Nonuniqueness of canonical ensemble theory arising from microcanonical basis

DOI10.1016/S0375-9601(00)00458-8zbMath1115.82303arXivquant-ph/9911097OpenAlexW3101442067MaRDI QIDQ997682

Sumiyoshi Abe, A. K. Rajagopal

Publication date: 7 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9911097

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03)

Related Items

Statistical mechanical foundations of power-law distributions, Remarks about the Tsallis formalism, Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation, Reexamination of Gibbs' theorem and nonuniqueness of canonical ensemble theory, Generalized entropies from first principles, Specific heat in the nonextensive statistics: Effective temperature and Lagrange parameter \(\beta\), Entropic nonextensivity: A possible measure of complexity, Statistical mechanical foundations for systems with nonexponential distributions, Generalized Stosszahlansatz and associated \(H\)-theorem in nonextensive statistical mechanics, Mixing and equilibration: protagonists in the scene of nonextensive statistical mechanics, Bose-Einstein and Fermi-Dirac distributions in nonextensive Tsallis statistics: An exact study

Cites Work

• Papers on probability, statistics and statistical physics. Ed. by R. D. Rosenkrantz
• Possible generalization of Boltzmann-Gibbs statistics.
• From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution
• Micro-canonical statistical mechanics of some non-extensive systems