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Moment Closure Hierarchies for the Boltzmann-Poisson Equation

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 …