Uniform propagation of chaos for Kac's 1D particle system

DOI10.1007/s10955-016-1674-xzbMath1357.82055arXiv1606.06330OpenAlexW3100685712MaRDI QIDQ513202

Roberto Cortez

Publication date: 3 March 2017

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

Full work available at URL: https://arxiv.org/abs/1606.06330

zbMATH Keywords

kinetic theorypropagation of chaosKac particle system

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

Chaos for rescaled measures on Kac's sphere ⋮ Solutions of kinetic-type equations with perturbed collisions ⋮ On a thermostated Kac model with rescaling ⋮ Uniform propagation of chaos for the thermostated Kac model

Cites Work

• Uniform contractivity in Wasserstein metric for the original 1D Kac's model
• Quantitative propagation of chaos for generalized Kac particle systems
• Kac's program in kinetic theory
• Chaos and entropic chaos in Kac's model without high moments
• On the rate of convergence in Wasserstein distance of the empirical measure
• Entropy and chaos in the Kac model
• Determination of the spectral gap for Kac's master equation and related stochastic evolution.
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
• Optimal Transport
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