Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979684 | Physica A: Statistical Mechanics and its Applications | 2006 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
F. Cornu, J. Piasecki,