A kinetic collision operator of Landau type for Fermi-Dirac particles is considered. Equilibrium states are rigorously determined under minimal assumptions on the distribution function of the particles. The particular structure of the considered operator (strong non-linearity and degeneracy) requires a special investigation compared to the classical Boltzmann or Landau operator.
Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier - Toulouse 3, 118 route de Narbonne, F-31062 Toulouse Cedex 4, France
Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier - Toulouse 3, 118 route de Narbonne, F-31062 Toulouse Cedex 4, France