Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field

DOI10.1007/s10955-016-1453-8zbMath1344.82038arXiv1507.02451OpenAlexW3104081608WikidataQ59197278 ScholiaQ59197278MaRDI QIDQ285560

Matteo Marcozzi, Alessia Nota

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1507.02451

zbMATH Keywords

magnetic fieldLorentz gasweak coupling limitlow density limitlinear Boltzmann equationlinear Landau equation

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (8)

The two-particle correlation function for systems with long-range interactions ⋮ Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit ⋮ On the theory of Lorentz gases with long range interactions ⋮ Kinetic Theory for the Low-Density Lorentz Gas ⋮ Interacting particle systems with long-range interactions: scaling limits and kinetic equations ⋮ Self-similar asymptotic behavior for the solutions of a linear coagulation equation ⋮ On the growth of a particle coalescing in a Poisson distribution of obstacles ⋮ Kinetic description of a Rayleigh gas with annihilation

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