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we study the phase behavior of a nematic liquid crystal confined between a flat substrate with strong anchoring and a patterned substrate whose structure and local anchoring strength we vary . by first evaluating an effective surface free energy function characterizing the patterned substrate we derive an expression for the effective free energy of the confined nematic liquid crystal .
then we determine phase diagrams involving a homogeneous state in which the nematic director is almost uniform and a hybrid aligned nematic state in which the orientation of the director varies through the cell .
direct minimization of the free energy functional were performed in order to test the predictions of the effective free energy method .
we find remarkably good agreement between the phase boundaries calculated from the two approaches .
in addition the effective energy method allows one to determine the energy barriers between two states in a bistable nematic device . | [
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] |
determining the scaling relations between galaxy cluster observables requires large samples of uniformly observed clusters .
we measure the mean x - ray luminosity optical richness ( @xmath0@xmath1 ) relation for an approximately volume - limited sample of more than 17,000 optically - selected clusters from the maxbcg catalog spanning the redshift range @xmath2 . by stacking the x - ray emission from many clusters using _ rosat _ all - sky survey data ,
we are able to measure mean x - ray luminosities to @xmath310% ( including systematic errors ) for clusters in nine independent optical richness bins . in addition
, we are able to crudely measure individual x - ray emission from @xmath4 of the richest clusters . assuming a log - normal form for the scatter in the @xmath5@xmath6 relation , we measure @xmath7 at fixed @xmath6 .
this scatter is large enough to significantly bias the mean stacked relation .
the corrected median relation can be parameterized by @xmath8 , where @xmath9 and @xmath10 .
we find that x - ray selected clusters are significantly brighter than optically - selected clusters at a given optical richness .
this selection bias explains the apparently x - ray underluminous nature of optically - selected cluster catalogs . | [
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] |
we show how to control spatial quantum correlations in a multimode degenerate optical parametric oscillator type i below threshold by introducing a spatially inhomogeneous medium , such as a photonic crystal , in the plane perpendicular to light propagation .
we obtain the analytical expressions for all the correlations in terms of the relevant parameters of the problem and study the number of photons , entanglement , squeezing , and twin beams . considering different regimes and configurations we show the possibility to tune the instability thresholds as well as the quantumness of correlations by breaking the translational invariance of the system through a photonic crystal modulation . | [
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] |
class i methanol masers are believed to be produced in the shock - excited environment around star - forming regions .
many authors have argued that the appearance of various subsets of class i masers may be indicative of specific evolutionary stages of star formation or excitation conditions . until recently , however , no major interferometer was capable of imaging the important 36 ghz transition .
we report on expanded very large array observations of the 36 ghz methanol masers and submillimeter array observations of the 229 ghz methanol masers in dr21(oh ) , dr21n , and dr21w .
the distribution of 36 ghz masers in the outflow of dr21(oh ) is similar to that of the other class i methanol transitions , with numerous multitransition spatial overlaps .
at the site of the main continuum source in dr21(oh ) , class i masers at 36 and 229 ghz are found in virtual overlap with class ii 6.7 ghz masers . to the south of the outflow
, the 36 ghz masers are scattered over a large region but usually do not appear coincident with 44 ghz masers .
in dr21w we detect an `` s - curve '' signature in stokes v that implies a large value of the magnetic field strength if interpreted as due to zeeman splitting , suggesting either that class i masers may exist at higher densities than previously believed or that the direct zeeman interpretation of s - curve stokes v profiles in class i masers may be incorrect .
we find a diverse variety of different maser phenomena in these sources , suggestive of differing physical conditions among them . | [
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] |
nowadays , scientific challenges usually require approaches that cross traditional boundaries between academic disciplines , driving many researchers towards interdisciplinarity . despite its obvious importance , there is a lack of studies on how to quantify the influence of interdisciplinarity on the research impact , posing uncertainty in a proper evaluation for hiring and funding purposes . here
we propose a method based on the analysis of bipartite interconnected multilayer networks of citations and disciplines , to assess scholars , institutions and countries interdisciplinary importance .
using data about physics publications and us patents , we show that our method allows to reward , using a quantitative approach , scholars and institutions that have carried out interdisciplinary work and have had an impact in different scientific areas .
the proposed method could be used by funding agencies , universities and scientific policy decision makers for hiring and funding purposes , and to complement existing methods to rank universities and countries . | [
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"we present a theoretical study of the infrared magneto - optical properties of ferromagnetic ( iii (...TRUNCATED) | [0.011064590886235237,0.02249540388584137,-0.003742737229913473,0.01819746010005474,-0.0062874872237(...TRUNCATED) | [0.061911750584840775,0.08350469917058945,0.4866255223751068,0.11857976019382477,-0.2953909635543823(...TRUNCATED) |
"two questions that naturally arise in @xmath0-body simulations of stellar systems are : 1 \n . (...TRUNCATED) | [0.008440189994871616,0.01882088929414749,-0.00804883148521185,0.00862131081521511,-0.02229521237313(...TRUNCATED) | [-0.08284187316894531,-0.12794531881809235,0.5478602647781372,0.2445220947265625,-0.2649001777172088(...TRUNCATED) |
"we study a holomorphic representation for spinfoams . the representation is obtained via the ashtek(...TRUNCATED) | [-0.007404786068946123,0.010324766859412193,-0.011974201537668705,0.009148303419351578,-0.0314472764(...TRUNCATED) | [-0.2222890555858612,-0.37013959884643555,0.4460309147834778,0.08773896843194962,-0.2897410094738006(...TRUNCATED) |
"in this paper , we study a two - lane totally asymmetric simple exclusion process ( tasep ) coupled(...TRUNCATED) | [-0.00201457180082798,0.011876164004206657,-0.000658598612062633,0.007470004726201296,-0.00976699031(...TRUNCATED) | [0.049373775720596313,-0.3449191749095917,0.14943251013755798,0.1089215874671936,-0.1597957164049148(...TRUNCATED) |
"we consider evaluation of matrix elements with the coupled - cluster method . \n such calculations (...TRUNCATED) | [-0.00839883740991354,0.001120682107284665,-0.00657652597874403,0.0201385710388422,-0.00471961963921(...TRUNCATED) | [-0.04427097737789154,-0.24659374356269836,-0.06861326843500137,-0.21218471229076385,-0.102725028991(...TRUNCATED) |
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