Kinetic limits for a class of interacting particle systems

DOI10.1007/s004400050019zbMath0838.60085OpenAlexW4256224727MaRDI QIDQ1908541

Fraydoun Rezakhanlou

Publication date: 27 May 1996

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050019

zbMATH Keywords

random walksdiscrete Boltzmann equationmacroscopic particle densityone-dimensional particle systems

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

Propagation of chaos for particle systems associated with discrete Boltzmann equation ⋮ Equilibrium fluctuations for the discrete Boltzmann equation ⋮ Stochastic approximations of the solution of a full Boltzmann equation with small initial data ⋮ Boltzmann-Grad limits for stochastic hard sphere models ⋮ Large deviations from a kinetic limit

Cites Work

• Unnamed Item
• A derivation of the Broadwell equation
• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum
• A cluster expansion approach to a one-dimensional Boltzmann equation: A validity result
• Propagation of chaos for particle systems associated with discrete Boltzmann equation
• Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result
• Metastability of Ginzburg-Landau model with a conservation law
• Time evolution of large classical systems