Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation

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.

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 Poincaré Institute, Paris, February 9-11, 2011

References in corpus (2)

• The large deviation approach to statistical mechanics
• Fluctuation theorem for entropy production during effusion of an ideal gas with momentum transfer

Cited by in corpus (4)

• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• Is the Boltzmann equation reversible? A large deviation perspective on the irreversibility paradox
• Stochastic thermodynamics for kinetic equations
• Random paths and current fluctuations in nonequilibrium statistical mechanics