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

Evans, Denis J.; Williams, Stephen R.; Searles, Debra J.


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.

CollectionsANU Research Publications
Date published: 2011-05-27
Type: Journal article
Source: The Journal of Chemical Physics
DOI: 10.1063/1.3592531


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