Order parameter dependence of the viscosity coefficients of a biaxial nematic liquid crystal

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Abstract

We derive expressions for the order parameter dependence of the viscosity coefficients of a biaxial nematic liquid crystal by comparing its dissipation function expressed in terms of directors with that expressed in terms of order tensors. The results enable us to identify the dominant flow viscosity coefficients and to compare their temperature variation according to their dependence on the dominant scalar order parameters. By considering different orientations of an external field, we identify three characteristic switching times corresponding to three rotational viscosities, and we estimate the ratio of the switching times of the primary and the secondary directors.

Original languageEnglish
Article number109
Number of pages8
JournalEuropean Physical Journal E
Volume34
Issue number10
Early online date11 Oct 2011
DOIs
Publication statusPublished - 2011

Keywords

  • liquid crystal
  • order parameter dependence
  • viscosity coefficients

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