Contribution of One-Time Pair Correlation Function to Kinetic Phenomena in Nonequilibrium Gas

TL;DR

This paper demonstrates that one-time pair correlations significantly influence the kinetic properties of nonequilibrium gases, affecting collision integrals and energy loss rates, and introduces a stochastic kinetic framework for their analysis.

Contribution

It reveals the role of non-diagonal pair correlations in nonequilibrium gas kinetics and derives their impact on collision integrals and energy loss rates using a stochastic kinetic approach.

Findings

Non-diagonal pair correlations contribute to collision integrals.

Derived explicit expression for electron energy loss rate P.

Applicable conditions where two-particle correlations are essential.

Abstract

It has been established in nineteen seventies that in nonequilibrium case the pair collisions generate non-zero two-particle correlations which are non-diagonal in momentum space and give the essential contribution to the current fluctuations of hot electrons. It is shown here that this correlations give also a contribution to the collision integral, i.e., to kinetic properties of nonequilibrium gas. The expression for electron energy loss rate P via phonons is re-derived in detail from this point of view. The contribution of the non-diagonal part of the nonequilibrium pair correlator to phonon-electron collision integral and to P is obtained and explicitly calculated in the electron temperature approximation. It is shown that these results can be obtained from stochastic non-linear kinetic equation with Langevin fluctuation force. Such an approach allows to formulate the simple general conditions under that a contribution of two-particle correlations might be essential in kinetics. The contribution obtained does not contain the extra powers of small gas parameter unlike the equilibrium virial decompositions.