Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects

Mathematical generalizations of the additive Boltzmann–Gibbs–Shannon entropy formula have been numerous since the 1960s. In this paper we seek an interpretation of the Rényi and Tsallis q-entropy formulas single parameter in terms of physical properties of a finite capacity heat-bath and fluctuation...

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Autor principal: Biró, Tamás Sándor
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9777958/
https://www.ncbi.nlm.nih.gov/pubmed/36554173
http://dx.doi.org/10.3390/e24121769
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author Biró, Tamás Sándor
author_facet Biró, Tamás Sándor
author_sort Biró, Tamás Sándor
collection PubMed
description Mathematical generalizations of the additive Boltzmann–Gibbs–Shannon entropy formula have been numerous since the 1960s. In this paper we seek an interpretation of the Rényi and Tsallis q-entropy formulas single parameter in terms of physical properties of a finite capacity heat-bath and fluctuations of temperature. Ideal gases of non-interacting particles are used as a demonstrating example.
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spelling pubmed-97779582022-12-23 Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects Biró, Tamás Sándor Entropy (Basel) Article Mathematical generalizations of the additive Boltzmann–Gibbs–Shannon entropy formula have been numerous since the 1960s. In this paper we seek an interpretation of the Rényi and Tsallis q-entropy formulas single parameter in terms of physical properties of a finite capacity heat-bath and fluctuations of temperature. Ideal gases of non-interacting particles are used as a demonstrating example. MDPI 2022-12-03 /pmc/articles/PMC9777958/ /pubmed/36554173 http://dx.doi.org/10.3390/e24121769 Text en © 2022 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Biró, Tamás Sándor
Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects
title Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects
title_full Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects
title_fullStr Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects
title_full_unstemmed Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects
title_short Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects
title_sort non-additive entropy composition rules connected with finite heat-bath effects
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9777958/
https://www.ncbi.nlm.nih.gov/pubmed/36554173
http://dx.doi.org/10.3390/e24121769
work_keys_str_mv AT birotamassandor nonadditiveentropycompositionrulesconnectedwithfiniteheatbatheffects

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