Large deviations from a kinetic limit

DOI10.1214/aop/1022855753zbMath0935.60092OpenAlexW2064980165MaRDI QIDQ1307487

Fraydoun Rezakhanlou

Publication date: 2 December 1999

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1022855753

zbMATH Keywords

discrete Boltzmann equationparticle systemsvariational formula

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 (9)

Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function ⋮ Dynamics of dilute gases: a statistical approach ⋮ Fluctuation theory in the Boltzmann-Grad limit ⋮ On the dynamics of dilute gases ⋮ Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium ⋮ Is the Boltzmann equation reversible? A large deviation perspective on the irreversibility paradox ⋮ Dynamical large deviations for plasmas below the Debye length and the Landau equation ⋮ Large deviations for Kac-like walks ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation

Cites Work

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• Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result
• Kinetic limits for a class of interacting particle systems
• Equilibrium fluctuations for the discrete Boltzmann equation
• On the Cauchy problem for the discrete Boltzmann equation with initial values in \(L^ +_ 1{\mathbb{R}}\)
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• Time evolution of large classical systems
• Convex Analysis

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