Tsallis statistics: averages and a physical interpretation of the Lagrange multiplier \(\beta \)

DOI10.1016/S0375-9601(00)00634-4zbMath1167.82302arXivcond-mat/0006279OpenAlexW1999681934MaRDI QIDQ2644097

S. Kalyana Rama

Publication date: 7 September 2007

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0006279

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)

Related Items (13)

Non-Euclidean-normed statistical mechanics ⋮ Canonical ensemble in non-extensive statistical mechanics ⋮ Thermostatistical aspects of generalized entropies ⋮ Derivation of density operators for generalized entropies with quantum analysis ⋮ Use of the geometric mean as a statistic for the scale of the coupled Gaussian distributions ⋮ An insight to the nonextensive parameter in the actual gas ⋮ Rescaling the nonadditivity parameter in Tsallis thermostatistics ⋮ Phase transition for the system of finite volume in the ϕ4 theory in the Tsallis nonextensive statistics ⋮ ENERGY FLUCTUATIONS IN UNNORMALIZED TSALLIS STATISTICS ⋮ Nonextensive thermodynamic relations ⋮ Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory ⋮ Specific heat in the nonextensive statistics: Effective temperature and Lagrange parameter \(\beta\) ⋮ Bose-Einstein and Fermi-Dirac distributions in nonextensive Tsallis statistics: An exact study

Cites Work

• Possible generalization of Boltzmann-Gibbs statistics.
• Entropy ambiguity in a system in equilibrium with a finite heat bath
• Generalized statistical mechanics: Extension of the Hilhorst formula and application to the classical ideal gas

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