Order parameter dependence of the viscosity coefficients of a biaxial nematic liquid crystal |
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Authors: | M A Osipov A M Sonnet |
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Institution: | Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, Scotland, UK. |
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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. |
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