Home  /  Le Matematiche  /  Vol: 53 Núm: 2 Par: 0 (1998)  /  Article
ARTICLE
TITLE

Spherical-harmonic type expansion for the Boltzmann equation in semiconductor devices

SUMMARY

The Boltzmann equation for an electron gas in a semiconductor is considered. The electron energy is assumed to have a very general form, so that, for instance, parabolic or non parabolic band approximations can be treated. A technique, which recalls the classical moment method due to Grad, to deduce an approximate quasi-hydrodynamical model is shown and compared with the spherical harmonic expansion. Some characteristics of the model, as entropy inequality, are explicitly presented.

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