On the Diffusion Limit of a Semiconductor Boltzmann–Poisson System Without Micro-Reversible Process

DOI10.1080/03605302.2010.483659zbMath1200.82055OpenAlexW2044668941MaRDI QIDQ4933515

Mohamed Lazhar Tayeb, Nader Masmoudi

Publication date: 14 October 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2010.483659

zbMATH Keywords

diffusion approximationplasma physicsentropy dissipationdetailed balanceFermi-Dirac statisticssemiconductor theoryBoltzmann-Poisson system of equationshybrid-Hilbert expansion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Measures of information, entropy (94A17) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (5)

Homogenized diffusion limit of a Vlasov-Poisson-Fokker-Planck model ⋮ Homogenization and Hydrodynamic Limit for Fermi-Dirac Statistics Coupled to a Poisson Equation ⋮ Homogenization of a spherical harmonics expansion model ⋮ Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model ⋮ Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting

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