Entropy Production in Nonequilibrium Systems Described by a Fokker-Planck Equation

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Main Author: Tânia Tomé
Format: Artículo científico
Language:en
Published: Sociedade Brasileira de Física 2006
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author Tânia Tomé
author_facet Tânia Tomé
contents Entropy Production in Nonequilibrium Systems Described by a Fokker-Planck Equation Tânia Tomé Física, Astronomía y Matemáticas Fokker Planck equation Entropy production Irreversible systems We study the entropy production in nonequilibrium systems described by a Fokker-Planck equation. We havedevised an expression for the entropy flux in the stationary state. We have found that the entropy flux can bewritten as an ensemble average of an expression containing the force and its derivative. This result is similar tothe one used by Lebowitz and Spohn for system following a Markovian process in discrete space. We have alsobeen able to obtain a fluctuation-dissipation type relation between the dissipated power, which was written asan ensemble average, and the production of entropy for the case of systems in contact with one heat bath. Wehave applied the results for a simple model for particles subjected to dissipative forces. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436629 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4A Vol.36
format Artículo científico
id redalyc_46436629
language en
publishDate 2006
publisher Sociedade Brasileira de Física
spellingShingle Entropy Production in Nonequilibrium Systems Described by a Fokker-Planck Equation
Tânia Tomé
Física, Astronomía y Matemáticas
Fokker
Planck equation
Entropy production
Irreversible systems
Entropy Production in Nonequilibrium Systems Described by a Fokker-Planck Equation Tânia Tomé Física, Astronomía y Matemáticas Fokker Planck equation Entropy production Irreversible systems We study the entropy production in nonequilibrium systems described by a Fokker-Planck equation. We havedevised an expression for the entropy flux in the stationary state. We have found that the entropy flux can bewritten as an ensemble average of an expression containing the force and its derivative. This result is similar tothe one used by Lebowitz and Spohn for system following a Markovian process in discrete space. We have alsobeen able to obtain a fluctuation-dissipation type relation between the dissipated power, which was written asan ensemble average, and the production of entropy for the case of systems in contact with one heat bath. Wehave applied the results for a simple model for particles subjected to dissipative forces. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436629 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4A Vol.36
title Entropy Production in Nonequilibrium Systems Described by a Fokker-Planck Equation
topic Física, Astronomía y Matemáticas
Fokker
Planck equation
Entropy production
Irreversible systems
url https://www.redalyc.org/articulo.oa?id=46436629