Brief review on the connection between the micro-canonical ensemble and the Sq-canonical probability distribution

Autores
Plastino, Ángel Ricardo; Plastino, Ángel Luis
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 Sq non-additive entropies. The Sq-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 Sq-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 Sq-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 Sq-canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the Sq-canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the Sq-micro-canonical connection.
Instituto de Física La Plata
Materia
Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/152243

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spelling Brief review on the connection between the micro-canonical ensemble and the Sq-canonical probability distributionPlastino, Ángel RicardoPlastino, Ángel LuisFísicaGeneralized entropiesMicro-canonical ensembleSq non-additive entropiesNon-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 Sq non-additive entropies. The Sq-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 Sq-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 Sq-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 Sq-canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the Sq-canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the Sq-micro-canonical connection.Instituto de Física La Plata2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/152243enginfo:eu-repo/semantics/altIdentifier/issn/1099-4300info:eu-repo/semantics/altIdentifier/doi/10.3390/e25040591info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:39:17Zoai:sedici.unlp.edu.ar:10915/152243Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:39:17.477SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Física
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, Ángel Luis
author Plastino, Ángel Ricardo
author_facet Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_role author
author2 Plastino, Ángel Luis
author2_role author
dc.subject.none.fl_str_mv Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
topic Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
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 Sq non-additive entropies. The Sq-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 Sq-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 Sq-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 Sq-canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the Sq-canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the Sq-micro-canonical connection.
Instituto de Física La Plata
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 Sq non-additive entropies. The Sq-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 Sq-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 Sq-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 Sq-canonical distributions. We consider works on the micro-canonical ensemble, including historical ones, where the Sq-canonical distributions, although present, were not identified as such, and also more resent works by researchers who explicitly investigated the Sq-micro-canonical connection.
publishDate 2023
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Creative Commons Attribution 4.0 International (CC BY 4.0)
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Creative Commons Attribution 4.0 International (CC BY 4.0)
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