Diffusion approximation of nonlinear electron phonon collision mechanisms

DOI10.1051/m2an/1995290708571zbMath0840.45011OpenAlexW2524690853MaRDI QIDQ4866668

Christian Schmeiser, Peter Alexander Markowich, Frederic Poupaud

Publication date: 26 February 1996

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193794

zbMATH Keywords

Boltzmann equationcollision operatorssolid state physicsFermi-Dirac distributionfluid limitmean free pathdrift diffusion modelnonlinear electron phonon collision mechanisms

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Statistical mechanics of solids (82D20)

Related Items (7)

MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY ⋮ DIFFUSION AND HOMOGENIZATION APPROXIMATION FOR SEMICONDUCTOR BOLTZMANN–POISSON SYSTEM ⋮ Macroscopic approximation of a Fermi-Dirac statistics: Unbounded velocity space setting ⋮ Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes ⋮ Diffusion limit of a Boltzmann–Poisson system with nonlinear equilibrium state ⋮ An energy-transport model for semiconductors derived from the Boltzmann equation. ⋮ The linear Boltzmann equation with inelastic scattering

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Charge transport in semiconductors with degeneracy effects
• Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors

This page was built for publication: Diffusion approximation of nonlinear electron phonon collision mechanisms