A dynamical thermostatting approach to nonextensive canonical ensembles

DOI10.1006/APHY.1996.5659zbMath0966.82500OpenAlexW2019882874WikidataQ61412797 ScholiaQ61412797MaRDI QIDQ1290475

Celia Anteneodo, Angel Ricardo Plastino

Publication date: 19 August 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4bc39c9d2350350c0686f76310cbbba9b21c50f0

zbMATH Keywords

canonical ensembleHamiltonian systemthermal bathTsallis generalized nonextensive thermostatistics

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Foundations of equilibrium statistical mechanics (82B03) Dynamical aspects of statistical mechanics (37A60)

Related Items (9)

Statistical complexity and disequilibrium ⋮ Complexity and neutron star structure ⋮ Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation ⋮ Werner states and the two-spinors Heisenberg anti-ferromagnet ⋮ Brain electrical activity analysis using wavelet-based informational tools ⋮ A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations ⋮ Information gain within nonextensive thermostatistics ⋮ Thermostatistics of extensive and non-extensive systems using generalized entropies ⋮ Brain electrical activity analysis using wavelet-based informational tools. II: Tsallis non-extensivity and complexity measures

Cites Work

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• Canonical ensembles from chaos
• Possible generalization of Boltzmann-Gibbs statistics.
• Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy
• Comment on: ``Thermodynamic stability conditions for the Tsallis and Rényi entropies by J. D. Ramshaw
• A quantitative test of Gibbs' statistical mechanics
• On the universality of thermodynamics' Legendre transform structure
• 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

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