School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda, Hyogo, Japan.
Phys Rev E. 2017 Jan;95(1-1):012128. doi: 10.1103/PhysRevE.95.012128. Epub 2017 Jan 18.
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.
在多粒子系统中，讨论了与粒子储库相互作用的随机边界条件。我们通过粒子储库的压力和温度来引入具有注入速率和粒子动量分布的边界条件。结果表明，基于相应的巨正则分布，这些边界条件可以再现平衡理想气体和具有硬磁盘系统的统计力学性质。我们还将随机边界条件应用于一个带有稳态粒子流从开放管中的粒子储库逸出的硬磁盘模型，并讨论了其非平衡性质，例如电流对化学势的依赖性以及对局部平衡假设的偏离。
