Dual description of nonextensive ensembles

DOI10.1016/S0960-0779(01)00026-1zbMath1010.81098arXivcond-mat/9904070OpenAlexW2027428395WikidataQ127646324 ScholiaQ127646324MaRDI QIDQ5954867

Jan Naudts

Publication date: 20 May 2003

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9904070

zbMATH Keywords

dualitycritical entropic indexequilibrium density matricesthermodynamically stable at all positive temperatures

Mathematics Subject Classification ID

Quantum optics (81V80) Measures of information, entropy (94A17) Statistical thermodynamics (82B30)

Related Items (8)

Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation ⋮ Source coding with escort distributions and Rényi entropy bounds ⋮ Connections between Tsallis' formalisms employing the standard linear average energy and ones employing the normalized \(q\)-average energy ⋮ Escort entropies and divergences and related canonical distribution ⋮ Duality and spatial inhomogeneity ⋮ On some entropy functionals derived from Rényi information divergence ⋮ Deformed exponentials and logarithms in generalized thermostatistics ⋮ Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations

Cites Work

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• Possible generalization of Boltzmann-Gibbs statistics.
• From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution
• RIGOROUS RESULTS IN NON-EXTENSIVE THERMODYNAMICS

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