Solution of the Boltzmann transport equation in two real-space dimensions using a spherical harmonic expansion in momentum space

In this paper we present results obtained by solving the Boltzmann equation in two real space dimensions using a spherical harmonic expansion in momentum space. We show that if the coordinate system in momentum space is rotated to be aligned with the electric field then the magnitude of most of the harmonics can be assured to be small and thus they can be neglected without a significant loss of accuracy, which considerably reduces the complexity of the problem. Numerical results are presented for two dimensional structures in which flow occurs through both drift and diffusion.<
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