It is known that the maximum entropy moment systems of the gas-dynamical Boltzmann equation suffer from severe disadvantages which are related to the non-solvability of an underlying maximum entropy moment problem unless restrictions on the choice of the macroscopic variables are made. In this article, we show that no such difficulties appear in the semiconductor case if Kane's dispersion relation is used for the energy band of electrons.

Maximum entropy moment system of the semiconductor Boltzmann equation using Kane’s dispersion relation

ROMANO, Vittorio
2005-01-01

Abstract

It is known that the maximum entropy moment systems of the gas-dynamical Boltzmann equation suffer from severe disadvantages which are related to the non-solvability of an underlying maximum entropy moment problem unless restrictions on the choice of the macroscopic variables are made. In this article, we show that no such difficulties appear in the semiconductor case if Kane's dispersion relation is used for the energy band of electrons.
2005
maximum entropy principle; Kane's dispersion relation; semiconductors
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/35432
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