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American Physical Society, Physical Review Letters, 2(88), 2001

DOI: 10.1103/physrevlett.88.020601

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Is Tsallis thermodynamics nonextensive?

Journal article published in 2001 by Eduard Vives ORCID, Antoni Planes
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Within the Tsallis thermodynamics' framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be recovered. Moreover, we also generalize Einstein's formula for the probability of a fluctuation to occur by means of the maximum statistical entropy method. The use of the proposed transformation of variables also shows that fluctuations within Tsallis statistics can be mapped to those of standard statistical mechanics. ; Comment: 4 pages, no figures, revised version, new title, accepted in PRL