Formation of steady - state nonequilibrium distribtions of the coulomb interacting - particles

Abstract

The collisional particle dynamics in such a system is investigated using a spatially homogeneous nonlinear collision integral in the Landau–Fokker–Planck form, which is a model Boltzmann colision integral for arbitrary potentials of interaction accompanied by little momentum transfer between particles in collisions It is shown that the principal condition for the existence of steady-state nonequilibrium distributions is the presence of a particle or an energy flux oriented in the proper manner in momentum space. A steady-state local distribution exists in side the momentum interval between the energy source and sink and has the form of a gradually decreasing function. The results obtained can be used to predict the behavior of semiconductors with an intrinsic or extrinsic conductivity under the action of particle fluxes.