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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2017, 17 (3), 59—62. DOI: 10.18083/LCAppl.2017.3.59
About Orientation Vector Field Distribution in Nematic Liquid Crystal Droplet
P. A. Dorofeeva, A. G. Kalugin
Author affiliations Faculty of Mechanics and Mathematics, Lomonosov Moscow State University,
1 Leninskiye Gory, Moscow, 119991, Russia E-mail: email@example.com
Abstract The problem of the distribution of director field in a spherical droplet of a nematic liquid crystal enclosed an isotropic media is considered. We take into account the Frank energy with splay-bend term and weak anchoring conditions at the boundary of the nematic droplet. Equilibrium equations for the director field linearized with respect to the homogeneous state are studied. Solutions for small deviations are received. It is shown that the solutions can both in value and quality differ from similar ones in case when splay-bend term is omitted and it is possible to use this for splay-bend constant retrieving.