Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
Statistical Mechanics
2015-06-05 v1
Abstract
A time-reversal symmetry relation is established for out-of-equilibrium dilute or rarefied gases described by the fluctuating Boltzmann equation. The relation is obtained from the associated coarse-grained master equation ruling the random numbers of particles in cells of given position and velocity in the single-particle phase space. The symmetry relation concerns the fluctuating particle and energy currents of the gas flowing between reservoirs or thermalizing surfaces at given particle densities or temperatures.
Keywords
Cite
@article{arxiv.1206.0639,
title = {Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation},
author = {Pierre Gaspard},
journal= {arXiv preprint arXiv:1206.0639},
year = {2015}
}
Comments
The result of this paper has been presented at the conference "Boltzmann equation: mathematics, modeling and simulations" in memory of Carlo Cercignani at the Henri Poincar\'e Institute, Paris, February 9-11, 2011