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arXiv · hep-ph/0407131

Extensive Renyi Statistics from Non-Extensive Entropy

A. S. Parvan·T. S. Biro
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Abstract

We show that starting with either the non-extensive Tsallis entropy in Wang's formalism or the extensive Renyi entropy, it is possible to construct the equilibrium statistical mechanics with non-Gibbs canonical distribution functions. The transformation formulas between Tsallis statistics and Renyi statistics are presented. The one-particle distribution function in Renyi statistics with extensive entropy for the classical ideal gas at finite particle number develops a power-law tail for high momenta.

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A. S. Parvan, T. S. Biro. 2004-07-12. Extensive Renyi Statistics from Non-Extensive Entropy. https://doi.org/10.1016/j.physleta.2005.04.036

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