Generalized statistical mechanics: Extension of the Hilhorst formula and application to the classical ideal gas

DOI10.1016/0375-9601(95)00370-IzbMath1020.82503MaRDI QIDQ1965623

Domingo P. Prato

Publication date: 8 February 2000

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

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Statistical thermodynamics (82B30)

Related Items (17)

Superstatistics and the quest of generalized ensembles equivalence in a system with long-range interactions ⋮ What should a statistical mechanics satisfy to reflect nature? ⋮ An extensive study of Bose-Einstein condensation in liquid helium using Tsallis statistics ⋮ Tsallis statistics: averages and a physical interpretation of the Lagrange multiplier \(\beta \) ⋮ A simple mathematical model for anomalous diffusion via Fisher's information theory ⋮ An alternative approach to calculate the density of states in nonextensive statistical mechanics ⋮ Extensive statistical mechanics based on nonadditive entropy: canonical ensemble ⋮ The nonextensive gas: a kinetic approach ⋮ Extensive Rényi statistics from non-extensive entropy ⋮ BCS model in Tsallis' statistical framework ⋮ The imprints of nonextensive statistical mechanics in high-energy collisions ⋮ Some properties of \(q\)-logarithm and \(q\)-exponential functions in Tsallis statistics ⋮ Thermodynamic limit of a classical gas in nonextensive statistical mechanics: Negative specific heat and polytropism ⋮ The entropy in finite N-unit nonextensive systems: The normal average and q-average ⋮ Nonextensive statistics and multiplicity distribution in hadronic collisions ⋮ \(q\)-generalized Bose-Einstein condensation based on Tsallis entropy ⋮ Many-body \(q\)-exponential distribution prescribed by factorization of joint probability

Cites Work

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• Stock exchange: a statistical model
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
• A statistical mechanical approach to generalized statistics of quantum and classical gases
• The Onsager reciprocity relations within Tsallis statistics
• Variational method in generalized statistical mechanics
• The classical N-body problem within a generalized statistical mechanics

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