Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications

Autores
Curado, E. M. F.; Nobre, F. D.; Plastino, Ángel Luis
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By considering a simple thermodynamic system, in thermal equilibrium at a temperature T and in the presence of an external parameter A, we focus our attention on the particular thermodynamic (macroscopic) relation dU = TdS + δW. Using standard axioms from information theory and the fact that the microscopic energy levels depend upon the external parameter A, we show that all usual results of statistical mechanics for reversible processes follow straightforwardly, without invoking the Maximum Entropy principle. For the simple system considered herein, two distinct forms of heat contributions appear naturally in the Clausius definition of entropy, TdS = δQ (T ) + δQ (A) = C (T ) A dT + C (A) T dA. We give a special attention to the amount of heat δQ (A) = C (A) T dA, associated with an infinitesimal variation dA at fixed temperature, for which a ‘‘generalized heat capacity’’, C (A) T = T (∂S/∂A)T , may be defined. The usefulness of these results is illustrated by considering some simple thermodynamic cycles.
Fil: Curado, E. M. F.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Nobre, F. D.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
THERMODYNAMICS
EQUILIBRIUM
DISTRIBUTION
INFORMATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/275356
Acceder
id CONICETDig_841813ae3e431d269581a12d9cbeb4af
oai_identifier_str oai:ri.conicet.gov.ar:11336/275356
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applicationsCurado, E. M. F.Nobre, F. D.Plastino, Ángel LuisTHERMODYNAMICSEQUILIBRIUMDISTRIBUTIONINFORMATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1By considering a simple thermodynamic system, in thermal equilibrium at a temperature T and in the presence of an external parameter A, we focus our attention on the particular thermodynamic (macroscopic) relation dU = TdS + δW. Using standard axioms from information theory and the fact that the microscopic energy levels depend upon the external parameter A, we show that all usual results of statistical mechanics for reversible processes follow straightforwardly, without invoking the Maximum Entropy principle. For the simple system considered herein, two distinct forms of heat contributions appear naturally in the Clausius definition of entropy, TdS = δQ (T ) + δQ (A) = C (T ) A dT + C (A) T dA. We give a special attention to the amount of heat δQ (A) = C (A) T dA, associated with an infinitesimal variation dA at fixed temperature, for which a ‘‘generalized heat capacity’’, C (A) T = T (∂S/∂A)T , may be defined. The usefulness of these results is illustrated by considering some simple thermodynamic cycles.Fil: Curado, E. M. F.. Centro Brasileiro de Pesquisas Físicas; BrasilFil: Nobre, F. D.. Centro Brasileiro de Pesquisas Físicas; BrasilFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaElsevier Science2010-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/275356Curado, E. M. F.; Nobre, F. D.; Plastino, Ángel Luis; Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 389; 5; 3-2010; 970-9800378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437109009145info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2009.11.004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-23T13:14:51Zoai:ri.conicet.gov.ar:11336/275356instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-12-23 13:14:51.98CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
title Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
spellingShingle Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
Curado, E. M. F.
THERMODYNAMICS
EQUILIBRIUM
DISTRIBUTION
INFORMATION
title_short Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
title_full Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
title_fullStr Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
title_full_unstemmed Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
title_sort Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications
dc.creator.none.fl_str_mv Curado, E. M. F.
Nobre, F. D.
Plastino, Ángel Luis
author Curado, E. M. F.
author_facet Curado, E. M. F.
Nobre, F. D.
Plastino, Ángel Luis
author_role author
author2 Nobre, F. D.
Plastino, Ángel Luis
author2_role author
author
dc.subject.none.fl_str_mv THERMODYNAMICS
EQUILIBRIUM
DISTRIBUTION
INFORMATION
topic THERMODYNAMICS
EQUILIBRIUM
DISTRIBUTION
INFORMATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv By considering a simple thermodynamic system, in thermal equilibrium at a temperature T and in the presence of an external parameter A, we focus our attention on the particular thermodynamic (macroscopic) relation dU = TdS + δW. Using standard axioms from information theory and the fact that the microscopic energy levels depend upon the external parameter A, we show that all usual results of statistical mechanics for reversible processes follow straightforwardly, without invoking the Maximum Entropy principle. For the simple system considered herein, two distinct forms of heat contributions appear naturally in the Clausius definition of entropy, TdS = δQ (T ) + δQ (A) = C (T ) A dT + C (A) T dA. We give a special attention to the amount of heat δQ (A) = C (A) T dA, associated with an infinitesimal variation dA at fixed temperature, for which a ‘‘generalized heat capacity’’, C (A) T = T (∂S/∂A)T , may be defined. The usefulness of these results is illustrated by considering some simple thermodynamic cycles.
Fil: Curado, E. M. F.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Nobre, F. D.. Centro Brasileiro de Pesquisas Físicas; Brasil
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description By considering a simple thermodynamic system, in thermal equilibrium at a temperature T and in the presence of an external parameter A, we focus our attention on the particular thermodynamic (macroscopic) relation dU = TdS + δW. Using standard axioms from information theory and the fact that the microscopic energy levels depend upon the external parameter A, we show that all usual results of statistical mechanics for reversible processes follow straightforwardly, without invoking the Maximum Entropy principle. For the simple system considered herein, two distinct forms of heat contributions appear naturally in the Clausius definition of entropy, TdS = δQ (T ) + δQ (A) = C (T ) A dT + C (A) T dA. We give a special attention to the amount of heat δQ (A) = C (A) T dA, associated with an infinitesimal variation dA at fixed temperature, for which a ‘‘generalized heat capacity’’, C (A) T = T (∂S/∂A)T , may be defined. The usefulness of these results is illustrated by considering some simple thermodynamic cycles.
publishDate 2010
dc.date.none.fl_str_mv 2010-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/275356
Curado, E. M. F.; Nobre, F. D.; Plastino, Ángel Luis; Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 389; 5; 3-2010; 970-980
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/275356
identifier_str_mv Curado, E. M. F.; Nobre, F. D.; Plastino, Ángel Luis; Computation of energy exchanges by combining information theory and a key thermodynamic relation: Physical applications; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 389; 5; 3-2010; 970-980
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437109009145
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2009.11.004
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1852334983349272576
score 12.952241

Publicaciones similares