Diffusive Limit for the Random Lorentz Gas

DOI10.1007/978-3-319-16637-7_10zbMath1318.35127arXiv1410.3765OpenAlexW1524471587WikidataQ59197294 ScholiaQ59197294MaRDI QIDQ5255998

Alessia Nota

Publication date: 22 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3765

zbMATH Keywords

diffusionheat equationLorentz gaslow density limitlinear Boltzmann equationlinear Landau equationdiffusion limitFick's lawweak-coupling limitGreen- Kubo

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) PDEs in connection with statistical mechanics (35Q82)

Related Items (5)

Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit ⋮ 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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