Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects

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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.

T. S. Biró, Non-Additive Entropy Composition Rules Connected with Finite Heat-Bath Effects, Entropy 24(2) (2022) 1769.