| A Fokker-Planck equation for the orientation distribution function is used to calculate the viscosity coefficients of the flow-induced biaxial phase. The results correspond to a special case of proposed phenomenological expressions for biaxial liquid crystals, but with a reduced number of coefficients, apparently due to assumptions on the symmetry of particles. In contrast to a previous calculation, our results satisfy the Onsager relations for the viscosities of biaxial fluids. Sample numerical values indicate that the contribution of flow induced biaxiality can be significant in the shear viscosities, produce sign changes in the viscosity differences, and thus be important for the interpretation of shear flow data.
for LaTeX users @article{MKroger1997-56,
author = {M. Kr\"oger and H. S. Sellers},
title = {Fokker-Planck calculations of the viscosities of biaxial fluids},
journal = {Phys. Rev. E},
volume = {56},
pages = {1804-1807},
year = {1997}
}
\bibitem{MKroger1997-56} M. Kr\"oger, H.S. Sellers,
Fokker-Planck calculations of the viscosities of biaxial fluids,
Phys. Rev. E {\bf 56} (1997) 1804-1807.MKroger1997-56
M. Kr\"oger, H.S. Sellers
Fokker-Planck calculations of the viscosities of biaxial fluids
Phys. Rev. E,56,1997,1804-1807 |
mk@mat.ethz.ch
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