Verification of time-reversibility requirementfor systems satisfying the Evans-Searles fluctuation theorem.

Paper based on a presentation at the 19th International Conference on Chemical Thermodynamics (ICCT-19), 30 July to 4 August 2006, Boulder, CO, USA. Other presentations are published in this issue, pp. 1345-1462.The Evans-Searles fluctuation theorem (ESFT) has been shown to be applicable in the near- and far-from-equilibrium regimes for systems with both constant and time-dependent external fields. The derivations of the ESFT have assumed that the external field has a definite parity under a time-reversal mapping. In the present paper, we confirm that the time-reversibility of the system dynamics is a necessary condition for the ESFT to hold. The manner in which the ESFT fails for systems that are not time-reversible is presented, and results are shown which demonstrate that systems which fail to satisfy the ESFT may still satisfy the Crooks relation (CR). [ABSTRACT FROM AUTHOR]