Contribution of One-Time Pair Correlation Function to Kinetic Phenomena in Nonequilibrium Gas
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.
Keywords
Cite
@article{arxiv.cond-mat/0212595,
title = {Contribution of One-Time Pair Correlation Function to Kinetic Phenomena in Nonequilibrium Gas},
author = {A. Ya. Shul'man},
journal= {arXiv preprint arXiv:cond-mat/0212595},
year = {2017}
}
Comments
6 pages, based on the report presented at the conference ``Progress in Nonequilibrium Green's Functions'', Dresden, Germany, 19.-22. August 2002