A proof of Clausius' theorem for time reversible deterministic microscopic dynamics

作者:Evans Denis J; Williams Stephen R*; Searles Debra J
来源:Journal of Chemical Physics, 2011, 134(20): 204113.
DOI:10.1063/1.3592531

摘要

In 1854 Clausius proved the famous theorem that bears his name by assuming the second "law" of thermodynamics. In the present paper we give a proof that requires no such assumption. Our proof rests on the laws of mechanics, a T-mixing property, an ergodic consistency condition, and on the axiom of causality. Our result relies on some recently derived theorems, such as the Evans-Searles and the Crooks fluctuation theorems and the recently discovered relaxation and dissipation theorems.

  • 出版日期2011-5-28