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Is Tsallis thermodynamics nonextensive?

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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 Einsteins 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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VIVES I SANTA-EULÀLIA, Eduard and PLANES VILA, Antoni. Is Tsallis thermodynamics nonextensive?. Physical Review Letters. 2002. Vol. 88, num. 2, pags. 020601-1-020601-4. ISSN 0031-9007. [consulted: 30 of June of 2026]. Available at: https://hdl.handle.net/2445/12829

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