4.4.1 Solution of the Zeroth Order Equation

To solve the nonlinear Boltzmann equation including the Pauli exclusion principle Monte Carlo algorithms based on a rejection technique have been developed by Bosi and Jacoboni [82] and later by Lugli and Ferry [83]. The first algorithm is adopted in this work to solve the zeroth order equation. In what follows it is shown that this algorithm can also be used to generate the initial distributions $G^{+}$ and $G^{-}$ of the two carrier ensembles which appear when solving the first order equation. The normalization of the stationary distribution required for the correct rejection is presented.
S. Smirnov: