Is Tsallis thermodynamics nonextensive?

Details Is Tsallis thermodynamics nonextensive? Is Tsallis thermodynamics nonextensive?

2001-06-21

arxiv.org/abs/cond-mat/0106428v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figures, revised version, new title, accepted in PRL

Scientific paper

10.1103/PhysRevLett.88.020601

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.

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