Extensive Renyi Statistics from Non-Extensive Entropy

Details Extensive Renyi Statistics from Non-Extensive Entropy Extensive Renyi Statistics from Non-Extensive Entropy

2004-07-12

arxiv.org/abs/hep-ph/0407131v1

Phys.Lett. A340 (2005) 375-387

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 2 figures, LaTeX

Scientific paper

10.1016/j.physleta.2005.04.036

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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