Entropy production and the arrow of time

Details Entropy production and the arrow of time Entropy production and the arrow of time

2009-04-09

arxiv.org/abs/0904.1573v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, no figures

Scientific paper

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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