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Liquid Crystals and their Application
Russian Journal

Zhidkie kristally i ikh prakticheskoe ispol'zovanie

Жидкие кристаллы и их практическое использование

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Rus Eng


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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

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.

Keywords: nematic liquid crystal droplet, surface elastic constant, splay-bend constant, boundary conditions

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