On the diffusion limit of a semiconductor boltzmann-poisson system without micro-reversible process

Nader Masmoudi; Mohamed Lazhar Tayeb

doi:10.1080/03605302.2010.483659

On the diffusion limit of a semiconductor boltzmann-poisson system without micro-reversible process

Nader Masmoudi, Mohamed Lazhar Tayeb

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the diffusion approximation of a semiconductor Boltzmann- Poisson 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 [11], to the multi- dimensional case.

Original language	English (US)
Pages (from-to)	1163-1175
Number of pages	13
Journal	Communications in Partial Differential Equations
Volume	35
Issue number	7
DOIs	https://doi.org/10.1080/03605302.2010.483659
State	Published - 2010

Keywords

Boltzmann-poisson
Detailed balance
Diffusion approximation
Entropy dissipation
Fermi-dirac
Hybrid-hilbert expansion
Semiconductor

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605302.2010.483659

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abstract = "This paper deals with the diffusion approximation of a semiconductor Boltzmann- Poisson 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 [11], to the multi- dimensional case.",

keywords = "Boltzmann-poisson, Detailed balance, Diffusion approximation, Entropy dissipation, Fermi-dirac, Hybrid-hilbert expansion, Semiconductor",

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KW - Detailed balance

KW - Diffusion approximation

KW - Entropy dissipation

KW - Fermi-dirac

KW - Hybrid-hilbert expansion

KW - Semiconductor

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On the diffusion limit of a semiconductor boltzmann-poisson system without micro-reversible process

Abstract

Keywords

ASJC Scopus subject areas

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