| An affine transformation model is used to calculate the macroscopic stress tensor for uniaxial liquid crystals. In the special case of constant degrees of alignment, it is shown to be of the form occurring in the Ericksen-Leslie director theory for nematic liquid crystals, resolving an apparent discrepancy on the form of the stress tensor. The corresponding Leslie and Miesowicz viscosities are calculated in terms of the alignment order parameters and those of the affine model. These results improve the approximate calculations of Ehrentraut and Hess [Phys. Rev. E 51, 2203 (1995)] based on a hindered rotation assumption. It is further shown that the calculated orientation-dependence of the viscosities based on the affine model is the same as that resulting from calculations based on an alternative Fokker-Planck equation for the one particle orientational distribution function.
for LaTeX users @article{MKroger1997-300,
author = {M. Kr\"oger and H. S. Sellers},
title = {Viscosities of Nematic and Discotic Nematic Liquid Crystals according to the Affine Transformation Model},
journal = {Mol. Cryst. Liq. Cryst.},
volume = {300},
pages = {245-262},
year = {1997}
}
\bibitem{MKroger1997-300} M. Kr\"oger, H.S. Sellers,
Viscosities of Nematic and Discotic Nematic Liquid Crystals according to the Affine Transformation Model,
Mol. Cryst. Liq. Cryst. {\bf 300} (1997) 245-262.MKroger1997-300
M. Kr\"oger, H.S. Sellers
Viscosities of Nematic and Discotic Nematic Liquid Crystals according to the Affine Transformation Model
Mol. Cryst. Liq. Cryst.,300,1997,245-262 |
mk@mat.ethz.ch
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