Deterministic particle simulations of the Boltzmann transport equation of semiconductors
For the simulation of the Boltzmann transport equation of semi- conductors, the authors treat the collision integral in a deterministic way. The paper starts with a general presentation of the kinetic model of semiconductors. The collision operator is simplified by neglecting the Pauli factor. The method is restricted to the homogeneous field case. A brief outline of the numerical analysis of the method is given. This illustrates the numerical tests in the case of relaxation time models, which are expressed in terms of the Maxwell distribution for the lattice temperature. Polar optimal scattering, which describes the collisions between electrons and photons, and its simplified one-dimensional relaxation time model are investigated. The same analysis is performed for the intervalley scattering.
scientific article; zbMATH DE number 4082929
scientific article