On the periodic Lorentz gas and the Lorentz kinetic equation

DOI10.5802/afst.1200zbMath1166.82304arXivmath/0703812OpenAlexW4323927753MaRDI QIDQ1012039

François Golse

Publication date: 14 April 2009

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703812

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (19)

Mean field limit for particles interacting with a vibrating medium ⋮ Derivation of a non-autonomous linear Boltzmann equation from a heterogeneous Rayleigh gas ⋮ On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas ⋮ The derivation of the linear Boltzmann equation from a Rayleigh gas particle model ⋮ A model of particles interacting with thermal traps ⋮ The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems ⋮ Kinetic Theory for the Low-Density Lorentz Gas ⋮ The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions ⋮ The Lorentz gas with a nearly periodic distribution of scatterers ⋮ On the convergence to equilibrium for degenerate transport problems ⋮ Free path lengths in quasi crystals ⋮ The Boltzmann-Grad limit of the periodic Lorentz gas ⋮ Linear diffusive limit of deterministic systems of hard spheres ⋮ Homogenization of transport problems and semigroups ⋮ Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows ⋮ Statistical Stability for Transport in Random Media ⋮ Power-law distributions for the free path length in Lorentz gases ⋮ Particles Interacting with a Vibrating Medium: Existence of Solutions and Convergence to the Vlasov--Poisson System ⋮ Recent Results on the Periodic Lorentz Gas

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