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The following article is Open access

Entropy production and the arrow of time

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Published 3 July 2009 Published under licence by IOP Publishing Ltd
, , Citation J M R Parrondo et al 2009 New J. Phys. 11 073008 DOI 10.1088/1367-2630/11/7/073008

1367-2630/11/7/073008

Abstract

We present an exact relationship between the entropy production and the distinguishability of a process from its time-reverse, quantified by the relative entropy between forward and backward states. The relationship is shown to remain valid for a wide family of initial conditions, such as canonical, constrained canonical, multi-canonical and grand canonical distributions, as well as both for classical and quantum systems.

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