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

Nader Masmoudi, Mohamed Lazhar Tayeb

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1163-1175
Number of pages13
JournalCommunications in Partial Differential Equations
Volume35
Issue number7
DOIs
StatePublished - 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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