Entropy production in nonequilibrium systems described by a Fokker-Planck equation

Detalhes bibliográficos
Autor(a) principal: Tomé,Tânia
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000700029
Resumo: We study the entropy production in nonequilibrium systems described by a Fokker-Planck equation. We have devised an expression for the entropy flux in the stationary state. We have found that the entropy flux can be written as an ensemble average of an expression containing the force and its derivative. This result is similar to the one used by Lebowitz and Spohn for system following a Markovian process in discrete space. We have also been able to obtain a fluctuation-dissipation type relation between the dissipated power, which was written as an ensemble average, and the production of entropy for the case of systems in contact with one heat bath. We have applied the results for a simple model for particles subjected to dissipative forces.
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spelling Entropy production in nonequilibrium systems described by a Fokker-Planck equationEntropy productionIrreversible systemsFokker-Planck equationWe study the entropy production in nonequilibrium systems described by a Fokker-Planck equation. We have devised an expression for the entropy flux in the stationary state. We have found that the entropy flux can be written as an ensemble average of an expression containing the force and its derivative. This result is similar to the one used by Lebowitz and Spohn for system following a Markovian process in discrete space. We have also been able to obtain a fluctuation-dissipation type relation between the dissipated power, which was written as an ensemble average, and the production of entropy for the case of systems in contact with one heat bath. We have applied the results for a simple model for particles subjected to dissipative forces.Sociedade Brasileira de Física2006-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000700029Brazilian Journal of Physics v.36 n.4a 2006reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332006000700029info:eu-repo/semantics/openAccessTomé,Tâniaeng2007-06-21T00:00:00Zoai:scielo:S0103-97332006000700029Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2007-06-21T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Entropy production in nonequilibrium systems described by a Fokker-Planck equation
title Entropy production in nonequilibrium systems described by a Fokker-Planck equation
spellingShingle Entropy production in nonequilibrium systems described by a Fokker-Planck equation
Tomé,Tânia
Entropy production
Irreversible systems
Fokker-Planck equation
title_short Entropy production in nonequilibrium systems described by a Fokker-Planck equation
title_full Entropy production in nonequilibrium systems described by a Fokker-Planck equation
title_fullStr Entropy production in nonequilibrium systems described by a Fokker-Planck equation
title_full_unstemmed Entropy production in nonequilibrium systems described by a Fokker-Planck equation
title_sort Entropy production in nonequilibrium systems described by a Fokker-Planck equation
author Tomé,Tânia
author_facet Tomé,Tânia
author_role author
dc.contributor.author.fl_str_mv Tomé,Tânia
dc.subject.por.fl_str_mv Entropy production
Irreversible systems
Fokker-Planck equation
topic Entropy production
Irreversible systems
Fokker-Planck equation
description We study the entropy production in nonequilibrium systems described by a Fokker-Planck equation. We have devised an expression for the entropy flux in the stationary state. We have found that the entropy flux can be written as an ensemble average of an expression containing the force and its derivative. This result is similar to the one used by Lebowitz and Spohn for system following a Markovian process in discrete space. We have also been able to obtain a fluctuation-dissipation type relation between the dissipated power, which was written as an ensemble average, and the production of entropy for the case of systems in contact with one heat bath. We have applied the results for a simple model for particles subjected to dissipative forces.
publishDate 2006
dc.date.none.fl_str_mv 2006-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000700029
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332006000700029
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332006000700029
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.36 n.4a 2006
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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