Tsallis thermostatistics for finite systems: a Hamiltonian approach

DOI10.1016/S0378-4371(02)01601-1zbMath1038.82048arXivcond-mat/0204034OpenAlexW3099437936MaRDI QIDQ1866941

Artur B. Adib, José S. jun. Andrade, Murilo P. Almeida, André A. Moreira

Publication date: 23 April 2003

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0204034

zbMATH Keywords

thermodynamic limitcanonical distributionGibbs microcanonical ensemble

Mathematics Subject Classification ID

Foundations of time-dependent statistical mechanics (82C03)

Related Items (8)

Ricci curvature, isoperimetry and a non-additive entropy ⋮ Non-extensivity of the configurational density distribution in the classical microcanonical ensemble ⋮ Does the Boltzmann principle need a dynamical correction? ⋮ Ideal gas provides \(q\)-entropy ⋮ Rescaling the nonadditivity parameter in Tsallis thermostatistics ⋮ Thermodynamical entropy (and its additivity) within generalized thermodynamics ⋮ Model-free derivations of the Tsallis factor: constant heat capacity derivation ⋮ Statistical field theory of a nonadditive system

Cites Work

• Possible generalization of Boltzmann-Gibbs statistics.
• From Gibbs microcanonical ensemble to Tsallis generalized canonical distribution
• Entropy ambiguity in a system in equilibrium with a finite heat bath
• Microcanonical foundation for systems with power-law distributions
• Generalized entropies from first principles
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