TRANSPORT PROCESSES IN A MULTICOMPONENT ASSEMBLY II: FOKKER-PLANCK FORMALISM.

Abstract

It has been pointed out by Landau, Spitzer et at and others that when the charged particles of multicomponent assembly interact according to comparatively long range Coulomb forces, small random deflections of the particles are very effective in the evolution of the distribution function. Such small random deviations are incorporated into the kinetic equation-by using Fokker-Planck formalism.As has been done earlier in paper I (Devanathan, Uberoi and Bhatnagar, 3. Indian Inst. Sci., 47, 106, 1965), the distribution functions are expanded in term of the Generalized Hermite Polynomials and following Grad, consistent set of transport equations deduced. It is found that the Fokker-Planck term enhances the relaxation times of all the physical variables and thereby decreases the electrical conductivity. Apart from the anisotropy due to the magnetic field among the stresses, F-P terms introduce an additional bulk viscosity term. Further they introduce intense anisotropy among beat-flux tensors. Modified expressions for viscosity, heat conductivity and the electrical conductivity have been deduced.