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

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Volume
392
Issue
4
Identifiers
DOI: 10.1016/j.physa.2012.10.006
Keywords
  • Dilute Gas
  • Rarefied Gas
  • Nonequilibrium Steady State
  • Affinity
  • Stochastic Process
  • Master Equation

Abstract

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 one-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.

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