RUS  ENG
Full version
JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2025 Volume 17, Issue 2, Pages 69–81 (Mi vyurm640)

This article is cited in 1 paper

Physics

Contribution of impurity ions to spatial-temporal distribution of local electric field in nematic liquid crystal cell

A. M. Gavrilyaka, M. V. Gavrilyakab, V. A. Boroninab, F. V. Podgornova

a South Ural State University, Chelyabinsk, Russian Federation
b Institute of Electrophysics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russian Federation

Abstract: The influence of impurity ions on the spatiotemporal distribution of the local electric field in a planar nematic liquid crystal (NLC) cell with blocking electrodes has been investigated. Numerical simulation of the switching dynamics of the NLC director has been performed using the Poisson–Nernst–Planck and nonlinear Ericksen–Leslie equations at the driving electrical voltage exceeding the Fredericksz threshold. The authors take into account the influence of the effective permittivity associated with the reorientation of the NLC director on the dynamics of electrodiffusion of impurity ions. Spectral analysis of the local electric field reveals the presence of higher harmonics caused by the spatial inhomogeneity of ionic impurity distribution. It has been proven that the presence of these harmonics in the spectral composition of the local electric field leads to a nonlinearity of the NLC director switching dynamics.

Keywords: Nematic liquid crystals, impurity ions, blocking electrodes, nonlinear distortions, effective permittivity, local electric field.

UDC: 544.252.22, 538.956

Received: 14.02.2025

DOI: 10.14529/mmph250208



© Steklov Math. Inst. of RAS, 2026