Three-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions

Details Three-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions Three-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions

2006-03-20

arxiv.org/abs/cond-mat/0603505v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2006.04.015

We derive the exact solution of the Boltzmann kinetic equation for the three-dimensional Lorentz model in the presence of a constant and uniform magnetic field. The velocity distribution of the electrons reduces exponentially fast to its spherically symmetric component. In the long time hydrodynamic limit there remains only the diffusion process governed by an anisotropic diffusion tensor. The systematic way of building the Chapman-Enskog solutions is described.

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