A proof of Clausius’ theorem for time reversible deterministic microscopic dynamics
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Evans, Denis J.; Williams, Stephen R.; Searles, Debra J.
Description
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.
Collections | ANU Research Publications |
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Date published: | 2011-05-27 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/95096 |
Source: | The Journal of Chemical Physics |
DOI: | 10.1063/1.3592531 |
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