Dissipative Moment Methods for the Semi - Classical Boltzmann
Equation in the non - Equilibrium RegimE
Abstract
Moment closure methods represent an attractive alternative to
full Direct Monte Carlo (DMC) simulations of the Boltzmann equation.
If the closure is chosen in such a way that entropy principles are
preserved the Boltzmann equation is then replaced by a first order
hyperbolic system of conservation laws in physical space.
In this talk we discuss the general structure of dissipative moment
closures and present a class of closures satisfying the entropy
principles for the (linear) semiconductor Boltzmann equation. While
these methods yield excellent results relatively close to the
equilibrium regime, they exhibit severe problems in the presence
of strong external forces. We will give a possible reason for
this problem and discuss possible solutions.
