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Entropy production and the arrow of time Export

by: J. M. R. Parrondo, Broeck, R. Kawai
New Journal of Physics, Vol. 11, No. 7. (2009), 073008.

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entropy irreversibility stochastic_processes work_theorem

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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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