On the distribution of free path lengths for the periodic Lorentz gas II

DOI10.1051/m2an:2000121zbMath1006.82025OpenAlexW2116909241MaRDI QIDQ2707089

Bernt Wennberg, François Golse

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197407

zbMATH Keywords

limiting distributionperiodic Lorentz gaskinetic theoryBoltzmann-Grad limitmean free pathBoltzmann-Grad scalinglinear Boltzmann type transport equation

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary value problems for linear first-order PDEs (35F15)

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Superdiffusion in the periodic Lorentz gas, On the Boltzmann-Grad limit for the two-dimensional periodic Lorentz gas, The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit, Tail asymptotics of free path lengths for the periodic Lorentz process: on Dettmann's geometric conjectures, 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, On the convergence to equilibrium for degenerate transport problems, Free path lengths in quasi crystals, The Boltzmann-Grad limit of the periodic Lorentz gas, On the derivation of a linear Boltzmann equation from a periodic lattice gas, The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates, Free path lengths in quasicrystals, Power-law distributions for the free path length in Lorentz gases, The free path in a high velocity random flight process associated to a Lorentz gas in an external field, On the periodic Lorentz gas and the Lorentz kinetic equation, Recent Results on the Periodic Lorentz Gas

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