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These are systems that were characterised by very strong stellar winds at the end of the MS phase and have lost much of their envelopes, so that their orbital period has increased significantly (Kepler’s third law).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The most numerous group of EEVs, in which the primary component has filled its Roche lobe in the MS phase, forms a kind of ‘bridge’ between the two previously mentioned groups and merges with them.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The shapes of the corresponding trajec- tories on the Porb-e plane may vary from system to system, de- pending on the interplay between tidal forces and the intensity of stellar winds, so no single ‘type’ of track can be assigned to them.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, many of them resemble the inverted Greek letter ‘Γ’ – initially, the system drifts horizontally (towards the longer orbital period) as a result of the mass loss and/or spin- orbit coupling, and then undergoes more or less rapid circulari- sation (moves vertically downwards) under the influence of the intense tides, which come to the fore when the primary compo- nent almost fills its Roche lobe.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Only 8 out of 20,000 EEVs underwent efficient spin up of both components due to the pseudo-synchronisation (when the rotation period of the star ‘matches’ the rate of orbital motion at periastron, so that there is no net torque over an orbital cycle, e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hut 1981).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These few systems are located in the upper right cation mechanisms can significantly intensify stellar winds in our sim- ulations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These phenomena are particularly well-pronounced when the component is close to TAMS, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', its radius approaches the Roche-lobe radius.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 18 In Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 we give four types of termination conditions, but three of them apply independently to both the primary and secondary compo- nents.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 9 of 24 A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (a) HRD with the evolutionary tracks of primary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The grey area corresponds to the region occupied by the full set of 20,000 tracks, while a subsample of 100 randomly-selected tracks is indicated with coloured points connected by black solid lines.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Each point rep- resents one saved MESA model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The colour coding reflects the central hydrogen abundance.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The effective temperature of the bi-stability jump (Teff ≈ 26,000 K) is marked with the vertical dashed line.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The abrupt change in the behaviour of some evolutionary tracks after crossing the bi- stability jump region is due to a significant change in the wind mass-loss rate;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (b) The same as panel (a), but for a set of secondary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We note the difference in the ranges of the two axes in panels (a) and (b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' More details are discussed in the main text.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' corner of Figs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5a and b.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Their orbits were initially highly eccen- tric yet relatively widely-separated at periastron (�rperi ≈ 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 – 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thus, in combination with the lower masses of the pri- mary components (M1 ≈ 5 M⊙), there was no effective tidal dissipation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, the envelopes of these stars tended to ro- tate pseudo-synchronously with the orbit (due to the relatively long nuclear time scale of the evolution of a 5 M⊙, the primaries had enough time to do so).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Consequently, this led to a very fast rotation of the primary component, exceeding the threshold of Ω/Ωcrit = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Internal structure and asteroseismic properties The shape of the resonance curve depends not only on the global properties of the components and the orbit, but also on the inter- nal structure of the stars, which directly affects seismic proper- ties (i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the spectrum of eigenmodes).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, within the lim- ited volume of this paper, we would like to show at least one rep- resentative example of the evolution of the internal properties of the primary component for an arbitrarily-chosen EEV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 6 shows the evolution of a primary with mass M1 ≈ 13.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 M⊙ in a system with an initial eccentricity e ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 and an initial orbital period Porb ≈ 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 d.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In our simulations, this particular system finished its evolution due to the circularisation of its orbit after about 12 Myrs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The HRD in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6 reveals the ‘non-standard’ evolutionary track of the primary due to the sharp change in the mass-loss rate after crossing the bi-stability jump (right panel in the top row of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The same panel also shows how the pri- mary’s surface rotation rate varies over time – as the mass-loss rate increases, it loses a lot of spin angular momentum and slows down its rotation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The eccentricity and orbital period monotoni- cally decrease with time (middle panel in the top row of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6), except for a short episode of increase in Porb caused by the ir- reversible loss of a large part of the envelope.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We have selected three epochs in the evolutionary history of this EEV (labelled A, B, C on the HRD), for which we have presented the appearance of the rotational profiles, mode propagation diagrams and oscil- lation spectra of the primary component in the bottom part of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Epoch A corresponds to the phase of evolution just af- ter leaving the ZAMS, epoch B is characterised by Xc,1 ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='45, and finally, epoch C marks the situation just before the complete circularisation of the EEV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Let us briefly describe the changes occurring in each of the three types of diagram below.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The internal rotation profile of the primary is almost constant for epoch A, but by then a division between a faster-rotating core and a slower-rotating envelope begins to emerge.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The aforemen- tioned division becomes particularly apparent in epoch B, when the core has developed a rotation rate approximately 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 times that of the surface layers.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As can be seen, the contracting core ro- tates as a rigid body throughout the MS lifetime due to efficient angular momentum transport supported by convection.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The outer part of the envelope also rotates almost rigidly, but this time it is due to large-scale Eddington-Sweet meridional flows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The angu- lar velocity gradient in the primary starts to gradually decrease as the star reaches epoch C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Various mixing processes in the chemically-modified layer left by the core lead to the diffusion of angular momentum from the core to the envelope.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, the rotational profile inside the star becomes a smooth function of the radius (rather than a step-like function as for epoch B).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 10 of 24 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 (a) (b) 5 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 4 - 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='42 X 1og ( 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 2 - 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 bi-stability jump 1- 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='9 log (Teff, 1 / K) log (Teff, 2 / K)Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Orbital period-eccentricity distributions of 20,000 modelled EEVs;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (a) Initial distribution of e as a function of Porb.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Colour-coding corresponds to the termination conditions described in Sect 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the RLOF of the primary component during periastron passages before reaching TAMS (black), exhaustion of hydrogen in the primary’s core (primary at TAMS, green), almost complete circularization of the or- bit (e = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01, magenta), and the maximum allowed rotation rate of the primary component (Ω / Ωcrit = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75, orange).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A pair of dashed hori- zontal lines mark the boundary values of the initial eccentricity, e = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 and e = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (b) Same as in panel (a), but for the final state of each modelled binary system;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (c) Random selection of 400 orbital evolution tracks with the same colour-coding as in panels (a) and (b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The majority of TEOs in our simulations belong to the g- mode family of oscillations, so it is very important to control the behaviour of the Brunt-Väisälä buoyancy frequency, NBV, in our models.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Together with Lamb frequency for l = 2 modes, S l=2, they carry information about g and p mode cavities and their evanescence regions (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Aerts et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2010, their Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The evolution of NBV and S l=2 is presented in the middle column of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The blue and grey shaded regions denote the posi- tion of the l = 2 p-mode and g-mode propagation cavities, re- spectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The white areas that lie between the Brunt-Väisälä and Lamb frequencies correspond to the evanescence regions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' During evolution, the receding convective core builds up a large g-mode trapping cavity, which is very important for their fre- quency spectrum.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Additionally, the behaviour of the NBV just be- low the stellar photosphere reveals a pair of thin subsurface con- vection zones, expected for this type of star (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Jermyn et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Comparing the mode propagation diagrams for epochs A and C, it can be seen that also the p modes can penetrate deeper and deeper into the primary as it gradually depletes the hydrogen in its core.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The right column in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6 contains most of the information that is directly used to obtain the resonance curve.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The horizontal bars at the top of each panel correspond to the frequency range in which GYRE looked for potential TEOs (according to the criteria adopted in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We recall that that their width depends on the Nm max(e) functions, so as the system evolves towards lower ec- centricities, these bars are shorter and shorter (i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' fewer harmon- ics of the orbital frequency can effectively drive TEOs).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' With the thick, short vertical lines we mark the location of the tidal forcing frequencies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As can be seen, the separation between successive values of fNm becomes larger with passing time due to the in- crease in forb.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The eigenfrequencies found by GYRE are marked with the long thin vertical lines, while the linear damping rates of these modes are shown as black solid and dotted lines.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The presented set of three synthetic oscillation spectra reveals a typ- ical structure for g modes with their asymptotic behaviour for large radial orders (which correspond to lower frequencies).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It may appear that the dense ‘forests’ of eigenfrequencies end too early relative to the left limits of horizontal bars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, this is not a mistake, but a direct consequence of the maximum |n| we allowed in the calculations – modes with lower frequencies would have larger radial orders than thirty.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' During the evolution of the EEV, both the forcing frequencies and the oscillation spec- trum shift, so the intersection of these two vertical line patterns is virtually inevitable in most cases.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Each of these intersections is the source of a single resonance that can give rise to a noticeable TEO at the level of the photosphere.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The ‘visual inspection’ of resonance curves The resonance curves are characterised by a striking diversity in terms of morphology, which is already partly evident in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The four examples of L1(t) and L2(t) shown in this figure show that the components of the EEVs can experience, firstly, a very different number of resonances and, secondly, their distribution in time can take various forms.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The heights of the maxima of the resonance curves are mainly dictated by the γnlm of the mode to which the smallest difference corresponds, (σnlm − fNm).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Sta- tistically speaking, modes with larger |n| are more strongly non- adiabatic (have larger damping rates), hence the maxima they induce in the resonance curves are lower (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Eq.