Fluctuation theorem for entropy production during effusion of an ideal gas with momentum transfer

Abstract

We derive an exact expression for entropy production during effusion of an ideal gas driven by momentum transfer in addition to energy and particle flux. Following the treatment in Phys. Rev. E Vol. 74, 021117 (2006), we construct a master equation formulation of the process and explicitly verify the thermodynamic fluctuation theorem, thereby directly exhibiting its extended applicability to particle flows and hence to hydrodynamic systems.

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• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
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• Stochastic thermodynamics for kinetic equations
• Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
• Nonlinear transport effects in mass separation by effusion