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Physics Letters A
Article
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Physics Letters A
Article . 2005 . Peer-reviewed
License: Elsevier TDM
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zbMATH Open
Article . 2005
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https://dx.doi.org/10.48550/ar...
Article . 2004
License: arXiv Non-Exclusive Distribution
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Extensive Rényi statistics from non-extensive entropy

Authors: Parvan, A. S.; Biró, T. S.;

Extensive Rényi statistics from non-extensive entropy

Abstract

We show that starting with either the non-extensive Tsallis entropy in Wang's formalism or the extensive Renyi entropy, it is possible to construct the equilibrium statistical mechanics with non-Gibbs canonical distribution functions. The transformation formulas between Tsallis statistics and Renyi statistics are presented. The one-particle distribution function in Renyi statistics with extensive entropy for the classical ideal gas at finite particle number develops a power-law tail for high momenta.

14 pages, 2 figures, LaTeX

Keywords

High Energy Physics - Phenomenology, Measures of information, entropy, High Energy Physics - Phenomenology (hep-ph), Research exposition (monographs, survey articles) pertaining to statistical mechanics, FOS: Physical sciences, Foundations of equilibrium statistical mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
42
Top 10%
Top 10%
Top 10%
Green
bronze