期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 193, 期 1-4, 页码 53-66出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2004.01.008
关键词
non-equilibrium entropy; H-theorem phase space volume; macroscopic evolution; microscopic dynamics
Boltzmann defined the entropy of a macroscopic system in a macrostate M as the log of the volume of phase space (number of microstates) corresponding to M. This agrees with the thermodynamic entropy of Clausius when M specifies the locally conserved quantities of a system in local thermal equilibrium (LTE). Here we discuss Boltzmann's entropy, involving an appropriate choice of macro-variables, for systems not in LTE. We generalize the formulas of Boltzmann for dilute gases and of Resibois for hard sphere fluids and show that for macro-variables satisfying any deterministic autonomous evolution equation arising from the microscopic dynamics the corresponding Boltzmann entropy must satisfy an H-theorem. (C) 2004 Published by Elsevier B.V.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据