C. Schmeiser et A. Zwirchmayr, ELASTIC AND DRIFT-DIFFUSION LIMITS OF ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS, Mathematical models and methods in applied sciences, 8(1), 1998, pp. 37-53
This paper deals with electron transport in semiconductors when electr
on-phonon interaction is considered. Smallness of the mean free path c
ompared to a characteristic length scale and of the phonon energy comp
ared to the thermal energy of the crystal are assumed. The correspondi
ng limits in the transport problem are carried out and shown not to co
mmute. An intermediate limit leads to a new macroscopic model.