C. David Levermore, "Moment Closure Hierarchies for the Boltzmann-Poisson Equation", VLSI Design, vol. 6, Article ID 039370, 5 pages, 1998. https://doi.org/10.1155/1998/39370
Moment Closure Hierarchies for the Boltzmann-Poisson Equation
We outline a systematic nonperturbative derivation of a hierarchy of closed systems of moment equations that can be applied to any kinetic description of electrons in a semiconductor. This entropy based closure procedure extends one that was introduced in the context of gas dynamics. In the context of semiconductors, this procedure yields generalizations of socalled hydrodynamic models. It is illustrated on the semiclassical Boltzmann-Poisson equation for a single conduction band in the parabolic band approximation.
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