From the Liouville equation to the generalized Boltzmann equation for magnetotransport in the 2D Lorentz model

DOI10.1023/A:1004880010020zbMath0990.82021arXivcond-mat/9903235OpenAlexW2593367449MaRDI QIDQ5942283

E. Hiis Hauge, Jaroslaw Piasecki, Alexander V. Bobylev, Alex Hansen

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9903235

zbMATH Keywords

kinetic equationLiouville equationmagnetotransport Lorentz modelnon-Markoviansystem of non-interacting charged particles

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (9)

Einstein relation for electrons in an electric field ⋮ Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field ⋮ Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit ⋮ Magnetotransport in the two-dimensional Lorentz model: non-markovian Grad limit of the BBGKY hierarchy ⋮ Kinetic Theory for the Low-Density Lorentz Gas ⋮ Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. ⋮ 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 ⋮ Collisionless propagation in the Lorentz model: solution of the virtual BBGKY hierarchy

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