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (3)).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Another factor determines the extent of the resonant maximum in time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is determined by the relative ‘velocity’ with which the eigenfre- quency spectrum crosses the fNm spectrum.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' By ‘velocity’ here we mean the rate of change of these two independent frequency spectra.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It should be emphasised that there are also numerous cases in which L(t) drops sharply to zero at some point (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L2(t) curve in the bottom panel of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3) or resonances do not occur at all (see Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 and Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Such a situation can occur, for exam- Article number, page 11 of 24 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 initial distribution 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 - e 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4- 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 - RLOF of the primary minimum eccentricity (a) primary at TAMS maximum rate of rotation 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 final 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 distribution 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 - e0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4l 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 - (b) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 - sample tracks 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 - e0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4l 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 - (c) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 100 101 102 Porb (d)A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Summary plot of the properties of the primary component of one of the arbitrarily selected binary systems from our simulations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The approximate initial parameters of this particular system were as follows: M1 ≈ 13.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 M⊙, M2 ≈ 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 M⊙, e ≈ 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4, and �rperi ≈ 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The integration of the system was terminated because of its circularisation.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The top row of panels shows, from left to right, evolutionary track in the HRD, the evolution of the orbital period and eccentricity, and the temporal changes of the wind mass-loss rate and surface rotation velocity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The vertical dashed lines in the latter two diagrams correspond to epochs A, B, C in the HRD.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The lower part of the figure shows the internal rotation profile (left column), the mode-propagation diagram (middle column) and the synthetic oscillation spectrum (right column) for epochs A, B, C (shown in consecutive rows labelled with these letters).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The rotation frequency inside the primary is drawn as a function of fractional radius, r / R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The range of rotation frequency is different in the three panels.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The mode-propagation diagram shows the dependence of the Brunt-Väisälä frequency (black line) and Lamb frequency for l = 2 modes (blue line) on the fractional radius.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The grey and blue shaded areas correspond to the propagation cavities of the g and l = 2 p modes, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The synthetic oscillation spectrum diagrams contain several different pieces of information.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The light blue and light red horizontal bars delineate the range of frequencies allowed by the FNm values.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In the background of each, the blue and red short vertical lines indicate tidal-forcing frequencies lying within these ranges.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The synthetic oscillation spectra calculated by GYRE are marked with red (σn,2,0) and blue (σn,2,+2) long vertical lines.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Their corresponding linear damping rates are plotted as solid (γn,2,0) and dashed (γn,2,2) black lines.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The frequency scale on the abscissa axis refers to the rest frame co-rotating with the primary’s core.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 12 of 24 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='40 F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='350 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 - C 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='9 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='35 V!' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='35 - 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='50 - F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='325 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='30 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75 - F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='300 B yr- 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 log (M / (Mo) 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='00 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='275 C e 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='20 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 - F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='250 Ci 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='15 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='50 - F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='225 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='10 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75 - 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='20 - F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='200 iA IB 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='05 C!' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='00 - dA F 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='175 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 → 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='00 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='15 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='46 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='44 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='42 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='40 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='38 2 4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='36 0 2 6 10 6 8 10 12 4 8 t (Myr) log (Teff /K) t (Myr) Rotational profile Mode propagation Oscillation spectra 140 - 10-8 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='487 120 - 10-7 , 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='486 - ）100- 9-01- p (d-l) C 08 Fs-0[- S 60 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='484 - 10-4 - 40 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='483 - 10-3 - 20 - 10-2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='482 0 140 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='46 - 10-8 - 120 - 10-7 , 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='44 - ）100- 10-6 _ (d-1) 80 - 10-5 S uul C 10-4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='40 - 40 - ε-01- B 20 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='38 - 10-2, 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='310 : 140 - F8-01 NBV l=2, m=0 modes 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='305 - 120 - St=2 l= 2, m= 2 modes 10-7 g-modes 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='300 - 100 n,2,0 propagation cavity 10-6 - →-.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' n,2,2 p I = 2 p-modes ）0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='295 - fn,0 08 propagation cavity 2 p 10-5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' fn,2 S C 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='290 - 09 range between 10-4 .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='285 - 40 - range between fmi=?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' and fmax?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='280 - 10-3 _ c 20 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='275 - 10-2 - 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 80 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 2 6 r/R r/R Frequency (d-1)Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs ple, when the oscillation spectrum lies completely outside the frequency range allowed by the FNm coefficients or the nuclear timescale of the secondary is much longer than the same time scale for the primary.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Under such circumstances, the secondary component will remain close to the ZAMS until the termina- tion condition is met.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thus, it will not significantly change its internal structure and oscillation spectrum.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This in turn means that the oscillation spectrum will not move relative to the tidal forcing frequencies, effectively reducing the number of possible resonance events.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ‘Long’ resonances Our sample of resonance curves includes a particular group of L(t) curves that exhibit exceptionally long duration resonances compared to typical ones (we will refer to them as ‘long res- onances’).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 7 presents parts of three representative res- onance curves belonging to this group.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The shaded regions in the figure mark the position of the long resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As can be clearly seen, the typical resonance usually lasts for about 103 – 104 years, which is approximately 100 times shorter than the du- ration of a long resonance (of the order of 105 – 106 years).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They originate from the intersection of one of the fNm frequencies with the σnlm frequency at a very small angle, in terms of their tempo- ral evolution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As a result, they remain for a relatively long time in very close vicinity, leading to a broad resonance overlapping with narrower ones (originating from other intersections of the fNm and σnlm frequency spectra;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' especially the middle panel in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 7).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The long resonances are interesting for at least two reasons.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' First of all, they are natural candidates for resonantly- locked TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, based on our simulations, it is difficult to say whether an extended resonance would persist when the back-reaction of a TEO on the orbit is taken into account.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Sec- ondly, if the energy exchange between the eigenmode and the or- bit that corresponds to a long resonance is not efficient (i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' there is a small chance that a long resonance will be lost), such a reso- nance should lead to a high-amplitude TEO without the need for resonance locking.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is simply because it has enough time to reach its saturation level due to the non-linear effects.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, we did not find any significant correlations between the occur- rence of a long resonance in L(t) and the initial parameters of our EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Total number of resonances and the average rate of their occurrence The first feature of the morphology of the resonance curves that we investigated is the total number of resonances that occurred in the primary and secondary components, Nres,1 and Nres,2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' How- ever, we did not calculate these statistics directly from L1(t) and L2(t), because some of the apparent maxima may actually be a blend of more than one resonance event.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is especially true when the involved γnlm differ by orders of magnitude.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Then one of the resonances is characterised by a notably smaller maxi- mum, which seems to ‘hide’ in the dominant one.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Instead, we used a different approach that did not underestimate the ac- tual number of resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' When post-processing the generated models, we simply counted each intersection of the σn,2,0 and σn,2,+2 frequency spectra with their counterparts fN,0 and fN,2, re- spectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The results of such an analysis are depicted in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The most important thing about Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8 is that it shows the absolute number of resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' EEVs can experience hundreds or even thousands of resonances during their evolution on MS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 7.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Example resonance curves of the primary component for three different EEVs from our simulations that exhibit long resonances (high- lighted by the shaded areas in each panel).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We note a substantial differ- ence in the width of typical and long resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These long resonances are good candidate for excitation of high-amplitude or resonantly- locked TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It would therefore be wrong to claim that these phenomena are rare in massive and intermediate-mass EEVs, although in gen- eral, resonances are quite short-lived compared to the nuclear time scale.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The total number of resonances experienced by the primary component (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8a) shows a correlation with both its initial mass and the initial eccentricity of the system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The mildly decreasing trend of Nres,1 towards higher M1 originates from the fact that the mean lifetime of the star on MS shortens with in- creasing mass.