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arXiv · 1609.01127

Stochastic boundary approaches to many-particle systems coupled to a particle reservoir

Tooru Taniguchi·Shin-ichi Sawada
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Abstract

Stochastic boundary conditions for interactions with a particle reservoir are discussed in many-particle systems. We introduce the boundary conditions with the injection rate and the momentum distribution of particles coming from a particle reservoir in terms of the pressure and the temperature of the reservoir. It is shown that equilibrium ideal gases and hard-disk systems with these boundary conditions reproduce statistical-mechanical properties based on the corresponding grand canonical distributions. We also apply the stochastic boundary conditions to a hard-disk model with a steady particle current escaping from a particle reservoir in an open tube, and discuss its nonequilibrium properties such as a chemical potential dependence of the current and deviations from the local equilibrium hypothesis.

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Tooru Taniguchi, Shin-ichi Sawada. 2016-09-05. Stochastic boundary approaches to many-particle systems coupled to a particle reservoir. https://doi.org/10.1103/physreve.95.012128

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