Reexamination of Gibbs' theorem and nonuniqueness of canonical ensemble theory

DOI10.1016/S0378-4371(01)00071-1zbMath0978.82043OpenAlexW1972224153MaRDI QIDQ5936577

Sumiyoshi Abe, A. K. Rajagopal

Publication date: 2 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0378-4371(01)00071-1

zbMATH Keywords

macroscopic equilibrium thermodynamicsnonextensive entropiespower-law distributions

Mathematics Subject Classification ID

Statistical thermodynamics (82B30)

Related Items (4)

What should a statistical mechanics satisfy to reflect nature? ⋮ Gibbs' theorem for open systems with incomplete statistics ⋮ Model-free derivations of the Tsallis factor: constant heat capacity derivation ⋮ On the laws of thermodynamics from the escort average and on the uniqueness of statistical factors

Cites Work

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• Nonuniqueness of canonical ensemble theory arising from microcanonical basis
• The statistical thermodynamics of equilibrium
• Microcanonical foundation for systems with power-law distributions

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