RELAXATION-TIME APPROXIMATION FOR ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS

Authors
MARKOWICH PA SCHMEISER C
Citation
Pa. Markowich et C. Schmeiser, RELAXATION-TIME APPROXIMATION FOR ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS, Mathematical models and methods in applied sciences, 5(4), 1995, pp. 519-527
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
5
Issue
4
Year of publication
1995
Pages
519 - 527
Database
ISI
SICI code
0218-2025(1995)5:4<519:RAFEII>2.0.ZU;2-1
Abstract
A Boltzmann equation for semiconductors is considered. Physical assump tions include the parabolic band approximation and a new relaxation ti me model for electron-phonon interaction. Thermal equilibrium distribu tions for this scattering mechanism are products of Maxwellian distrib utions with periodic functions of the energy, where the period is the energy of a phonon. The hydrodynamic limit is considered and a drift-d iffusion model is derived by formal asymptotic methods.