Mathematical generalizations of the additive Boltzmann-Gibbs-Shannon entropy formula have been numerous since the 1960s. In this paper we seek an interpretation of the Rényi and Tsallis q-entropy formulas single parameter in terms of physical properties of a finite capacity heat-bath and fluctuations of temperature. Ideal gases of non-interacting particles are used as a demonstrating example.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9777958PMC
http://dx.doi.org/10.3390/e24121769DOI Listing

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