Three-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions
Statistical Mechanics
2009-11-11 v2
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0603505,
title = {Three-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions},
author = {F. Cornu and J. Piasecki},
journal= {arXiv preprint arXiv:cond-mat/0603505},
year = {2009}
}