Kaniadakis Entropy Leads to Particle–Hole Symmetric Distribution

We discuss generalized exponentials, whose inverse functions are at the core of generalized entropy formulas, with respect to particle–hole (KMS) symmetry. The latter is fundamental in field theory; so, possible statistical generalizations of the Boltzmann formula-based thermal field theory have to...

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Bibliographic Details
Published in:	Entropy (Basel, Switzerland) Vol. 24; no. 9; p. 1217
Main Author:	Biro, Tamas S
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 30-08-2022 MDPI
Subjects:	Analysis Energy Entropy Entropy (Information theory) Entropy (Physics) Equilibrium Field theory Holes (Electron deficiencies) Kaniadakis entropy kappa statistics KMS relation Particle physics Symmetry Tsallis distribution Hungary
Online Access:	Get full text
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Summary:	We discuss generalized exponentials, whose inverse functions are at the core of generalized entropy formulas, with respect to particle–hole (KMS) symmetry. The latter is fundamental in field theory; so, possible statistical generalizations of the Boltzmann formula-based thermal field theory have to take this property into account. We demonstrate that Kaniadakis’ approach is KMS ready and discuss possible further generalizations.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	1099-4300 1099-4300
DOI:	10.3390/e24091217