Relaxation-time Operator: Asymptotic Limits and Simulation
Wednesday, May 24, 2000 - 2:30pm - 2:55pm
Jose Carrillo (The University of Texas at Austin)
In this talk I review some of the different asymptotics for the relaxation-time operator, proposed in the literature, from the numerical simulation point of view. By solving the kinetic equation in some model device, a n+-n-n+ diode, we study whether these different asymptotics take place in the channel and we compare the solution to the simulation of their corresponding macroscopic equation/s for each regime. Also, we show comparisons of relaxation-time kinetic system versus full Boltzmann-Poisson system solved by DSMC. We will discuss numerically the validity of this approximation.