Recent Results on the Periodic Lorentz Gas

DOI10.1007/978-3-0348-0191-1_2zbMath1295.35352arXiv0906.0191OpenAlexW1764825637MaRDI QIDQ2857015

François Golse

Publication date: 31 October 2013

Published in: Nonlinear Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0191

zbMATH Keywords

Boltzmann equationperiodic Lorentz gasBoltzmann--Grad limitdistribution of free-path lengths

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Nonlinear operators and their properties (47H99) Boltzmann equations (35Q20)

Related Items (10)

A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation ⋮ Efficient algorithm for simulating particles in true quasiperiodic environments ⋮ The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation ⋮ Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing ⋮ Fractional diffusion limits of non-classical transport equations ⋮ A spectral approach for solving the nonclassical transport equation ⋮ Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry ⋮ Statistical properties of Lorentz gases on aperiodic tilings, Part 1 ⋮ The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation ⋮ A Reciprocal Formulation of Nonexponential Radiative Transfer. 1: Sketch and Motivation

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