title: A proof of Clausius' theorem for time reversible deterministic microscopic dynamics.
abstract: 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.
authors.affiliation: Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia.
authors.forename: Denis J
authors.initials: DJ
authors.lastname: Evans
authors.forename: Stephen R
authors.initials: SR
authors.lastname: Williams
authors.forename: Debra J
authors.initials: DJ
authors.lastname: Searles