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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/152243
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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 |
dc.date.none.fl_str_mv |
2023 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
status_str |
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http://sedici.unlp.edu.ar/handle/10915/152243 |
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http://sedici.unlp.edu.ar/handle/10915/152243 |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/1099-4300 info:eu-repo/semantics/altIdentifier/doi/10.3390/e25040591 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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