Nonequilibrium dynamics of infinite particle systems with infinite range interactions

DOI10.1063/1.532971zbMath0988.82034OpenAlexW2070284022MaRDI QIDQ4270427

Changsoo Bahn, Hyun Jae Yoo, Yong Moon Park

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532971

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

Time evolution of an infinitely extended Vlasov system with singular mutual interaction ⋮ On the propagation of a perturbation in an anharmonic system ⋮ On the violation of Ohm's law for bounded interactions: a one-dimensional system ⋮ Dynamics of infinite classical anharmonic crystals ⋮ Cucker-Smale-type dynamics of infinitely many individuals with repulsive forces ⋮ A general theorem on indeterminism in classical particle dynamics: inflationary scenarios ⋮ Time evolution of two dimensional systems with infinitely many particles mutually interacting via very singular forces ⋮ Speedy motions of a body immersed in an infinitely extended medium ⋮ Dynamics of infinitely extended hard core systems ⋮ N/V-LIMIT FOR LANGEVIN DYNAMICS IN CONTINUUM ⋮ Dynamics of infinitely many particles mutually interacting in three dimensions via a bounded superstable long-range potential

Cites Work

• Some remarks on nonequilibrium dynamics of infinite particle systems
• Equilibrium fluctuations for interacting Brownian particles
• On non-equilibrium dynamics of multidimensional infinite particle systems in the translation invariant case
• Gradient dynamics of infinite point systems
• Selfadjointness of the Liouville operator for infinite classical systems
• Analysis and geometry on configuration spaces
• Analysis and geometry on configuration spaces: the Gibbsian case
• Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction
• Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
• Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
• The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem
• Superstable interactions in classical statistical mechanics
• Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
• Dirichlet forms and Dirichlet operators for infinite particle systems: Essential self-adjointness

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