Abstract
We present a class of numerical methods for the semiconductor Boltzmann Poisson problem in the case of spherical band energies. The methods are based on spherical harmonics expansions in the wave vector and difference discretizations in space-time. The resulting class of approximate solutions dissipate a certain type of entropy.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 431-452 |
| Number of pages | 22 |
| Journal | Transport Theory and Statistical Physics |
| Volume | 31 |
| Issue number | 4-6 |
| DOIs | |
| State | Published - Jan 1 2002 |
Keywords
- Boltzmann equation
- Finite differences
- Galerkin methods
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- Physics and Astronomy(all)
- Applied Mathematics