Lagrange Multipliers in Extended Irreversible Thermodynamics and in Informational Statistical Thermodynamics
Autor(a) principal: | |
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Data de Publicação: | 1997 |
Outros Autores: | |
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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Brazilian Journal of Physics |
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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 |
_version_ |
1754734858399121408 |