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.

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

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Liquid Crystals
Nematic liquid crystals
Viscosity
liquid crystals
viscosity
coefficients
Tensors
dissipation
tensors
scalars
Temperature
estimates
temperature

Keywords

  • liquid crystal
  • order parameter dependence
  • viscosity coefficients

Cite this

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title = "Order parameter dependence of the viscosity coefficients of a biaxial nematic liquid crystal",
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.",
keywords = "liquid crystal , order parameter dependence , viscosity coefficients",
author = "Mikhail Osipov and Andre Sonnet",
year = "2011",
doi = "10.1140/epje/i2011-11109-5",
language = "English",
volume = "34",
journal = "European Physical Journal E - Soft Matter",
issn = "1292-8941",
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T1 - Order parameter dependence of the viscosity coefficients of a biaxial nematic liquid crystal

AU - Osipov, Mikhail

AU - Sonnet, Andre

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - liquid crystal

KW - order parameter dependence

KW - viscosity coefficients

U2 - 10.1140/epje/i2011-11109-5

DO - 10.1140/epje/i2011-11109-5

M3 - Article

VL - 34

JO - European Physical Journal E - Soft Matter

T2 - European Physical Journal E - Soft Matter

JF - European Physical Journal E - Soft Matter

SN - 1292-8941

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