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Entropy 2014, 16(4), 1917-1930; doi:10.3390/e16041917

The Entropy Production Distribution in Non-Markovian Thermal Baths

Departamento de Física, Universidad Autónoma Metropolitana–Iztapalapa, Distrito Federal 09340,Mexico
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Received: 16 December 2013 / Revised: 15 February 2014 / Accepted: 17 March 2014 / Published: 28 March 2014
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Abstract

In this work we study the distribution function for the total entropy production of a Brownian particle embedded in a non-Markovian thermal bath. The problem is studied in the overdamped approximation of the generalized Langevin equation, which accounts for a friction memory kernel characteristic of a Gaussian colored noise. The problem is studied in two physical situations: (i) when the particle in the harmonic trap is subjected to an arbitrary time-dependent driving force; and (ii) when the minimum of the harmonic trap is arbitrarily dragged out of equilibrium by an external force. By assuming a natural non Markovian canonical distribution for the initial conditions, the distribution function for the total entropy production becomes a non Gaussian one. Its characterization is then given through the first three cumulants. View Full-Text
Keywords: fluctuation relations; generalized Langevin equation; total entropy production; transition probability density fluctuation relations; generalized Langevin equation; total entropy production; transition probability density
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Jiménez-Aquino, J.I.; Velasco, R.M. The Entropy Production Distribution in Non-Markovian Thermal Baths. Entropy 2014, 16, 1917-1930.

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