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Numerical Modeling of the Static Electric Field Effect on the Director of the Nematic Liquid Crystal Director

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Abstract

A two-dimensional model of the Frederiks effect is used to investigate the static electric field effect on the orientation of the nematic liquid crystal (LC) director in a side-electrode cell. The solutions are obtained by the standard finite-difference methods. The programs for the numerical solution of a two-dimensional parabolic partial differential equation are developed both in FORTRAN and C/C++. The Frederiks transition threshold for the central part of the cell and the dependences of the director’s orientation distribution on a high electric field are obtained. The results of the calculation are compared with the experimental data.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    A. S. Ayriyan & E. A. Ayrjan

  2. Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russia

    E. A. Ayrjan

  3. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow, 117942, Russia

    A. A. Egorov, I. A. Maslyanitsyn & V. D. Shigorin

Authors
  1. A. S. Ayriyan
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  2. E. A. Ayrjan
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  3. A. A. Egorov
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  4. I. A. Maslyanitsyn
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  5. V. D. Shigorin
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Correspondence to A. S. Ayriyan.

Additional information

Original Russian Text © A.S. Ayriyan, E.A. Ayrjan, A.A. Egorov, I.A. Maslyanitsyn, V.D. Shigorin, 2018, published in Matematicheskoe Modelirovanie, 2018, Vol. 30, No. 4, pp. 97–107.

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Ayriyan, A.S., Ayrjan, E.A., Egorov, A.A. et al. Numerical Modeling of the Static Electric Field Effect on the Director of the Nematic Liquid Crystal Director. Math Models Comput Simul 10, 714–720 (2018). https://doi.org/10.1134/S2070048218060029

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  • DOI: https://doi.org/10.1134/S2070048218060029

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