Generic Properties of Stochastic Entropy Production

Simone Pigolotti; Izaak Neri; Edgar Roldan; Frank Juelicher

doi:10.1103/PhysRevLett.119.140604

Generic Properties of Stochastic Entropy Production

Simone Pigolotti, Izaak Neri, Edgar Roldan, Frank Juelicher

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131 Citations (Scopus)

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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.

Original language	English
Article number	140604
Journal	Physical Review Letters
Volume	119
Early online date	4 Oct 2017
DOIs	https://doi.org/10.1103/PhysRevLett.119.140604
Publication status	Published - 6 Oct 2017

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10.1103/PhysRevLett.119.140604

Generic Properties of Stochastic_PIGOLOTTI_Published 4 Oct 17_GREEN_AAMAccepted author manuscript, 2.1 MB

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title = "Generic Properties of Stochastic Entropy Production",

abstract = "We derive an It{\^o} 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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N2 - 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.

AB - 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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DO - 10.1103/PhysRevLett.119.140604

M3 - Article

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VL - 119

JO - Physical Review Letters

JF - Physical Review Letters

M1 - 140604

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Generic Properties of Stochastic Entropy Production

Abstract

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