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the other hand, the wide range of Nres is mainly due to differences in initial eccentricity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The closer the system is to a circular geometry at the beginning of evolution, the statistically lower the value of Nres, which is self-explanatory and also applies to the secondary component (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' EEVs that have managed to circularise their orbits in the MS phase (magenta dots in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8c) have on average lower initial eccentric- ities and thus fewer resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The opposite behaviour is exhib- ited by EEVs in which the primary component has had a chance to reach TAMS (green dots in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8c).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The secondary compo- nents experience a slightly fewer resonances compared to the primaries (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8b) and there is no clear division of the Nres,2 dis- tribution with respect to the termination criterion (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8d).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The noticeably smaller number of resonances for secondary compo- nents with masses M2 < 5 M⊙ comes from the conditions of our simulations, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' secondaries with these masses occur in sys- Article number, page 13 of 24 107.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 106.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 104- 22.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 22.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 23.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 23.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 24.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 24.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 25.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 25.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 106 - L 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 104→ 3 4 5 6 7 8 9 105.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ① L 104- 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 t(Myr)A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Total number of resonances in the pri- mary (a, c) and secondary (b, d) components that we detected in our simulations as a function of the initial masses of the components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The initial eccentricity of the EEV is colour-coded in panels (a) and (b), while the corresponding scale is shown at the top of the figure.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Pan- els (c) and (d) are analogous to their counter- parts in the top row, but the colours used reflect the termination criterion (same as in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The ordinate scale is logarithmically-scaled for Nres > 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Below this value, a linear scale was applied in order to present components without resonances, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Nres,1 or Nres,2 equal to zero.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' tems with decreasing mass ratios19.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Hence, the large difference in nuclear time scales between the components means that the secondary component does not significantly change its eigenfre- quency spectrum, resulting in a smaller number of resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As we already mentioned in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2, some of the L1(t) and L2(t) curves do not reveal any resonances, which is why they lie in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8 on the horizontal line Nres = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This behaviour oc- curred for only 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='07% of our primaries.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They are all EEVs with highly eccentric orbits that quickly filled their Roche lobes at pe- riastron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' There was much more such behaviour for secondaries, about 7%, mainly for the intermediate-mass companions of the much more massive primaries.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' From an observational point of view, even more important than the total number of resonances is the rate at which they occur.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Knowing this rate, for a given population of MS EEVs, we can approximately say where we have a statistically higher chance of observing TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' After all, our observations only cor- respond to one particular moment in time, not the entire evolu- tion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Knowing the values of Nres for each component and the age of each system at termination, Tmax, we can calculate the average rate of resonances as Rres ≡ Nres/Tmax.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We show the distribution of Rres,1 and Rres,2 in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 9.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is very difficult to predict what the dependence of Rres on the mass of the component will look like, as it is the result of a complex interplay between many related factors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the one hand, it can be said that massive stars should have a smaller Rres because their lifetimes are shorter and they fill their Roche lobes relatively easily (in the considered range of orbital parameters).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the other hand, however, massive stars quickly change their internal structure (i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' asteroseismic prop- erties), so that their eigenfrequency spectra evolve rapidly, in- creasing the likelihood of interaction with the structure of the 19 We recall that the minimum mass of the primary component consid- ered in our study was equal to 5 M⊙.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' tidal forcing frequencies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The question is, which of these pro- cesses prevails?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As can be seen in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 9, it is the more massive stars that are more likely to undergo resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Both primary and secondary components with masses around 30 M⊙ have on average an order of magnitude higher Rres (∼102 Myr−1) than components with masses around 5 M⊙ (∼101 Myr−1, Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 9a and b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, the dependence of the distributions shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 9 on the initial eccentricity and termination condition is inherited from Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' At this point, we can venture the conclusion that in the case of MS EEVs, TEOs should be observed mostly in the upper part of the MS (among early B- and O-type dwarfs), which still re- quires observational verification on a large sample of massive EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although we cannot extrapolate the obtained distributions of Rres towards lower masses, these stars have an increasingly extended convective envelope, which in turn should effectively limit the photometric detection of g-mode TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the con- trary, the envelopes of massive stars are radiative, which should not prevent g-mode TEOs from propagating up to the vicinity of the photosphere.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thus, they can be more easily detected by analysing the light curves, especially in the era of high-quality space-borne photometry.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Distribution of resonances over time Since the average rate of resonances we have studied so far has effectively obliterated any differences in the corresponding tem- poral distribution, we can ask another important question: Are there any distinctive moments in the evolution of the simulated EEVs during which the systems experienced temporally higher resonance rates?' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' After visually inspecting hundreds of resonance curves, we noticed that the aforementioned rate changes dramat- ically in many cases (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' the top panel of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3 as an example).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In Article number, page 14 of 24 e 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 (a) 103 102 101 0 103 102 101 RLOF of the primary minimum eccentricity primary at TAMS maximum rate of rotation 0 5 15 20 25 30 5 10 10 15 20 25 30 Mi/Mo M2/MoKołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 9.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Summary plots analogous to Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8, but showing the average rate of resonances occur- ring in the simulated EEVs (average number of resonances per Myr).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Components that did not exhibit any resonances during the simula- tion have been omitted here as their Rres value would simply be zero.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The colour-coding is the same as in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' order to compare the temporal distribution of resonance events for the various EEVs we are dealing with, we performed this type of analysis on subgroups of systems divided according to the termination condition.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We also normalised the time variable by dividing it by Tmax of each resonance curve.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This allowed us to present the whole evolution of components on a convenient and uniform interval, [0, 1].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 10 shows the results obtained for the primary components that have managed to deplete hydro- gen in their cores.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 10 also demonstrates that the distribution discussed here is not uniform over time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Specific areas in this diagram are clearly distinguishable.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Nevertheless, this figure still contains in- formation on the total number of resonances, which makes it somewhat problematic to compare the shapes of these distribu- tions for different masses of the components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We have, therefore, prepared histograms of the times of resonances for five inter- vals of the primary’s initial mass (every 5 M⊙).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Separate sets of histograms were generated for the primary and secondary com- ponents and the three main termination conditions20.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' All his- tograms are shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The most diverse structure of the temporal distribution of res- onances is shown by systems in which the primary component has completed its evolution in our simulations at TAMS (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11a and b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In fact, for all mass ranges, the distribution has two dis- tinct maxima.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The smaller of the two is located near the ZAMS, while the other is just before reaching the TAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Their presence can be explained by the rate of change in the stellar eigenspec- trum, which is the highest (after averaging over all modes) at the aforementioned moments of evolution.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In particular, the rapid changes in the radius of the star when it is close to complete de- 20 We did not prepare separate histograms for the EEVs, whose calcu- lations were terminated due to the maximum allowed rotation rate.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The size of this group (only eight systems) was insufficient for this task.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Time distribution of the resonances of the primary component that reached TAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The abscissa axis corresponds to the normalised time and the ordinate shows the initial mass of the primary compo- nent.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In addition, the ordinate is logarithmically scaled, so the set of resonance curves is almost uniformly distributed in the vertical direc- tion.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The total number of resonances contained in one hexagonal bin is colour-coded according to the scale on the right.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' pletion of hydrogen in its core cause a very high ‘concentration’ of resonances in the final MS phase.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The height of this domi- nant maximum decreases towards higher masses, but at the same time it becomes wider and wider.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The distribution for the sec- Article number, page 15 of 24 3×101 2×101 - 104 Mi /Mo 101.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 103 6× 100 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 t / Tmaxe 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 102 101 0 (a) 10-2 102 101 109 C RLOF of the primary minimum eccentricity 10-2 primary at TAMS maximum rate of rotation 5 10 15 20 25 30 5 10 15 20 25 30 Mi/Mo M2/MA&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Histograms of the normalised times of resonances occurring in the primary (left column) and secondary (right column) components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The consecutive rows (from top to bottom) correspond to EEVs satis- fying different termination conditions, as labelled in panels (a), (c), and (e).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The colour of the histogram is related to the initial mass range of the primary and is described in the legend in panel (b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We note that the histograms on the right (corresponding to the secondaries) refer to the different mass ranges of the primary component, not the secondary.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For example, the yellowish histogram in panel (b) summarises the be- haviour of all secondaries of the systems with the primaries having mass M1 > 25 M⊙, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' without distinguishing the mass ranges of M2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The range of the ordinate axes is the same in each panel.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ondary components also reveals this kind of maximum near the TAMS, which is particularly well pronounced for companions of primaries with masses ≳ 25 M⊙.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Given these facts, an inter- esting conclusion can be drawn.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Massive and intermediate-mass EEVs with at least one component leaving the MS should expe- rience an increased rate of encountered resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' One might therefore suspect that there is a statistically higher chance of ob- serving TEOs in more evolved EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The properties of the his- tograms for EEVs in which RLOF eventually occurred at the periastron (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11c and d) are very similar to the case described above.