Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics

Detalhes bibliográficos
Autor(a) principal: Casas-Vázquez,J.
Data de Publicação: 1997
Outros Autores: Jou,D.
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=S0103-97331997000400019
Resumo: We discuss the physical interpretation of the Lagrange multipliers appearing in the information-theoretical description of nonequilibrium steady states characterized by a heat flux or a viscous pressure. Some of the multipliers have a classical counterpart (temperature, pressure, chemical potential, ...) but their equations of state are modified by the fluxes, whereas some others, those which are related to nonequilibrium constraints, do not have an analogous in the equilibrium theory. We give definite results for the Lagrange multipliers, the partition function and the nonequilibrium entropy in some simple simple situations which provide explicit illustrations of their dependence on the fluxes. We end with some comments about the experimental verification of this dependence for the Lagrange multipliers conjugated to the internal energy.
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spelling Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical ThermodynamicsWe discuss the physical interpretation of the Lagrange multipliers appearing in the information-theoretical description of nonequilibrium steady states characterized by a heat flux or a viscous pressure. Some of the multipliers have a classical counterpart (temperature, pressure, chemical potential, ...) but their equations of state are modified by the fluxes, whereas some others, those which are related to nonequilibrium constraints, do not have an analogous in the equilibrium theory. We give definite results for the Lagrange multipliers, the partition function and the nonequilibrium entropy in some simple simple situations which provide explicit illustrations of their dependence on the fluxes. We end with some comments about the experimental verification of this dependence for the Lagrange multipliers conjugated to the internal energy.Sociedade Brasileira de Física1997-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400019Brazilian Journal of Physics v.27 n.4 1997reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331997000400019info:eu-repo/semantics/openAccessCasas-Vázquez,J.Jou,D.eng1999-06-14T00:00:00Zoai:scielo:S0103-97331997000400019Revistahttp://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:1999-06-14T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
title Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
spellingShingle Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
Casas-Vázquez,J.
title_short Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
title_full Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
title_fullStr Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
title_full_unstemmed Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
title_sort Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
author Casas-Vázquez,J.
author_facet Casas-Vázquez,J.
Jou,D.
author_role author
author2 Jou,D.
author2_role author
dc.contributor.author.fl_str_mv Casas-Vázquez,J.
Jou,D.
description We discuss the physical interpretation of the Lagrange multipliers appearing in the information-theoretical description of nonequilibrium steady states characterized by a heat flux or a viscous pressure. Some of the multipliers have a classical counterpart (temperature, pressure, chemical potential, ...) but their equations of state are modified by the fluxes, whereas some others, those which are related to nonequilibrium constraints, do not have an analogous in the equilibrium theory. We give definite results for the Lagrange multipliers, the partition function and the nonequilibrium entropy in some simple simple situations which provide explicit illustrations of their dependence on the fluxes. We end with some comments about the experimental verification of this dependence for the Lagrange multipliers conjugated to the internal energy.
publishDate 1997
dc.date.none.fl_str_mv 1997-12-01
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=S0103-97331997000400019
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400019
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97331997000400019
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.27 n.4 1997
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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