Abstract
We briefly review the foundations and applications of statistical mechanics based on the nonadditive entropies S q . Then we address four frequently focused points, namely (i) On the form of the constraints within a variational entropy principle; (ii) Are the q-indices first-principle-computable quantities or fitting parameters?; (iii) If one admits violation of the entropic additivity, why not admitting also violation of the entropic extensivity?; and (iv) Critical-like behavior.
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Tsallis, C. On the foundations of statistical mechanics. Eur. Phys. J. Spec. Top. 226, 1433–1443 (2017). https://doi.org/10.1140/epjst/e2016-60252-2
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DOI: https://doi.org/10.1140/epjst/e2016-60252-2