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Generic Properties of Stochastic Entropy Production

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Simone Pigolotti, Izaak Neri, Edgar Roldan, Frank Juelicher

Original languageEnglish
Article number140604
JournalPhysical Review Letters
Volume119
Early online date4 Oct 2017
DOIs
Accepted/In press13 Sep 2017
E-pub ahead of print4 Oct 2017
Published6 Oct 2017

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Abstract

We derive an Itô stochastic differential equation for entropy production in nonequilibrium Langevin processes. Introducing a random-time transformation, entropy production obeys a one-dimensional drift diffusion equation, independent of the underlying physical model. This transformation allows us to identify generic properties of entropy production. It also leads to an exact uncertainty equality relating the Fano factor of entropy production and the Fano factor of the random time, which we also generalize to non-steady-state conditions.

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