Abstract

A general kinetic equation is derived for the probability distribution function of critical fluctuations in a nematic liquid crystal below a clearing point using Kawasaki's formulation of the mode·mode coupling theory. Two kinds of variables, i.e., local momentum density and transverse components of the local director are chosen as gross variables. Discussion of the dynamic scaling reveals predominance of orientational relaxation processes in dynamic behavior of critical nematics. A simplified version of the kinetic equation determines timecorrelation functions of fluctuations which relate the shear viscosity to the decay rate of director fluctuations to indicate an apparent logarithmic divergence of the critical part of the shear viscosity.

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