Statistical mechanical foundations for systems with nonexponential distributions

DOI10.1016/S0960-0779(01)00036-4zbMath0991.82002arXivcond-mat/0003493OpenAlexW2074324788WikidataQ127797701 ScholiaQ127797701MaRDI QIDQ5954876

Sumiyoshi Abe, A. K. Rajagopal

Publication date: 5 February 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0003493

zbMATH Keywords

power-law canonical distributions

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03)

Related Items (7)

Statistical mechanical foundations of power-law distributions ⋮ Stability analysis of generalized entropies and \(q\)-exponential distributions ⋮ Nonsymmetric entropy and maximum nonsymmetric entropy principle ⋮ Generalized entropic structures and non-generality of Jaynes' formalism ⋮ Maximum entropy method in comminution modelling ⋮ Scale-invariant random-walks and optimization of non-extensive entropy ⋮ Many-body \(q\)-exponential distribution prescribed by factorization of joint probability

Cites Work

• Nonuniqueness of canonical ensemble theory arising from microcanonical basis
• Papers on probability, statistics and statistical physics. Ed. by R. D. Rosenkrantz
• Possible generalization of Boltzmann-Gibbs statistics.
• Rates of convergence of non-extensive statistical distributions to Lévy distributions in full and half-spaces
• Microcanonical foundation for systems with power-law distributions
• NONEXTENSIVE THERMOSTATISTICS AND FRACTALS
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