Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form

Autores
Plastino, Ángel Luis; Plastino, Ángel Ricardo; Rocca, Mario Carlos
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with Shannon's or Tsallis’ cases. Further, with reference to the Maximum Entropy (MaxEnt) variational process, we encounter important cases, relevant to physical applications currently discussed in the research literature, in which the associated reciprocity relations exhibit anomalies. We show that these anomalies can be cured by carefully discriminating between apparently equivalent entropic forms.
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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
MAXIMUM ENTROPY
NON TRACE FORM ENTROPIC FUNCTIONALS
RECIPROCITY RELATIONS
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:11336/141553
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Reciprocity relations and generalized, classic entropic quantifiers that lack trace-formPlastino, Ángel LuisPlastino, Ángel RicardoRocca, Mario CarlosMAXIMUM ENTROPYNON TRACE FORM ENTROPIC FUNCTIONALSRECIPROCITY RELATIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with Shannon's or Tsallis’ cases. Further, with reference to the Maximum Entropy (MaxEnt) variational process, we encounter important cases, relevant to physical applications currently discussed in the research literature, in which the associated reciprocity relations exhibit anomalies. We show that these anomalies can be cured by carefully discriminating between apparently equivalent entropic forms.Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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; ArgentinaFil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); ArgentinaFil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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 Science2019-02-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/141553Plastino, Ángel Luis; Plastino, Ángel Ricardo; Rocca, Mario Carlos; Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 515; 01-2-2019; 346-3540378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2018.09.111info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437118312445?via%3Dihubinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1810.05024info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:08:07Zoai:ri.conicet.gov.ar:11336/141553instacron: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:34982025-09-03 10:08:07.964CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
spellingShingle Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
Plastino, Ángel Luis
MAXIMUM ENTROPY
NON TRACE FORM ENTROPIC FUNCTIONALS
RECIPROCITY RELATIONS
title_short Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_full Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_fullStr Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_full_unstemmed Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
title_sort Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Plastino, Ángel Ricardo
Rocca, Mario Carlos
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Plastino, Ángel Ricardo
Rocca, Mario Carlos
author_role author
author2 Plastino, Ángel Ricardo
Rocca, Mario Carlos
author2_role author
author
dc.subject.none.fl_str_mv MAXIMUM ENTROPY
NON TRACE FORM ENTROPIC FUNCTIONALS
RECIPROCITY RELATIONS
topic MAXIMUM ENTROPY
NON TRACE FORM ENTROPIC FUNCTIONALS
RECIPROCITY RELATIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with Shannon's or Tsallis’ cases. Further, with reference to the Maximum Entropy (MaxEnt) variational process, we encounter important cases, relevant to physical applications currently discussed in the research literature, in which the associated reciprocity relations exhibit anomalies. We show that these anomalies can be cured by carefully discriminating between apparently equivalent entropic forms.
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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 In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with Shannon's or Tsallis’ cases. Further, with reference to the Maximum Entropy (MaxEnt) variational process, we encounter important cases, relevant to physical applications currently discussed in the research literature, in which the associated reciprocity relations exhibit anomalies. We show that these anomalies can be cured by carefully discriminating between apparently equivalent entropic forms.
publishDate 2019
dc.date.none.fl_str_mv 2019-02-01
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/11336/141553
Plastino, Ángel Luis; Plastino, Ángel Ricardo; Rocca, Mario Carlos; Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 515; 01-2-2019; 346-354
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/141553
identifier_str_mv Plastino, Ángel Luis; Plastino, Ángel Ricardo; Rocca, Mario Carlos; Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 515; 01-2-2019; 346-354
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/doi/10.1016/j.physa.2018.09.111
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437118312445?via%3Dihub
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1810.05024
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
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_ 1842270032314236928
score 13.13397

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