由涨落玻尔兹曼方程支配的非平衡流的时间反演对称关系
统计力学
2015-06-05 v1
摘要
针对由涨落玻尔兹曼方程描述的远离平衡的稀薄或稀疏气体,建立了一个时间反演对称关系。该关系从相应的粗粒化主方程导出,该主方程支配单粒子相空间中给定位置和速度的格子内随机粒子数。该对称关系涉及在给定粒子密度或温度下,在储库或热化表面之间流动的气体的涨落粒子流和能量流。
引用
@article{arxiv.1206.0639,
title = {Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation},
author = {Pierre Gaspard},
journal= {arXiv preprint arXiv:1206.0639},
year = {2015}
}
备注
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 Poincar\'e Institute, Paris, February 9-11, 2011