Equilibrium solutions of the non-linear Boltzmann equation for an electron gas in a semiconductor

Summary

We study the collision operator of the non-linear Boltzmann equation describing the electron flow in a semiconductor under the assumption of electron-phonon interaction processes. We establish anH-theorem and prove the existence of an infinite number of equilibrium functions in addition to the Fermi-Dirac distribution. The meaning of the corresponding collision invariants is shown to derive from the nature of the electron-phonon scattering.