Some ideas about quantitative convergence of collision models to their mean field limit

DOI10.1007/s10955-009-9820-3zbMath1180.82151arXiv0902.0721OpenAlexW2041520137MaRDI QIDQ1040718

Rémi Peyre

Publication date: 25 November 2009

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

Full work available at URL: https://arxiv.org/abs/0902.0721

zbMATH Keywords

kinetic theorymean field limitspatially homogeneous Boltzmann equationnonasymptotic bounds

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (3)

Kac's program in kinetic theory ⋮ Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff ⋮ Kac's chaos and Kac's program

Cites Work

• Quantitative concentration inequalities for empirical measures on non-compact spaces
• Ricci curvature of Markov chains on metric spaces
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
• Stochastic particle approximations for generalized Boltzmann models and convergence estimates
• Logarithmic Sobolev inequalities for some nonlinear PDE's.
• Sur la théorie de l'équation intégrodifferentielle de Boltzmann
• A Hilbertian approach for fluctuations on the McKean-Vlasov model
• [https://portal.mardi4nfdi.de/wiki/Publication:3347061 �quations de type de Boltzmann, spatialement homog�nes]
• Uniform Central Limit Theorems
• Direct Simulation and the Boltzmann Equation
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