Thermodynamic limit of a classical gas in nonextensive statistical mechanics: Negative specific heat and polytropism

DOI10.1016/S0375-9601(99)00745-8zbMath0940.82009WikidataQ128099298 ScholiaQ128099298MaRDI QIDQ1569420

Sumiyoshi Abe

Publication date: 3 July 2000

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

zbMATH Keywords

canonical ensembleBoltzmann-Gibbs limitTsallis' nonextensive statistical mechanics

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05)

Related Items

Remarks about the Tsallis formalism, Radial distribution function within the framework of the Tsallis statistical mechanics, \(q\)-deformed Einstein's model to describe specific heat of solid, What does the nonextensive parameter stand for in self-gravitating systems?, On the Einstein-Smoluchowski relation in the framework of generalized statistical mechanics, PHYSICAL TEMPERATURE AND PRESSURE IN FULLY NONEXTENSIVE STATISTICAL THERMODYNAMICS, Stability of thermally conducting plasma in a variable magnetic field, Logarithmic generalization of the Lambert \(W\) function and its applications to adiabatic thermostatistics of the three-parameter entropy, A mechanism leading to \(q\)-power law distribution due to the inhomogeneity of phase space in the self-gravitational system, A nonextensive approach for understanding the van der Waals’ equation, Fluctuation of energy in the generalized thermostatistics

Cites Work

• Unnamed Item
• Unnamed Item
• Some comments on Boltzmann-Gibbs statistical mechanics
• Possible generalization of Boltzmann-Gibbs statistics.
• Generalized statistical mechanics: Extension of the Hilhorst formula and application to the classical ideal gas
• Non-equilibrium thermodynamics and anomalous diffusion
• Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
• Dynamic Linear Response Theory for a Nonextensive System Based on the Tsallis Prescription
• The classical N-body problem within a generalized statistical mechanics