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The only evident difference between the two is the reduc- tion in maximum of the distribution near TAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is due to the fact that the primary is likely to start the RLOF earlier than it reaches the TAMS, preventing the occurrence of a large number of resonances in a relatively short time, as mentioned earlier.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Eccentric systems that are subject to effective circularisation (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11e and f) behave quite differently from the two previous cases.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They experience the vast majority of their resonance phe- nomena at the beginning of evolution, and then reduce the num- ber of resonances almost monotonically, as the orbital eccentric- ity becomes smaller and smaller with time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Hence, the chance of observing TEOs in initially relatively tight EEVs (cf.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5a) is largest in the vicinity of ZAMS, which stays in contrast to the systems described above.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Investigation of the morphology of resonance curves using UMAP All the analysis described above was based solely on the distri- bution of resonances in time, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' neglecting the actual morphol- ogy of the resonance curves, e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' differences in the height and width of resonance maxima, mean level of L(t), long-term trends in L(t), etc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Using the dimensionality reduction techniques pre- sented in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5, we constructed 2D UMAP embeddings of the space of resonance curves in terms of their morphological features.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figures 12 and 14 show the results obtained for the res- onance curves of the primary and secondary component, respec- tively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We recall that the idea of the low-dimensional embedding performed here is to preserve the distances between two points in the original space as accurately as possible, so that the distances in the 2D plane reflect the distances in the full (original) space of morphological features (the vector of 2,000 quantiles, Q).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In other words, a pair of distant points in Figs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12 and 14 should cor- respond to resonance curves with notably different morphologies and ,vice versa, a pair of resonance curves with similar proper- ties is expected to lie in mutual vicinity on the 2D UMAP plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thanks to this key property of UMAP and many other dimen- sionality reduction methods we can effectively explore the entire space of resonance curve morphologies.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' UMAP plane for primary components We begin with a discussion of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Firstly, the presented 2D embedding does not indicate the presence of any well-separated groups among the resonance curves for the primary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This is an observation that is true over the entire range of differ- ent values of the UMAP free parameters (Appendix D) as well as for the different summary statistics of the resonance curves that were considered during the preliminary experiments.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The mor- phology of the resonance curves changes smoothly depending on to the initial parameters of the simulated EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Secondly, as can be seen in Figs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12b and c, the initial eccentricity and normalised periastron distance are parameters strongly correlated with the overall morphology of the resonance curves of the primary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, their gradients in the UMAP plane are approximately orthogonal.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, the pair of these parameters is the primary factor that determines the shape of L1(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The termination condition (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12e) gener- ally follows the behaviour of �rperi except at small periastron dis- tances, when the morphology remains similar but the simulations were terminated due to hydrogen depletion in the primary’s core or near-complete circularisation of the orbit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The initial mass of the primary component (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12a) and its initial angular velocity of rotation (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12d) are second-order factors shaping the mor- phology of the L1(t) resonance curves.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In the inner part of the plane, M1 is distributed almost randomly.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The clear exception is Article number, page 16 of 24 (b) Mi/Mo≤10 (a) 5 1025 3 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 0 (c) (d) 5 RLOF of the primary 0 (e) (f) 5 minimum eccentricity 4 - 3 - 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='8 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 t/ TmaxKołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs the boundary of the plane which can be roughly divided into two parts of mostly high or low initial mass of the primary.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A simi- lar conclusion can be drawn for the initial Ω1/Ωcrit,1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This time, however, the upper right part of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12d reveals a well-defined group of high initial Ω1 / Ωcrit,1 and�rperi.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is difficult to include here a complete presentation of the changes in the morphology of L1(t) as a function of their posi- tion on the UMAP plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, we only focus on some ex- treme points to present some boundary cases.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 13 shows examples of L1(t) from different areas of the morphological plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Primary components with lower masses and high initial eccentricities are generally characterised by resonance curves with high mean levels and a rich set of resonances, as shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13a.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The resonance curve depicted in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13b repre- sents intermediate-mass fast-rotating primary with large initial �rperi and low initial eccentricity.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Here, the base level of L1(t) increases by an order of magnitude and then the system expe- riences a large number of resonances, during the evolution near TAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The increase in the mean value of L1(t) is characteris- tic of stars with a high initial rotation rates.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Primary components lying between points (a) and (b) generally do not manifest this characteristic.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moving along a straight line on the plane from (a) to (b), the increase in the number of resonances during the evo- lution near TAMS becomes more and more apparent.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Figure 13c shows an example of a system with a small initial eccentricity and a short periastron distance at ZAMS that is rapidly circu- larising.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As expected, the L1(t) resonance curves for such ob- jects have a small number of resonance maxima and a low base level.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The case corresponding to the larger initial eccentricity is shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13e, where the total number of resonances is much greater.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In this case, the evolution is mainly distinguished by a decrease in the frequency of resonances with time, related to the efficient circularisation of the orbit, and therefore a decrease in the mean level of L1(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Finally, the resonance curve in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13d is representative of the most EEVs between points (c) and (d).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They are characterised by an approximately uniform distribution of resonances over time and an almost constant base level of the resonance curve.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' UMAP plane for the secondary components The situation for the secondary component (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14) is quite dif- ferent from the previous case.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The UMAP manifold obtained for the set of L2(t) reveals slightly more complex structure than the shape of embedding in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Since the time span of L2(t) is largely determined by the mass of the primary component, the resonance curves for the secondary components were terminated at times not necessarily related to their actual evolutionary sta- tus and are statistically shorter than they could be for primaries of the same mass.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For this reason, secondary components ex- perience, on average, fewer resonances, but, at the same time, their resonance curves can take more diverse forms compared to L1(t).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Undoubtedly, the main factor shaping the morphology of the L2(t) is the initial eccentricity (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14c), which with the ex- ception for two small areas, varies smoothly across the UMAP plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The other parameters (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14a, b and d) play a secondary role, showing the complex and fine structures on the plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As can easily be seen in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14a, the extreme cases of L2(t) in terms of their morphology belong almost exclusively to the EEVs with intermediate-mass secondary components hat gather at the pe- riphery of the plane.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Some of these objects even form slightly better separated groups, isolating from the central part of the area.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Five limiting examples of resonance curves for secondary components are shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 15.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Panels (a), (c) and (e) to- gether with the area they approximately enclose contain res- onance curves morphology very similar to that described for primary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The resonance curves belonging to the ‘clouds’ of points labelled as (b) and (d) in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 15 are com- pletely different.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' They are distinguished by the complete absence of resonances during a certain period of the evolution of the system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The differentiating feature of these cases is the disap- pearance of resonances from some time to the end of evolution (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 15b) or the presence of resonances only around the middle of the considered evolution time (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 15d).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Summary and conclusions In our paper, we aimed to investigate the temporal variation of conditions that favour excitation of TEOs in EEVs with massive and intermediate-mass MS components (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2) and see how their picture changes with different initial parameters of the sys- tem.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In order to achieve this goal, we simulated the evolution of 20,000 EEVs using the MESA software in combination with the GYRE stellar oscillations code (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Our calculations started at ZAMS and were terminated if one of the conditions presented in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 was met.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We considered only modes with l = 2, m = 0, +2 because they are expected to be dominant TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We also assumed that all TEOs are due to chance resonances, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' we neglected the effect of TEO on the orbit.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Knowing the evolution of the orbital parameters of simulated EEVs and the temporal changes in the eigenmode spectra of the components, we were able to derive resonance curves L1(t) and L2(t) defined by Eqs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (4) and (3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The equations reflect the overall resonance conditions, and thus indirectly also the chance of TEOs, sepa- rately for the primary and secondary components of our simu- lated EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' After visually inspecting the obtained resonance curves, cal- culating basic statistics for them and applying ML-based meth- ods to the entire data set, our main results can be summarised as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Resonance curves are characterised by striking diversity in terms of their morphology (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' EEV components can experience a very different number of resonances, and their distribution over time can take various forms, including the lack of resonances over a long periods of time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We also distinguished a group of resonance curves that exhibit pro- longed resonances, about two orders of magnitude longer than typical (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1, Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 7).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' These long resonances are the potential sources of high-amplitude and resonantly- locked TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Resonances between tidal forcing frequencies and the spec- trum of stellar normal modes are not rare events among mas- sive and intermediate-mass MS EEVs (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although the total number of resonances depends mostly on the initial orbital parameters, it is typically of the order of 102 – 103 for a given system during the entire MS phase (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 8).