Nonequilibrium statistical mechanics of weakly ergodic systems

DOI10.1134/S1560354720060118zbMath1471.82007OpenAlexW3112932212WikidataQ114074881 ScholiaQ114074881MaRDI QIDQ2235115

Valery V. Kozlov

Publication date: 20 October 2021

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

Full work available at URL: https://doi.org/10.1134/s1560354720060118

zbMATH Keywords

mixingHamiltonian systemweak ergodicityGibbs ensemblebilliard in a polytopeLiouville and Gibbs measures

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Foundations of time-dependent statistical mechanics (82C03) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Cites Work

• On Landau damping
• Thermal equilibrium in the sense of Gibbs and Poincaré
• Statistical properties of billiards in polytopes
• Statistical irreversibility of the Kac reversible circular model
• Conditional proof of the Boltzmann-Sinai ergodic hypothesis
• Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems
• The generalized Vlasov kinetic equation
• THE LINEAR THEORY OF LANDAU DAMPING
• THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
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