Generic Properties of Stochastic Entropy Production

Pigolotti, Simone; Neri, Izaak; Roldan, Edgar; Jülicher, Frank

doi:10.1103/PhysRevLett.119.140604

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Generic Properties of Stochastic Entropy Production

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Neri, Izaak
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Roldan, Edgar
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Jülicher, Frank
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.140604
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Citation

Pigolotti, S., Neri, I., Roldan, E., & Jülicher, F. (2017). Generic Properties of Stochastic Entropy Production. Physical Review Letters, 119(14): 140604. doi:10.1103/PhysRevLett.119.140604.

Cite as: https://hdl.handle.net/21.11116/0000-0000-3CAB-D

Abstract

We derive an Ito 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 nonsteady-state conditions.