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Let us emphasise at this point that these numbers are rather lower limits for the actual Nres in EEVs because we considered only l = 2 TEOs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Taking higher degree modes into account will certainly increase the reported values of Nres.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On average, the more massive a star is, the higher the rate of resonances it experiences (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For the most massive stars in our sample (≈ 30 M⊙), the average rate of resonances can reach ∼ 102 Myr−1, which is approximately an order of magnitude higher than for intermediate-mass stars (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 9).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 17 of 24 A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2D UMAP embedding of the manifold spanned by the morphological features of the resonance curves of the primary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For details on how to obtain the presented embedding, see Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Panels (a) – (d) are colour-coded with respect to the initial parameters of the simulated EEVs, as shown on the corresponding colour bars.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The other initial parameters were omitted as they were not significantly related to the location of the points on the presented map.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The different colours of points in panel (e) correspond to the termination condition, as shown in the legend on the right.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The values on the abscissa and ordinate axes were omitted as they have no physical meaning.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' For clarity, the colour-coded features have been averaged within the small hexagonal areas in each panel.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A discussion of the figure can be found in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Variations in the morphology of the resonance curve for the primary component across the 2D UMAP plane from Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The middle panel in the bottom row shows the plane with colour-coding identical to that in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12a (without hexagonal binning).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Panels (a) – (e), which surround the area, show example resonance curves that correspond to the locations on the area masked with large red dots and labelled according to the associated panel.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The positions of points (a) – (d) have been chosen in such a way as to correspond to different extreme positions in the plain, while point (e) refers to one of the intermediate cases.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A discussion of the figure can be found in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 18 of 24 (a) (b) (c) 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 25 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 20 1(M) rperi 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 e 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 10 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 (d) (e) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='45 RLOF of the primary 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='40 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='35 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 minimum eccentricity 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='20 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='15 : maximum rate of rotation(a) (c) 105 106 - L 104 105 0 20 40 60 0 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 10 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='00 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='50 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='00 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='50 2 6 (b) 106 (p) LLF (e) 105 (a) (d) (e) (C 103 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 t (Myr) t (Myr)Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 14.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Same as Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12, but for a set of resonance curves of the secondary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 15.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Same as Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13, but for a set of resonance curves of the secondary components.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The distribution of resonances over time is not homogeneous and depends primarily on whether the system circularises be- fore the primary reaches the TAMS or RLOF occurs at the periastron (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4, Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We noticed a particular mo- ment in the evolution of our EEVs near the TAMS, when the components undergo an increased number of resonances in a relatively short time (Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 11a and b).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The low-dimensional representation of the morphology of the resonance curves, summarised by quantile-based statis- tics and subsequently processed by UMAP, shows that its manifold forms a rather smooth distribution without well de- fined (separated) groups (Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5, Figs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 12 and 14).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Less differentiated, at least in terms of the adopted method, are the resonance curves of the primary components, for which the initial eccentricity and the normalised periastron dis- tance largely determine their morphological features.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Al- though secondary components experience far fewer reso- nances, their shapes are generally more complex due to the Article number, page 19 of 24 (a) 25 (b) (c) 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 20 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6 M2(Mo) 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 15 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 , 10.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 e 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='4 10 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 a (e) 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='45 RLOF of the primary 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='40 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='35 crit, 2 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='25 minimum eccentricity 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='20 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='15 maximum rate of rotation106 (a) (b) (c) 105 105, L2( 104 104 - 20 40 60 80 100 0 2 6 8 10 (b) 106 (p) (e) 106 2(t) (a) L 104 105 = (p) 0 10 20 15 0 2 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6 8 t (Myr) t (Myr)A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs predominant influence of the primary component on evolu- tion time.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In light of the results obtained in our study, we can draw sev- eral interesting conclusions.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Firstly, statistically speaking, TEOs are more likely to be discovered in more massive EEVs, as their components have a higher average rate of resonances.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' This does not necessarily mean that a higher absolute number of more mas- sive EEVs exhibiting TEOs than less massive ones will be ob- served21.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, when comparing two particular systems, one with intermediate-mass components and the other with much higher masses of the components, it is for the latter that we have a statistically higher chance that some resonance is currently underway there.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Secondly, it seems that TEOs should be espe- cially well visible in EEVs that contain a component approach- ing TAMS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Given these facts, the ‘extreme-amplitude’ massive EEV, MACHO 80.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7443.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1718 (Jayasinghe et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Kołaczek- Szyma´nski et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022) fits this picture almost perfectly.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Its pri- mary component is a B0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 Ib-II supergiant leaving the MS and, more importantly, many high-amplitude TEOs have now been detected in this extreme system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It is possible that what the pri- mary component of MACHO 80.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7443.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1718 is currently under- going corresponds to the resonance curve shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 13b, i.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' it is in the phase of a high resonance rate caused by relatively fast changes in its radius and orbital parameters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Moreover, the am- plitudes of TEOs observed in MACHO 80.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='7443.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1718 vary over time notably, suggesting that we may witness rapid changes in the resonance conditions for the primary component of this par- ticular EEV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It would therefore be very valuable to carry out an observational study for a large sample of EEVs to verify whether TEOs are common in massive and intermediate-mass EEVs whose components have already depleted most of the hy- drogen in their cores.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' With high-quality space-borne photometric observations, both operational, such as the Transiting Exoplanet Survey Satellite (Ricker et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2015) or BRITE-Constellation (Weiss et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014), and planned missions (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Planetary Tran- sits and Oscillations of Stars, Rauer et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014), it is definitely a feasible task.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The excitation of g-mode TEOs, which propagate deep in- side the star, may be an underestimated mechanism for angular momentum (AM) transport inside the components of EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' It has long been suspected that self-excited oscillations and inter- nal gravity waves22 efficiently redistribute AM in the radial di- rection of the star (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Rogers et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rogers & McElwaine 2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Although the majority of our resonances have relatively short durations (of the order of 103 – 104 years), they can be quite frequent (especially near the TAMS), hence the question of their contribution to AM transport and mixing processes becomes ur- gent for the components of EEVs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Performing calculations that would treat the evolution of the orbit, components and TEOs in a fully self-consistent way seems particularly interesting for mas- sive eccentric systems leaving the MS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We have already entered the era of observational stud- ies of distant star-bursting galaxies and stellar populations in low-metallicity environments, that shaped the Universe in its early epochs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Recalling that the metal-poor stars were much more massive than their current metal-rich counterparts (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hosokawa et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013;' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Susa et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014), we can ask what ef- fect metallicity has on the occurrence of TEOs in massive EEVs 21 Due to the rapid decrease of the mass function towards larger stellar masses (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Chabrier 2003).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 22 Gravity waves which are stochastically driven by the turbulent con- vective motions near the interface of the convective core and the enve- lope (see Bowman et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, for a recent review).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' and how the results we presented depend on metals content.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Therefore, future studies of the importance of TEOs in massive, metal-poor EEVs seems worthy further investigation, especially because of the ongoing James Webb Space Telescope mission23 (JWST, Gardner et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006), which is certain to bring many dis- coveries in the stellar astrophysics of early stellar populations, including stars in eccentric binary systems.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Acknowledgements.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' PKS is indebted to his brother, Adam Karol Kołaczek- Szyma´nski, who oversaw the purchase and assembly of a dedicated PC workstation to enable the efficient calculation of models in MESA and GYRE.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Without his generous help, this project would literally never have been completed.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The authors are thankful to Prof.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Andrzej Pigulski for many important sugges- tions and fruitful discussions that made this manuscript more comprehensible, and to the anonymous referee for many inspiring comments that helped to improve the manuscript.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' PKS was supported by the Polish National Science Center grant no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019/35/N/ST9/03805.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TR was partly founded from budgetary funds for science in 2018-2022 in a research project under the program „Diamentowy Grant”, no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' DI2018 024648.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Much of this work was developed and written during IAU Symposium 361, „Massive Stars Near & Far”, held in Ballyconnell, Ireland, 8 – 13 May, 2022.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' PKS is very grateful to the organisers for the opportunity to participate in this event.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' References Abbott, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Abbott, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Abbott, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Lett.