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

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...

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Autores principales: Plastino, Ángel Ricardo, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2023
Materias:
Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/152243
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-152243
record_format dspace
spelling I19-R120-10915-1522432023-04-27T20:32:39Z http://sedici.unlp.edu.ar/handle/10915/152243 issn:1099-4300 Brief review on the connection between the micro-canonical ensemble and the Sq-canonical probability distribution Plastino, Ángel Ricardo Plastino, Ángel Luis 2023 2023-04-27T17:12:27Z en Física Generalized entropies Micro-canonical ensemble Sq non-additive entropies 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 Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
spellingShingle Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
Plastino, Ángel Ricardo
Plastino, Ángel Luis
Brief review on the connection between the micro-canonical ensemble and the Sq-canonical probability distribution
topic_facet Física
Generalized entropies
Micro-canonical ensemble
Sq non-additive entropies
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.
format Articulo
Articulo
author Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_facet Plastino, Ángel Ricardo
Plastino, Ángel Luis
author_sort Plastino, Ángel Ricardo
title Brief review on the connection between the micro-canonical ensemble and the Sq-canonical probability distribution
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
publishDate 2023
url http://sedici.unlp.edu.ar/handle/10915/152243
work_keys_str_mv AT plastinoangelricardo briefreviewontheconnectionbetweenthemicrocanonicalensembleandthesqcanonicalprobabilitydistribution
AT plastinoangelluis briefreviewontheconnectionbetweenthemicrocanonicalensembleandthesqcanonicalprobabilitydistribution
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