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Elastic anisotropy effects on the electrical responses of a thin sample of nematic liquid crystal

O. A. Gomes1, C. A. R. Yednak2, R. R. Ribeiro de Almeida3, R. T. Teixeira-Souza3,*, and L. R. Evangelista4

  • 1Departamento de Engenharia Elétrica, Universidade Tecnológica Federal do Paraná, Via do Conhecimento Km 1, 85503-390, Câmpus Pato Branco, Paraná, Brazil
  • 2Departamento de Física, Universidade Tecnológica Federal do Paraná, Via do Conhecimento Km 1, 85503-390, Câmpus Pato Branco, Paraná, Brazil
  • 3Departamento de Física, Universidade Tecnológica Federal do Paraná, R. Marcílio Dias, 635, 86812-460, Câmpus Apucarana, Paraná, Brazil
  • 4Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790-87020-900, Maringá (PR), Brazil

  • *rodolfosouza@utfpr.edu.br

Phys. Rev. E 95, 032704 – Published 21 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032704

Abstract

The electrical responses of a nematic liquid crystal cell are investigated by means of the elastic continuum theory. The nematic medium is considered as a parallel circuit of a resistance and a capacitance and the electric current profile across the sample is determined as a function of the elastic constants. In the reorientation process of the nematic director, the resistance and capacitance of the sample are determined by taking into account the elastic anisotropy. A nonmonotonic profile for the current is observed in which a minimum value of the current may be used to estimate the elastic constants values. This scenario suggests a theoretical method to determine the values of the bulk elastic constants in a single planar aligned cell just by changing the direction of applied electrical field and measuring the resulting electrical current.

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