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', 116, 061102 Abbott, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Abbott, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Abbott, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019, Physical Review X, 9, 031040 Aerts, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Christensen-Dalsgaard, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Kurtz, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2010, Asteroseismology Akima, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1970, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ACM, 17, 589–602 Alvan, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Mathis, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Decressin, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, A&A, 553, A86 Anders, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Jermyn, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lecoanet, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2203.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='06186 Angulo, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Arnould, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Rayet, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1999, Nucl.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A, 656, 3 Beck, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hambleton, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Vos, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014, A&A, 564, A36 Björklund, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Sundqvist, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' O.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Singh, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Puls, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Najarro, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2203.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='08218 Blouin, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Shaffer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Saumon, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Starrett, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, ApJ, 899, 46 Bodensteiner, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Shenar, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Sana, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, A&A, 641, A42 Bowman, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Burssens, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Simón-Díaz, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, A&A, 640, A36 Burkart, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Quataert, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Arras, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Weinberg, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, MNRAS, 421, 983 Cassisi, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Potekhin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pietrinferni, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Catelan, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Salaris, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007, ApJ, 661, 1094 Castro, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fossati, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Langer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014, A&A, 570, L13 Chabrier, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2003, PASP, 115, 763 Choi, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Dotter, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Conroy, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016, ApJ, 823, 102 Chugunov, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Dewitt, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Yakovlev, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D, 76, 025028 Cox, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Giuli, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1968, Principles of stellar structure Cyburt, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Amthor, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ferguson, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2010, ApJS, 189, 240 de Mink, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pols, O.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Hilditch, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007, A&A, 467, 1181 Duchêne, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Kraus, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, ARA&A, 51, 269 Dufton, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Smartt, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lee, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006, A&A, 457, 265 Eggleton, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1983, ApJ, 268, 368 El-Badry, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Burdge, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, MNRAS, 511, 24 Eldridge, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Stanway, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2202.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01413 Ferguson, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Alexander, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Allard, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2005, ApJ, 623, 585 Fruchter, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Levan, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Strolger, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006, Nature, 441, 463 Fuller, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fowler, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Newman, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1985, ApJ, 293, 1 Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, MNRAS, 472, 1538 Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, MNRAS, 501, 483 Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hambleton, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Shporer, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Isaacson, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Thompson, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, MN- RAS, 472, L25 Gardner, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Mather, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Clampin, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006, Space Sci.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', 123, 485 Goldreich, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Nicholson, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1989, ApJ, 342, 1079 Götberg, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Korol, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lamberts, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, ApJ, 904, 56 Grevesse, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Sauval, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1998, Space Sci.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rev.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', 85, 161 Guo, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, ApJ, 896, 161 23 Among numerous possibilities of JWST is also the possibility of re- solving the most massive (and luminous) EEVs in the Local Group of galaxies, including nearby very metal-poor dwarf galaxies (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Sextans A dwarf galaxy, Kaufer et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2004, the metallicity of which amounts to about 1/10 Z⊙).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 20 of 24 Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs Guo, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, Frontiers in Astronomy and Space Sciences, 8, 67 Guo, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Shporer, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019, ApJ, 885, 46 Guo, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ogilvie, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Li, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Townsend, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Sun, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, MNRAS, 517, 437 Guo, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Shporer, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hambleton, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Isaacson, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, ApJ, 888, 95 Hambleton, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kurtz, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Prša, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, MNRAS, 434, 925 Handler, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Balona, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Shobbrook, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2002, MNRAS, 333, 262 Heger, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Langer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Woosley, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2000, ApJ, 528, 368 Heger, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Woosley, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Spruit, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2005, ApJ, 626, 350 Herwig, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2000, A&A, 360, 952 Hosokawa, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Yorke, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Inayoshi, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Omukai, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Yoshida, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, The Astrophysical Journal, 778, 178 Hunter, I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lennon, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Dufton, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2008, A&A, 479, 541 Hurley, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Tout, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Pols, O.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2002, MNRAS, 329, 897 Hut, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1981, A&A, 99, 126 Iglesias, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Rogers, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1993, ApJ, 412, 752 Iglesias, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Rogers, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1996, ApJ, 464, 943 Irwin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2004, The FreeEOS Code for Calculating the Equation of State for Stellar Interiors Itoh, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hayashi, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Nishikawa, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Kohyama, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1996, ApJS, 102, 411 Janka, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Langanke, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Marek, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Martínez-Pinedo, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Müller, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007, Phys.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Rep.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', 442, 38 Jayasinghe, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kochanek, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Strader, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, MNRAS, 506, 4083 Jermyn, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Anders, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lecoanet, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Cantiello, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, ApJS, 262, 19 Jermyn, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Schwab, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Bauer, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Timmes, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Potekhin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, ApJ, 913, 72 Kaufer, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Venn, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Tolstoy, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pinte, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Kudritzki, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='-P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2004, The Astronomical Journal, 127, 2723 Keszthelyi, Z.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', de Koter, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Götberg, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, arXiv e-prints, arXiv:2209.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='06350 Kirk, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Conroy, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Prša, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016, AJ, 151, 68 Kołaczek-Szyma´nski, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pigulski, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Michalska, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Mo´zdzierski, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Ró˙za´nski, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, A&A, 647, A12 Kołaczek-Szyma´nski, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pigulski, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Wrona, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ratajczak, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Udalski, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, A&A, 659, A47 Kriz, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Harmanec, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1975, Bulletin of the Astronomical Institutes of Czechoslovakia, 26, 65 Krtiˇcka, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kubát, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Krtiˇcková, I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, A&A, 647, A28 Kumar, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ao, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' O.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Quataert, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1995, ApJ, 449, 294 Lainey, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Casajus, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, Nature Astronomy, 4, 1053 Langanke, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Martínez-Pinedo, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2000, Nuclear Physics A, 673, 481 Langer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, ARA&A, 50, 107 Langer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', El Eid, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Fricke, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1985, A&A, 145, 179 Li, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Qian, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Jiao, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Ma, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, ApJ, 932, 14 Ma, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, ApJ, 918, 16 McInnes, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Healy, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Melville, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2018, arXiv e-prints, arXiv:1802.