Kinetical foundations of non-conventional statistics

DOI10.1016/S0378-4371(01)00643-4zbMath0986.82029arXivcond-mat/0110066WikidataQ62596879 ScholiaQ62596879MaRDI QIDQ5958959

Antonio Maria Scarfone, Piero Quarati, Giorgio Kaniadakis

Publication date: 20 March 2002

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0110066

zbMATH Keywords

H-theoremnonlinear Boltzmann equationnon-extensive systems

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (9)

Holographic considerations on non-Gaussian statistics and gravothermal catastrophe ⋮ Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions ⋮ Investigation of some quantum mechanics problems with \(\kappa\)-translation symmetry ⋮ Thermodynamic properties of the blackbody radiation: a Kaniadakis approach ⋮ Conservative force fields in non-Gaussian statistics ⋮ Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism ⋮ PHYSICAL ORIGIN OF THE POWER-LAW TAILED STATISTICAL DISTRIBUTIONS ⋮ A completeness criterion for Kaniadakis, Abe and two-parameter generalized statistical theories ⋮ Entropic forms and related algebras

Cites Work

• A quantitative test of Gibbs' statistical mechanics
• Non-linear kinetics underlying generalized statistics
• \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics
• H-theorem and generalized entropies within the framework of nonlinear kinetics

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