APPROXIMATE ANALYTICAL SOLUTION OF THE NONLINEAR BOLTZMANN-EQUATION WITH AN ELECTRON-ELECTRON INTERACTION

The nonlinear Boltzmannn equation in which electron-electron interactions are taken into account and in the presence of an electric field is solved by an iterative strongly convergent procedure starting from the linearized solution. The numerical calculations are interpolated so as to have an explicit analytical Fokker-Planck equation whose steady-state solution is of the kind of a Chapman-Cowling-Davydov expression. The analytical solution is useful to treat the long time tails of the distribution function which would demand 10(7) years of calculation by a Monte Carlo method.