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='03426 Meynet, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Maeder, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1997, A&A, 321, 465 Moe, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Di Stefano, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, ApJS, 230, 15 Nicholls, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Wood, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, MNRAS, 421, 2616 Oda, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hino, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Muto, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Takahara, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Sato, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1994, Atomic Data and Nuclear Data Tables, 56, 231 Oliva, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Kuiper, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, A&A, 644, A41 Ostrowski, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Daszy´nska-Daszkiewicz, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Cugier, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, ApJ, 835, 290 Ouellette, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Desch, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Hester, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2007, ApJ, 662, 1268 Pablo, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Richardson, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, MNRAS, 467, 2494 Pauli, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Oskinova, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hamann, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, A&A, 659, A9 Paxton, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Bildsten, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Dotter, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2011, ApJS, 192, 3 Paxton, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Cantiello, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Arras, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, ApJS, 208, 4 Paxton, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Marchant, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Schwab, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2015, ApJS, 220, 15 Paxton, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Schwab, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Bauer, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2018, ApJS, 234, 34 Paxton, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Smolec, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Schwab, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019, ApJS, 243, 10 Pearson, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1901, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 2, 559 Pedersen, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, ApJ, 930, 94 Pedersen, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Aerts, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Pápics, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, Nature Astronomy, 5, 715 Potekhin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Chabrier, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2010, Contributions to Plasma Physics, 50, 82 Poutanen, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, ApJ, 835, 119 Rauer, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Catala, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Aerts, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014, Experimental Astronomy, 38, 249 Ricker, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Winn, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Vanderspek, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2015, Journal of Astronomical Telescopes, Instruments, and Systems, 1, 014003 Rogers, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Nayfonov, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2002, ApJ, 576, 1064 Rogers, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lin, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', McElwaine, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Lau, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, ApJ, 772, 21 Rogers, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & McElwaine, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, ApJ, 848, L1 Sana, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', de Mink, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', de Koter, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, Science, 337, 444 Sana, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Le Bouquin, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Lacour, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014, ApJS, 215, 15 Saumon, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Chabrier, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & van Horn, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1995, ApJS, 99, 713 Sen, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Langer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Marchant, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022, A&A, 659, A98 Shenar, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Bodensteiner, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Abdul-Masih, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, A&A, 639, L6 Shenar, T.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Sablowski, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hainich, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2019, A&A, 627, A151 Skowron, D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kourniotis, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Prieto, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2017, Acta Astron.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', 67, 329 Smartt, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2009, ARA&A, 47, 63 Susa, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Hasegawa, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Tominaga, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014, ApJ, 792, 32 Svirski, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Nakar, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Sari, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, ApJ, 759, 108 Thompson, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Everett, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Mullally, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, ApJ, 753, 86 Timmes, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Swesty, F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2000, ApJS, 126, 501 Tokovinin, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Moe, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2020, MNRAS, 491, 5158 Tout, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Eggleton, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1988, MNRAS, 231, 823 Townsend, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, MESA SDK for Linux, Zenodo Townsend, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Goldstein, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Zweibel, E.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2018, MNRAS, 475, 879 Townsend, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' D.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Teitler, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2013, MNRAS, 435, 3406 Van Eylen, V.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Winn, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Albrecht, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2016, ApJ, 824, 15 Viani, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Basu, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ong J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Bonaca, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Chaplin, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2018, ApJ, 858, 28 Vink, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, arXiv e-prints, arXiv:2109.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='08164 Vink, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', de Koter, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Lamers, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2001, A&A, 369, 574 Weiss, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Rucinski, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Moffat, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2014, PASP, 126, 573 Welsh, W.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' F.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Orosz, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Aerts, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2011, ApJS, 197, 4 Willems, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2003, MNRAS, 346, 968 Willems, B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Aerts, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2002, A&A, 384, 441 Witte, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Savonije, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1999a, A&A, 341, 842 Witte, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Savonije, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1999b, A&A, 350, 129 Witte, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Savonije, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2001, A&A, 366, 840 Wrona, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kołaczek-Szyma´nski, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ratajczak, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Kozłowski, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022a, ApJ, 928, 135 Wrona, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Ratajczak, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kołaczek-Szyma´nski, P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2022b, ApJS, 259, 16 Wu, X.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Alexeeva, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Mashonkina, L.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2015, A&A, 577, A134 Yıldız, M.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Yakut, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Bakı¸s, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Noels, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006, MNRAS, 368, 1941 Yoon, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Gräfener, G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Vink, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Kozyreva, A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Izzard, R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' G.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2012, A&A, 544, L11 Yoon, S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Langer, N.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Norman, C.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2006, A&A, 460, 199 Yu, H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', Fuller, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=', & Burdge, K.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, MNRAS, 501, 1836 Zahn, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1975, A&A, 41, 329 Zahn, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' P.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1977, A&A, 57, 383 Zanazzi, J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' J.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' & Wu, Y.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021, AJ, 161, 263 Article number, page 21 of 24 A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs Appendix A: MESA input files MESAbinary needs at least three input files (hereafter ‘inlists’) to start the calculations.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Two of them provide all the necessary parameters to perform the evolution of each component sepa- rately24, and the last one describes the evolution of the orbit as well as other processes that depend on binarity25 (e.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='g.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' spin- orbit coupling).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' In the following appendix, we present example MESAstar and MESAbinary inlists, which we used to generate a set of the evolutionary tracks of the components of the binary system.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' However, we have intentionally omitted any controls re- lated to the names of the files or directories where the results should be stored.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' All values that changed in the inlists depending on the simulated binary system were enclosed in square brackets – [ · ].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The parameters adopted below resulted in a typical num- ber of about 2,400 zones in the radial direction of the star.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The number of models calculated per single EEV was typically of the order of several hundred, mainly depending on the termination condition.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' MESAstar inlist &star_job !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='OUTPUT history_columns_file = "my_history_columns.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='list" profile_columns_file = "my_profile_columns.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='list" show_log_description_at_start = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='false.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' save_photo_when_terminate=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='false.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='MODIFICATIONS TO MODEL new_rotation_flag=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' change_rotation_flag=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' new_omega_div_omega_crit=[Ω/Ωcrit] num_steps_to_relax_rotation=100 relax_omega_max_yrs_dt = 1d4 relax_omega_div_omega_crit=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' set_initial_cumulative_energy_error = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' new_cumulative_energy_error = 0d0 / !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' end of star_job namelist &eos / !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' end of eos namelist &kap use_Type2_opacities = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Zbase = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='02 / !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' end of kap namelist &controls !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='SPECIFICATIONS FOR STARTING MODEL initial_z=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='02d0 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='CONTROLS FOR OUTPUT terminal_interval=100 write_header_frequency=1 photo_interval=100000 history_interval=5 star_history_dbl_format = "(1pes40.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='6e3, 1x)" profile_interval=10 max_num_profile_models=5000 write_pulse_data_with_profile=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 24 Details of each keyword in MESAstar v.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' r15140 inlist can be found at https://docs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='mesastar.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='org/en/r15140/reference/ star_job.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='html and https://docs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='mesastar.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='org/en/r15140/ reference/controls.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='html 25 Details of each keyword in MESAbinary v.