Extensive Rényi statistics from non-extensive entropy

A. S. Parvan, T. S. Biró

Research output: Contribution to journalArticle

26 Citations (Scopus)


We show that starting with either the non-extensive Tsallis entropy in Wang's formalism or the extensive Rényi entropy, it is possible to construct equilibrium non-Gibbs canonical distribution functions which satisfy the fundamental equations of thermodynamics. The statistical mechanics with Tsallis entropy does not satisfy the zeroth law of thermodynamics at dynamical and statistical independence request, whereas the extensive Rényi statistics fulfills all requirements of equilibrium thermodynamics in the microcanonical ensemble. Transformation formulas between Tsallis statistics in Wang representation and Rényi statistics are presented. The one-particle distribution function in Rényi statistics for a classical ideal gas at finite particle number has a power-law tail for large momenta.

Original languageEnglish
Pages (from-to)375-387
Number of pages13
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5-6
Publication statusPublished - Jun 13 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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