This paper presents a semicontinuous version of the Bloch-BoltzmannPeierls equations describing the kinetics of a coupled electron-phonon system in polar semiconductors. The model equations are specialized to the case of spherically symmetric dispersion relations and transition rates. Detailed numerical studies of the relaxation process of an electron gas interacting with polar-optical and acoustic phonons are performed. The results are compared with calculations carried out on the level of quasi-hydrodynamic transport models concerning the phonon system.

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