Microcanonical foundation for systems with power-law distributions

DOI10.1088/0305-4470/33/48/311zbMath0994.82002arXivcond-mat/0002159OpenAlexW2153814888MaRDI QIDQ2769572

A. K. Rajagopal, Sumiyoshi Abe

Publication date: 14 February 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0002159

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Foundations of equilibrium statistical mechanics (82B03)

Related Items (13)

Statistical mechanical foundations of power-law distributions ⋮ Stability analysis of generalized entropies and \(q\)-exponential distributions ⋮ Global regionalized seismicity in view of non-extensive statistical physics ⋮ Why \(q\)-expectation values must be used in nonextensive statistical mechanics ⋮ Numerical studies for an ab initio investigation into the Boltzmann prescription in statistical mechanics of large systems ⋮ Reexamination of Gibbs' theorem and nonuniqueness of canonical ensemble theory ⋮ Generalized entropies from first principles ⋮ Specific heat in the nonextensive statistics: Effective temperature and Lagrange parameter \(\beta\) ⋮ Statistical mechanical foundations for systems with nonexponential distributions ⋮ Generalized Stosszahlansatz and associated \(H\)-theorem in nonextensive statistical mechanics ⋮ Mixing and equilibration: protagonists in the scene of nonextensive statistical mechanics ⋮ Bose-Einstein and Fermi-Dirac distributions in nonextensive Tsallis statistics: An exact study ⋮ Tsallis thermostatistics for finite systems: a Hamiltonian approach

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