Statistical calculation of the viscous properties of nematic liquid crystals by means of the kinetic equation for the tensor order parameter

Abstract

We carried out statistical calculation, of the viscosity coefficients of nematic liquid crystals. As the starting point of calculation, we used the expression for the tensor of viscous stresses obtained within the framework of the relaxational hydrodynamics of investigated media constructed on the basis of Zubarev's method of nonequilibrium statistical ensembles. The relaxational equation for the tensor order parameter was used to calculate the time correlation functions that determine kinetic coefficients. The results of theoretical calculations were compared with experimental data on the temperature dependence for a number of nematogens.