Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals

DOI10.1093/amrx/abv004zbMath1332.82087arXiv1502.04134OpenAlexW1944301276MaRDI QIDQ3451335

Andreas Strömbergsson, Jens Marklof

Publication date: 16 November 2015

Published in: Applied Mathematics Research eXpress (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04134

zbMATH Keywords

Boltzmann equationtransport equationpolycrystalsparticle transportfree path lengthsrandom point process

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Boltzmann equations (35Q20)

Related Items (5)

Kinetic Theory for the Low-Density Lorentz Gas ⋮ The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation ⋮ The Lorentz gas with a nearly periodic distribution of scatterers ⋮ 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

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