Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution

Autores
Plastino, Ángel Ricardo; Plastino, Ángelo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Non-standard thermostatistical formalisms derived from generalizations of the Boltzmann–Gibbs entropy have attracted considerable attention recently. Among the various proposals, the one that has been most intensively studied, and most successfully applied to concrete problems in physics and other areas, is the one associated with the (Formula presented.) non-additive entropies. The (Formula presented.) -based thermostatistics exhibits a number of peculiar features that distinguish it from other generalizations of the Boltzmann–Gibbs theory. In particular, there is a close connection between the (Formula presented.) -canonical distributions and the micro-canonical ensemble. The connection, first pointed out in 1994, has been subsequently explored by several researchers, who elaborated this facet of the (Formula presented.) -thermo-statistics in a number of interesting directions. In the present work, we provide a brief review of some highlights within this line of inquiry, focusing on micro-canonical scenarios leading to (Formula presented.) -canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the (Formula presented.) -canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the (Formula presented.) -micro-canonical connection.
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángelo. 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
GENERALIZED ENTROPIES
MICRO-CANONICAL ENSEMBLE
SQ NON-ADDITIVE ENTROPIES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/220141
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability DistributionPlastino, Ángel RicardoPlastino, ÁngeloGENERALIZED ENTROPIESMICRO-CANONICAL ENSEMBLESQ NON-ADDITIVE ENTROPIEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Non-standard thermostatistical formalisms derived from generalizations of the Boltzmann–Gibbs entropy have attracted considerable attention recently. Among the various proposals, the one that has been most intensively studied, and most successfully applied to concrete problems in physics and other areas, is the one associated with the (Formula presented.) non-additive entropies. The (Formula presented.) -based thermostatistics exhibits a number of peculiar features that distinguish it from other generalizations of the Boltzmann–Gibbs theory. In particular, there is a close connection between the (Formula presented.) -canonical distributions and the micro-canonical ensemble. The connection, first pointed out in 1994, has been subsequently explored by several researchers, who elaborated this facet of the (Formula presented.) -thermo-statistics in a number of interesting directions. In the present work, we provide a brief review of some highlights within this line of inquiry, focusing on micro-canonical scenarios leading to (Formula presented.) -canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the (Formula presented.) -canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the (Formula presented.) -micro-canonical connection.Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Plastino, Ángelo. 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; ArgentinaMolecular Diversity Preservation International2023-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/220141Plastino, Ángel Ricardo; Plastino, Ángelo; Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution; Molecular Diversity Preservation International; Entropy; 25; 4; 4-2023; 1-151099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/e25040591info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:46:23Zoai:ri.conicet.gov.ar:11336/220141instacron: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:34982025-09-29 10:46:24.125CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
title Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
spellingShingle Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
Plastino, Ángel Ricardo
GENERALIZED ENTROPIES
MICRO-CANONICAL ENSEMBLE
SQ NON-ADDITIVE ENTROPIES
title_short Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
title_full Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
title_fullStr Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
title_full_unstemmed Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
title_sort Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution
dc.creator.none.fl_str_mv Plastino, Ángel Ricardo
Plastino, Ángelo
author Plastino, Ángel Ricardo
author_facet Plastino, Ángel Ricardo
Plastino, Ángelo
author_role author
author2 Plastino, Ángelo
author2_role author
dc.subject.none.fl_str_mv GENERALIZED ENTROPIES
MICRO-CANONICAL ENSEMBLE
SQ NON-ADDITIVE ENTROPIES
topic GENERALIZED ENTROPIES
MICRO-CANONICAL ENSEMBLE
SQ NON-ADDITIVE ENTROPIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Non-standard thermostatistical formalisms derived from generalizations of the Boltzmann–Gibbs entropy have attracted considerable attention recently. Among the various proposals, the one that has been most intensively studied, and most successfully applied to concrete problems in physics and other areas, is the one associated with the (Formula presented.) non-additive entropies. The (Formula presented.) -based thermostatistics exhibits a number of peculiar features that distinguish it from other generalizations of the Boltzmann–Gibbs theory. In particular, there is a close connection between the (Formula presented.) -canonical distributions and the micro-canonical ensemble. The connection, first pointed out in 1994, has been subsequently explored by several researchers, who elaborated this facet of the (Formula presented.) -thermo-statistics in a number of interesting directions. In the present work, we provide a brief review of some highlights within this line of inquiry, focusing on micro-canonical scenarios leading to (Formula presented.) -canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the (Formula presented.) -canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the (Formula presented.) -micro-canonical connection.
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángelo. 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 Non-standard thermostatistical formalisms derived from generalizations of the Boltzmann–Gibbs entropy have attracted considerable attention recently. Among the various proposals, the one that has been most intensively studied, and most successfully applied to concrete problems in physics and other areas, is the one associated with the (Formula presented.) non-additive entropies. The (Formula presented.) -based thermostatistics exhibits a number of peculiar features that distinguish it from other generalizations of the Boltzmann–Gibbs theory. In particular, there is a close connection between the (Formula presented.) -canonical distributions and the micro-canonical ensemble. The connection, first pointed out in 1994, has been subsequently explored by several researchers, who elaborated this facet of the (Formula presented.) -thermo-statistics in a number of interesting directions. In the present work, we provide a brief review of some highlights within this line of inquiry, focusing on micro-canonical scenarios leading to (Formula presented.) -canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the (Formula presented.) -canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the (Formula presented.) -micro-canonical connection.
publishDate 2023
dc.date.none.fl_str_mv 2023-04
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/11336/220141
Plastino, Ángel Ricardo; Plastino, Ángelo; Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution; Molecular Diversity Preservation International; Entropy; 25; 4; 4-2023; 1-15
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/220141
identifier_str_mv Plastino, Ángel Ricardo; Plastino, Ángelo; Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution; Molecular Diversity Preservation International; Entropy; 25; 4; 4-2023; 1-15
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/e25040591
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
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
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score 13.070432

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