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Matematicheskoe modelirovanie, 2018, Volume 30, Number 4, Pages 97–107 (Mi mm3960)  
This article is cited in 5 scientific papers (total in 5 papers)

Numeric modeling of static electric field effect on nematic liquid crystal director orientation

A. S. Ayriyana, E. A. Ayrjanba, A. A. Egorovc, I. A. Maslyanitsync, V. D. Shigorinc

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Peoples' Friendship University of Russia (RUDN University), Moscow, Russia
c Prokhorov General Physics Institute, RAS, Moscow, Russia
Full-text PDF (508 kB) Citations (5)
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Abstract: Two-dimensional model of Frederiks effect has been used for the investigation of the static electric field effect on nematic liquid crystal director orientation in the side–electrode cell. The solutions have been obtained by the standard finite–difference methods. The programmes for numerical solution of two-dimensional parabolic partial differential equation have been developed both in FORTRAN and C/C++. Frederiks transition threshold for the central part of the cell, as well as dependencies of the distribution of the director orientation on the high electric field have been obtained. The results of the calculation have been compared to the experiment.
Keywords: nematic liquid crystal, two-dimensional model of the Fredericks effect, director, electric field, numerical solution, finite-difference methods.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.a03.21.0008
Joint Institute for Nuclear Research 17-602-01
Received: 22.06.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 6, Pages 714–720
DOI: https://doi.org/10.1134/S2070048218060029
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Ayriyan, E. A. Ayrjan, A. A. Egorov, I. A. Maslyanitsyn, V. D. Shigorin, “Numeric modeling of static electric field effect on nematic liquid crystal director orientation”, Matem. Mod., 30:4 (2018), 97–107; Math. Models Comput. Simul., 10:6 (2018), 714–720
Citation in format AMSBIB
\Bibitem{AyrHayEgo18}
\by A.~S.~Ayriyan, E.~A.~Ayrjan, A.~A.~Egorov, I.~A.~Maslyanitsyn, V.~D.~Shigorin
\paper Numeric modeling of static electric field effect on nematic liquid crystal director orientation
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 4
\pages 97--107
\mathnet{http://mi.mathnet.ru/mm3960}
\elib{https://elibrary.ru/item.asp?id=32782202}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 6
\pages 714--720
\crossref{https://doi.org/10.1134/S2070048218060029}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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