Thermodynamics’ zeroth law in a nonextensive scenario

Autores
Martínez, S.; Pennini, Flavia; Plastino, Ángel Luis
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show how to reconcile Tsallis’ thermostatistics with thermodynamics’ zeroth law, by recourse to the so-called optimal Lagrange multipliers formalism. The central concept is that of not identifying in the usual fashion the inverse temperature with the Lagrange multiplier associated to the internal energy. Our analysis provides one with compatibility conditions between the additivity of the internal energy and the pseudo-additivity of the generalized entropy. With regards to the first law of thermodynamics, a generalization of Clausius’ equation is advanced.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Tsallis thermostatistics
Zeroth law
First law
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/131506

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spelling Thermodynamics’ zeroth law in a nonextensive scenarioMartínez, S.Pennini, FlaviaPlastino, Ángel LuisCiencias ExactasFísicaTsallis thermostatisticsZeroth lawFirst lawWe show how to reconcile Tsallis’ thermostatistics with thermodynamics’ zeroth law, by recourse to the so-called optimal Lagrange multipliers formalism. The central concept is that of not identifying in the usual fashion the inverse temperature with the Lagrange multiplier associated to the internal energy. Our analysis provides one with compatibility conditions between the additivity of the internal energy and the pseudo-additivity of the generalized entropy. With regards to the first law of thermodynamics, a generalization of Clausius’ equation is advanced.Facultad de Ciencias ExactasInstituto de Física La Plata2001-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf416-424http://sedici.unlp.edu.ar/handle/10915/131506enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0004448info:eu-repo/semantics/altIdentifier/doi/10.1016/s0378-4371(01)00121-2info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:23:09Zoai:sedici.unlp.edu.ar:10915/131506Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:23:09.888SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Thermodynamics’ zeroth law in a nonextensive scenario
title Thermodynamics’ zeroth law in a nonextensive scenario
spellingShingle Thermodynamics’ zeroth law in a nonextensive scenario
Martínez, S.
Ciencias Exactas
Física
Tsallis thermostatistics
Zeroth law
First law
title_short Thermodynamics’ zeroth law in a nonextensive scenario
title_full Thermodynamics’ zeroth law in a nonextensive scenario
title_fullStr Thermodynamics’ zeroth law in a nonextensive scenario
title_full_unstemmed Thermodynamics’ zeroth law in a nonextensive scenario
title_sort Thermodynamics’ zeroth law in a nonextensive scenario
dc.creator.none.fl_str_mv Martínez, S.
Pennini, Flavia
Plastino, Ángel Luis
author Martínez, S.
author_facet Martínez, S.
Pennini, Flavia
Plastino, Ángel Luis
author_role author
author2 Pennini, Flavia
Plastino, Ángel Luis
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Tsallis thermostatistics
Zeroth law
First law
topic Ciencias Exactas
Física
Tsallis thermostatistics
Zeroth law
First law
dc.description.none.fl_txt_mv We show how to reconcile Tsallis’ thermostatistics with thermodynamics’ zeroth law, by recourse to the so-called optimal Lagrange multipliers formalism. The central concept is that of not identifying in the usual fashion the inverse temperature with the Lagrange multiplier associated to the internal energy. Our analysis provides one with compatibility conditions between the additivity of the internal energy and the pseudo-additivity of the generalized entropy. With regards to the first law of thermodynamics, a generalization of Clausius’ equation is advanced.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We show how to reconcile Tsallis’ thermostatistics with thermodynamics’ zeroth law, by recourse to the so-called optimal Lagrange multipliers formalism. The central concept is that of not identifying in the usual fashion the inverse temperature with the Lagrange multiplier associated to the internal energy. Our analysis provides one with compatibility conditions between the additivity of the internal energy and the pseudo-additivity of the generalized entropy. With regards to the first law of thermodynamics, a generalization of Clausius’ equation is advanced.
publishDate 2001
dc.date.none.fl_str_mv 2001-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/131506
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dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-4371
info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0004448
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0378-4371(01)00121-2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
416-424
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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