Extensive Renyi Statistics from Non-Extensive Entropy
High Energy Physics - Phenomenology
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.hep-ph/0407131,
title = {Extensive Renyi Statistics from Non-Extensive Entropy},
author = {A. S. Parvan and T. S. Biro},
journal= {arXiv preprint arXiv:hep-ph/0407131},
year = {2009}
}
Comments
14 pages, 2 figures, LaTeX