Some remarks on nonequilibrium dynamics of infinite particle systems

DOI10.1007/BF01018557zbMath0591.60098OpenAlexW2082050568MaRDI QIDQ1074967

B. George

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01018557

zbMATH Keywords

essential self-adjointnessLiouville operatorinfinitely many particles in dimensions onelogarithmic order of energy fluctuations at infinitypair potential of finite rangesuperstable interactions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (9)

Time evolution of an infinitely extended Vlasov system with singular mutual interaction ⋮ Equilibrium fluctuations for interacting Brownian particles ⋮ On the propagation of a perturbation in an anharmonic system ⋮ Nonequilibrium dynamics of infinite particle systems with infinite range interactions ⋮ On the basis of statistical mechanics. The Liouville equation for systems with an infinite countable number of degrees of freedom ⋮ Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions ⋮ Transport properties of a chain of anharmonic oscillators with random flip of velocities ⋮ Dynamics of infinitely many particles mutually interacting in three dimensions via a bounded superstable long-range potential ⋮ An invariance principle for reversible Markov processes. Applications to random motions in random environments

Cites Work

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• Local stability and hydrodynamical limit of Spitzer's one dimensional lattice model
• Time evolution of infinitely many particles: An existence theorem
• Time evolution of Gibbs states for an anharmonic lattice
• Construction of one-dimensional classical dynamical system of infinitely many particles with nearest neighbor interaction
• Selfadjointness of the Liouville operator for infinite classical systems
• Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction
• On the time evolution of the states of infinitely extended particles systems
• The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem
• Superstable interactions in classical statistical mechanics
• Infinite lattice systems of interacting diffusion processes, existence and regularity properties
• On the dynamics of infinite anharmonic systems
• Time evolution of large classical systems

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