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Published May 2014 | Published
Journal Article Open

Intrinsic irreversibility of Markovian chains

Abstract

We show that for a large class of stationary Markov processes the total variation distance between the final equilibrium distribution and that at a given time is a strongly monotonic vanishing function. We illustrate this for basic paradigmatic processes and discuss how, for systems susceptible to a canonical description, this can be interpreted as a statistical arrow of time that exists besides the standard decrease of free energy.

Additional Information

©2014 American Physical Society. Received 3 December 2013; published 13 May 2014. We are grateful to A. Ciattoni for useful discussions.

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Published - PhysRevE.89.052118.pdf

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