A new approach to Boltzmann's ergodic hypothesis

DOI10.1134/S1064562415050269zbMath1360.37152MaRDI QIDQ906115

Alexander Lykov, Vadim A. Malyshev

Publication date: 29 January 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Liouville measureconvergence to equilibriummany-particle Hamiltonian system

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60) Boltzmann equations (35Q20)

Related Items (1)

Emergent pseudo time-irreversibility in the classical many-body system of pair interacting particles

Cites Work

• Harmonic systems with bulk noises
• Transport properties of a chain of anharmonic oscillators with random flip of velocities
• Stationary states of random Hamiltonian systems
• Conditional proof of the Boltzmann-Sinai ergodic hypothesis
• Thermalization in harmonic particle chains with velocity flips
• Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems
• Harmonic Chain with Weak Dissipation
• Markov Chains and Stochastic Stability
• Convergence to Gibbs equilibrium - unveiling the mystery
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