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' r15140 inlist can be found at https://docs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='mesastar.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='org/en/r15140/reference/ binary_job.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='html and https://docs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='mesastar.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='org/en/ r15140/reference/binary_controls.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='html pulse_data_format="GYRE" add_double_points_to_pulse_data=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='WHEN TO STOP max_model_number = 5000 xa_central_lower_limit_species(1)="h1" xa_central_lower_limit(1)=1d-4 omega_div_omega_crit_limit=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='75 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='MIXING PARAMETERS mixing_length_alpha=1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='82d0 use_Ledoux_criterion=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' num_cells_for_smooth_gradL_composition_term = 0 alpha_semiconvection=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01d0 okay_to_reduce_gradT_excess=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' mlt_make_surface_no_mixing = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' overshoot_scheme(1)="exponential" overshoot_zone_type(1) = "burn_H" overshoot_zone_loc(1) = "core" overshoot_bdy_loc(1) = "top" overshoot_f(1) = [fov] overshoot_f0(1) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='005 do_conv_premix=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' set_min_D_mix=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' min_D_mix=1d5 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ROTATION CONTROLS am_D_mix_factor=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0333333d0 D_DSI_factor = 1 D_SH_factor = 1 D_SSI_factor = 1 D_ES_factor = 1 D_GSF_factor = 1 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ATMOSPHERE BOUNDARY CONDITION atm_option="table" atm_table="photosphere" !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='MASS GAIN OR LOSS hot_wind_scheme="Vink" hot_wind_full_on_T=1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2d4 cool_wind_full_on_T=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='9d3 Vink_scaling_factor=1d0 no_wind_if_no_rotation=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' mdot_omega_power=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='43d0 max_mdot_jump_for_rotation=5d0 rotational_mdot_kh_fac = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0d3 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='MESH ADJUSTMENT max_delta_x_for_merge = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='01d0 max_dq=1d-3 min_dq=1d-16 min_dq_for_split=1d-16 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ASTEROSEISMOLOGY CONTROLS num_cells_for_smooth_brunt_B = 0 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='STRUCTURE EQUATIONS use_dedt_form_of_energy_eqn = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='TIMESTEP CONTROLS min_timestep_factor=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5d0 max_timestep_factor=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0d0 dH_div_H_limit=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5d0 delta_lgL_phot_limit = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='05d0 / !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' end of controls namelist A.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' MESAbinary inlist &binary_job !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='OUTPUT/INPUT FILES show_binary_log_description_at_start = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='false.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' binary_history_columns_file = Article number, page 22 of 24 Kołaczek-Szyma´nski & Ró˙za´nski: Tidally excited oscillations in massive and intermediate-mass EEVs "my_binary_history_columns.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='list" !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='STARTING MODEL evolve_both_stars=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' change_ignore_rlof_flag = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' new_ignore_rlof_flag = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' / !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' end of binary_job namelist &binary_controls !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='SPECIFICATIONS FOR STARTING MODEL m1=[M1] m2=[M2] initial_eccentricity=[e] initial_period_in_days=-1 initial_separation_in_Rsuns=[a] !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='CONTROLS FOR OUTPUT history_interval=5 photo_interval=100000 terminal_interval=100 write_header_frequency=1 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='TIMESTEP CONTROLS fa=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='02d0 fa_hard=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='03d0 fr=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='10d0 fj=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='001d0 fj_hard=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='005d0 fe=0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='02d0 fr_dt_limit = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0d2 fdm = 1d-3 fdm_hard = 5d-3 dt_softening_factor = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3d0 varcontrol_ms=5d-4 varcontrol_post_ms=5d-4 dt_reduction_factor_for_j=5d-2 !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='MASS TRANSFER CONTROLS do_enhance_wind_1=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' do_enhance_wind_2=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' tout_B_wind_1 = [Bwind] tout_B_wind_2 = [Bwind] !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ORBITAL JDOT CONTROLS do_jdot_gr=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' do_jdot_ls=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' do_jdot_ml=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' do_jdot_mb=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='false.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ROTATION AND SYNC CONTROLS do_tidal_sync=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' sync_type_1="Hut_rad" sync_type_2="Hut_rad" !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ECCENTRICITY CONTROLS do_tidal_circ=.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' circ_type_1="Hut_rad" circ_type_2="Hut_rad" anomaly_steps=300 / !' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' end of binary_controls namelist Appendix B: GYRE input file The GYRE stellar oscillations code requires a single input file that collects all the user-specified parameters of the asteroseismic calculations being performed26.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Below is our example file gyre.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='in.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' As in Appendix A, we have omitted any keywords related to specific file names and have highlighted variables by 26 Details of each keyword in GYRE v.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1 input file can be found at https://gyre.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='readthedocs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='io/en/v6.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1/ref-guide/ input-files.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='html enclosing them in square brackets.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' &constants / &model model_type = "EVOL" file_format = "MESA" / &mode l = 2 m = 0 n_pg_min = -30 n_pg_max = 30 tag = "m0" / &mode l = 2 m = 2 n_pg_min = -30 n_pg_max = 30 tag = "m2" / &osc inner_bound = "REGULAR" outer_bound = "VACUUM" adiabatic = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.’ nonadiabatic = .' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='true.’' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&rot ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='coriolis_method = "TAR" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='Omega_rot_source = "MODEL" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&num ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='ad_search = "BRACKET" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='nad_search = "AD" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='diff_scheme = "MAGNUS_GL2" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&scan ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='grid_type = "LINEAR" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_min = [ f m=0 ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='min ] ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_max = [ f m=0 ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='max ] ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='n_freq = [Nm=0 ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq ] ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_units = "CYC_PER_DAY" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='grid_frame = "INERTIAL" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_frame = "INERTIAL" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='tag_list = "m0" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&scan ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='grid_type = "LINEAR" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_min = [ f m=+2 ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='min ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='] ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_max = [ f m=+2 ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='max ] ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='n_freq = [Nm=+2 ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq ] ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_units = "CYC_PER_DAY" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='grid_frame = "COROT_I" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='freq_frame = "COROT_I" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='tag_list = "m2" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&grid ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&ad_output ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='/ ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='&nad_output ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='summary_file_format = "TXT" ' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='Article number,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' page 23 of 24 A&A proofs: manuscript no.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' TEOs_in_massive_EEVs summary_item_list = "freq,l,m,n_p,n_g,n_pg" freq_units = "CYC_PER_DAY" freq_frame = "INERTIAL" The frequency scan limits, f m=0 min , f m=0 max , f m=+2 min , and f m=+2 max , were calculated as described in Sect.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The total numbers of discrete frequency points, Nm=0 freq , and Nm=+2 freq , were obtained as follows, Nm=0,+2 freq = ⌈( f m=0,+2 max − f m=0,+2 min )/(0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='005 d−1)⌉, (B.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1) where ⌈ · ⌉ denotes the ceiling function.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Appendix C: Data used by MESA Our work uses the MESA stellar evolution code, which incorpo- rates a vast compilation of knowledge, mainly from micro- and macrophysics, collected by many authors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The MESAeos mod- ule is a mixture of OPAL (Rogers & Nayfonov 2002), SCVH (Saumon et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1995), FreeEOS (Irwin 2004), HELM (Timmes & Swesty 2000), PC (Potekhin & Chabrier 2010) and Skye (Jermyn et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2021) equation of states.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Radiative opacities are taken primarily from OPAL (Iglesias & Rogers 1993, 1996), with low-temperature data from Ferguson et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2005) and the high-temperature, Compton-scattering dominated regime by Poutanen (2017).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Electron conduction opacities are from Cas- sisi et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2007) and Blouin et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2020).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Nuclear reaction rates are from JINA REACLIB (Cyburt et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 2010), NACRE (An- gulo et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' 1999) and additional tabulated weak reaction rates from Fuller et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1985), Oda et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1994) and Langanke & Martínez-Pinedo (2000).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Screening is included via the prescrip- tion of Chugunov et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (2007).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Thermal neutrino loss rates are taken from Itoh et al.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' (1996).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Roche lobe radii in binary systems are computed using the fit of Eggleton (1983).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Appendix D: Adjustable parameters of the UMAP UMAP, as a highly flexible method, is prone to returning mis- leading results in the case of inappropriately set free parame- ters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' On the one hand, they can lead to the appearance of spuri- ous groups and, on the other hand, to the loss of finer topologi- cal structure.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The vital UMAP parameters that need adjustment are n_neighbors, min_dist, n_components and metric.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' The n_neighbors parameter is the most important, as it controls the balance between the local and global structure present in the data that will be mapped to the embedding.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We experi- mented with different values of this parameter ranging from 5 to 1,000 (the default is 15) and concluded that the resonance curves (summarised by the proposed statistics) always form a single group, almost independently of the choice of n_neighbors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Later, min_dist sets the minimum distance between two dif- ferent points on the embedding.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We tested its values from 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='0 to 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='5 and do not observe any significant effect on manifold.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' We took the last two parameters, namely n_components that spec- ifies the number of dimensions of the embedding, and metric specifying the metric used for similarity calculation, as default values.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Finally, we used the following set of free parameters: n_neighbors = 500, min_dist = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content='1, n_components = 2 and metric = ’euclidean’.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'} +page_content=' Article number, page 24 of 24' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/1NAyT4oBgHgl3EQf1PnY/content/2301.00733v1.pdf'}