Diffusion Limit of a Semiconductor Boltzmann–Poisson System
✍ Scribed by Masmoudi, Nader; Tayeb, Mohamed Lazhar
- Book ID
- 118197572
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 241 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0036-1410
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The Boltzmann equation describing electron flow in semiconductor devices is considered. The collision operator models the scattering processes between free electrons and phonons in thermal equilibrium. The doping profile and the self-consistent electric field are related by the Poisson equation. The
## Communicated by P. A. Markowich Abstract--We consider the Boltzmann-Poisson system for electrons in a semiconductor in the case of high fields and small devices. We discuss closures of moment equations and boundary conditions for both the distribution function and the moments.