Sobolev Norm and Carrier Transport in Semiconductors

Tuesday, May 23, 2000 - 10:15am - 10:55am
Keller 3-180
Orazio Muscato (Università di Catania)
Simulation of charge transport has become a strategically important CAD tool for the semiconductor industry in the development of new technologies.

Due to the increasing miniaturization of the device, Monte Carlo simulations are necessary just on a small portion of the device where strong non-equilibrium phenomena occur; the large part of the the device is accurately described by macroscopic equations (such as drift-diffusion, hydrodynamic models).

In order to determine the domain of validity of the kinetic-macroscopic approaches, we need a criteria to determine whether the Monte Carlo particle ensemble is near enough to a Maxwellian-like distribution or not.

Sobolev Norms in Hs for s