Scaling Limits, Hydrodynamics and Kinetic Numerical
Simulation of a Relaxation-Time Operator
Abstract
In this talk I will discuss different regimes for the
the linear relaxation time operator in 1-D in the parabolic band
approximation. We obtain different drift-diffusion type or hydrodynamic
systems depending on the scaling. We apply this analysis to approximate
numerically the kinetic system in two different n+-n-n+ devices. We show
comparisons of the results for different systems and we discuss the right
choice of the hydrodynamics codes for each case.
