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28 March 2024
 
  » arxiv » cond-mat/0603505

 Article overview


Three-dimensional Lorentz model in a magnetic field : exact and Chapman-Enskog solutions
F. Cornu ; J. Piasecki ; PostScript ; PDF ; Other formats ;
Date 20 Mar 2006
Subject Statistical Mechanics
AbstractWe 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.
Source arXiv, cond-mat/0603505
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