TRANSPORT PROCESSES IN A MULTI-COMPONENT ASSEMBLY ON THE BASIS OF GENERALIZED BGK COLLISION MODEL.

Abstract

Bhatnagar, Gross and Krook developed a collision model for one component neutral assembly of particles in order to overcome the inherent difficulties of the Boltzmann collision integral. This has been generalized to an N-component assembly of charged and neutral particles by Bhatnagar and Devanathan. However,the transport equations obtained directly from these kinetic equations are far from simple. In this paper, simpler and elegant transport  equations have been obtained by expanding the distribution functions in generalized Hermite Polynomials following Grad. From these generalized coefficients of direct electrical conductivity, diffusivity, viscosity, and heat conductivity are obtained in the presence or magnetic field. Also the relaxation times have been calculated. These naturally lead to a mechanism of the occurrence of Gross-gaps.