The Boltzmann-Lorentz model for particles with spin. I: Exact results (Q1116799)

The simple kinetic model describing the propagation of particles with spin degrees of freedom through an array of magnetically active scatterers is introduced. The resulting Boltzmann-Lorentz nonlinear equation is solved for spatially homogeneous initial data. The spectral properties of the linearized operator are studied and the exact solution for arbitrary initial data is obtained. The various fluid dynamical limits are also considered.