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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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Journal



Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2017, 17 (2), 78—85.
DOI: 10.18083/LCAppl.2017.2.78





To the Problem of Chevron Type Macroinhomogenities Appeared in Ferroelectric Liquid Crystals



D. N. Migranova1, R. N. Ismagilova2,3, N. G. Migranov4, D. V. Kondratyev5,6

Author affiliations
1Eastern Economics and Law Humanities Academy,
3 Mubarjakova St., Ufa, 450092, Russia
2LLC "BashNIPIneft",
86/1 Lenin St., Ufa, 450006, Russia
3Bashkir State Pedagogical University,
3a October revolution St., Ufa, 450000, Russia
4Institute of Mechanics Ufa Research Centre RAS,
71 October Av., Ufa, 450008, Russia
5Academy of Sciences of Republic Bashkortostan,
15 Kirov St., Ufa, 450008, Russia
6Bashkir Cooperative Institute (branch) of the Russian Cooperative University,
26 Lenin St., Ufa, 450000, Russia
E-mail: denis.kondratyev@bk.ru

Abstract
A system of nonlinear differential equations describing surface stabilized ferroelectric liquid crystal SmC* in the chevron’s geometry in the framework of continual model is considered. The purpose of this work is obtaining of new solutions describing the appearance of chevrons. It is shown that the solution expressed through the elliptic functions allows to explain the appearance and structure of chevrons. The energy of the ferroelectric liquid crystal is estimated using the solution expressed in terms of the elliptical sine.

Keywords: mathematical modeling, ferroelectric liquid crystal, smectic layer, chevron





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