On the laws of thermodynamics from the escort average and on the uniqueness of statistical factors

DOI10.1016/S0375-9601(03)00119-1zbMath1010.82502OpenAlexW2057445307MaRDI QIDQ1860867

Takuya Yamano

Publication date: 4 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00119-1

zbMATH Keywords

statistical weightGibbs theoreminfinitesimal thermodynamic-system perturbation

Mathematics Subject Classification ID

Statistical thermodynamics (82B30)

Related Items (5)

Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions ⋮ Power-law tailed statistical distributions and Lorentz transformations ⋮ Model-free derivations of the Tsallis factor: constant heat capacity derivation ⋮ PHYSICAL ORIGIN OF THE POWER-LAW TAILED STATISTICAL DISTRIBUTIONS ⋮ Equivalence of the four versions of Tsallis’s statistics

Cites Work

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• Stock exchange: a statistical model
• Possible generalization of Boltzmann-Gibbs statistics.
• Remarks on: ``Thermodynamic stability conditions for the Tsallis and Rényi entropies by J. D. Ramshaw
• A note on limitations of standard thermodynamics
• Nonextensive thermodynamic relations
• Non-linear kinetics underlying generalized statistics
• Reexamination of Gibbs' theorem and nonuniqueness of canonical ensemble theory
• Normalized Tsallis entropy and its implications for the nonextensive thermostatistics
• H-theorem and generalized entropies within the framework of nonlinear kinetics
• A new one-parameter deformation of the exponential function

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