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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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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2020, 20 (3), 34—40.
DOI: 10.18083/LCAppl.2020.3.34 |
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Application of Catastrophe Theory to Instabilities Description of Ferroelectric Liquid Crystals in Magnetic Field
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D. V. Kondratyev1,2, N. G. Migranov3, D. N. Migranova4
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Author affiliations
1Academy of Sciences of Republic Bashkortostan,
15 Kirova St., Ufa, 450008, Russia
E-mail: denis.kondratyev@bk.ru
2Bashkir Cooperative Institute (branch) of the Russian Cooperative University,
26 Lenina St., Ufa, 450000, Russia
3Bashkir State Medical University,
3 Lenina St., Ufa, 450008, Russia
4Eastern Economics and Law Humanities Academy,
3 Mubarjakova Str., Ufa, 450092, Russia
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Abstract
A new theoretical approach for description of the equilibrium and bistable states of ferroelectric liquid crystal is proposed. A ferroelectric liquid crystal sample is considered in the "bookshelf" geometry under the influence of a magnetic field. Continuum and perturbation theories are used in order to establish the correlation between scale coefficients in the azimuthal angle expansion. The equilibrium states of ferroelectric SmC* are determined within the framework of the catastrophe theory
Keywords: ferroelectric liquid crystal, smectic layers, instability, critical fields
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