An Analysis of Equilibria in Dense Nematic Liquid Crystals
نویسندگان
چکیده
منابع مشابه
Nematic Liquid Crystals: Defects
There are two types of defects in the uniaxial nematic F phase: line defects (disclinations) and point defects (hedgehogs and boojums). These are reviewed at three levels: (i) experimental observations; (ii) topological classification; and (iii) curvature elasticity. The reader is referred to the textbooks on liquid crystals (Chandrasekhar 1992, de Gennes and Prost 1993), defects (Kltman 1983),...
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Defects in liquid crystals are discontinuities in order parameter. In nematic liquid crystals (NLC) two types of stable defects exist: disclination lines and point defects. Defects formation depends on isotropic to nematic phase transition while their stability depends strongly on confining surface properties, surface geometry and presence of external field. Classical Frank’s model of director ...
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In this work, we revisit the important problem of disclinations for nematic liquid-crystals in the variational theory of Oseen-Zöcher-Frank. Using the framework of dynamical system theory, the Frank’s energy functional among a class of special director fields for both the elastically isotropic and anisotropic cases are examined. The existence result on the critical points of the energy function...
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Résumé. — L'objet du présent article consiste en un réexamen du résultat suivant récemment obtenu par Forster : dans le cas des cristaux liquides nématiques, il n'est pas possible de déterminer de manière complète, à partir de la matrice hydrodynamique, les amplitudes liées à tous les modes diffusifs. Nous montrons qu'à partir des lois de symétrie d'inversion spatiale et d'inversion de temps, c...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2018
ISSN: 0036-1410,1095-7154
DOI: 10.1137/17m1129805