Equilibrium statistical mechanics for incomplete nonextensive statistics

A. S. Parvan, T. Bíró

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The incomplete nonextensive statistics in the canonical and microcanonical ensembles is explored in the general case and in a particular case for the ideal gas. By exact analytical results for the ideal gas it is shown that taking the thermodynamic limit, with z=q/(1-q) being an extensive variable of state, the incomplete nonextensive statistics satisfies the requirements of equilibrium thermodynamics. The thermodynamical potential of the statistical ensemble is a homogeneous function of the first degree of the extensive variables of state. In this case, the incomplete nonextensive statistics is equivalent to the usual Tsallis statistics. If z is an intensive variable of state, i.e. the entropic index q is a universal constant, the requirements of the equilibrium thermodynamics are violated.

Original languageEnglish
Pages (from-to)372-378
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number3
DOIs
Publication statusPublished - Jan 17 2011

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statistical mechanics
statistics
ideal gas
thermodynamic equilibrium
requirements
thermodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Equilibrium statistical mechanics for incomplete nonextensive statistics. / Parvan, A. S.; Bíró, T.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 375, No. 3, 17.01.2011, p. 372-378.

Research output: Contribution to journalArticle

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