Gibbs ensembles, equidistribution of the energy of sympathetic oscillators and statistical models of thermostat

DOI10.1134/S1560354708030015zbMath1229.82091MaRDI QIDQ652951

Valery V. Kozlov

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

weak convergenceHamiltonian systemthermostatsympathetic oscillators

Mathematics Subject Classification ID

Hamilton's equations (70H05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical thermodynamics (82B30) Dynamical aspects of statistical mechanics (37A60)

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Probability, information and statistical physics ⋮ Nonequilibrium statistical operator method and generalized kinetic equations ⋮ Theorem on energy distribution over degrees of freedom for a quasistable symmetric anharmonic oscillator ⋮ The FPU problem as a statistical-mechanical counterpart of the KAM problem, and its relevance for the foundations of physics ⋮ THERMODYNAMIC LIMIT IN STATISTICAL PHYSICS

Cites Work

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• Thermal equilibrium in the sense of Gibbs and Poincaré
• On new forms of the ergodic theorem
• Hard ball systems and the Lorentz gas
• Kinetics of collisionless continuous media
• Billiards, invariant measures, and equilibrium thermodynamics. II

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