On the Diffusion limit of a semiconductor Boltzmann-Poisson system without micro-reversible process
نویسندگان
چکیده
This paper deals with the diffusion approximation of a semiconductor BoltzmannPoisson system. The statistics of collisions we are considering here, is the Fermi-Dirac operator with the Pauli exclusion term and without the detailed balance principle. Our study generalizes, the result of Goudon and Mellet [14], to the multi-dimensional case. keywords: Semiconductor, Boltzmann-Poisson, diffusion approximation, Fermi-Dirac, detailed balance, Hybrid-Hilbert expansion, entropy dissipation.
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