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Non-unique way to generalize the Boltzmann-Gibbs distribution

Jan Naudts
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Abstract

Alternative definitions are given of basic concepts of generalized thermostatistics. In particular, generalizations of Shannon's entropy, of the Boltzmann-Gibbs distribution, and of relative entropy are considered. Particular choices made in Tsallis' nonextensive thermostatistics are questioned.

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Jan Naudts. 2003-03-04. Non-unique way to generalize the Boltzmann-Gibbs distribution. https://arxiv.org/abs/cond-mat/0303051

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