Generalized entropies from first principles

DOI10.1016/S0378-4371(01)00353-3zbMath0979.82032arXivcond-mat/0102112OpenAlexW2078156905MaRDI QIDQ5947850

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Publication date: 23 October 2001

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0102112

zbMATH Keywords

statistical mechanicsheat bathpower law canonical distributions

Mathematics Subject Classification ID

Statistical thermodynamics (82B30)

Related Items (14)

Ricci curvature, isoperimetry and a non-additive entropy ⋮ Tsallis entropy of fuzzy dynamical systems ⋮ What does the nonextensive parameter stand for in self-gravitating systems? ⋮ Ideal gas provides \(q\)-entropy ⋮ Thermodynamical entropy (and its additivity) within generalized thermodynamics ⋮ Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions ⋮ Model-free derivations of the Tsallis factor: constant heat capacity derivation ⋮ PHYSICAL TEMPERATURE AND PRESSURE IN FULLY NONEXTENSIVE STATISTICAL THERMODYNAMICS ⋮ Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions ⋮ Quasi-power laws in multiparticle production processes ⋮ Equivalence of the four versions of Tsallis’s statistics ⋮ AN APPLICATION OF NONEXTENSIVE PARAMETER: THE NONEXTENSIVE GAS AND REAL GAS ⋮ Tsallis thermostatistics for finite systems: a Hamiltonian approach ⋮ Fluctuation of energy in the generalized thermostatistics

Cites Work

• Nonuniqueness of canonical ensemble theory arising from microcanonical basis
• Possible generalization of Boltzmann-Gibbs statistics.
• From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution
• Microcanonical foundation for systems with power-law distributions
• Analysis of turbulence by statistics based on generalized entropies
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