This book summarizes the research of more than a decade. Its early
motivation dates back to the eighties and to the memorable talks Dr. C.
Moglestue (FHG Freiburg) gave on his Monte-Carlo solutions of the
Boltzmann transport equation at the NASECODE conferences in Ireland. At
that time numerical semiconductor device modeling basically implied the
application of the drift-diffusion model. On the one hand, those talks
clearly showed the potential of the Monte-Carlo model for an accurate
description of many important transport issues that cannot adequately be
addressed by the drift-diffusion approximation. On the other hand, they
also clearly demonstrated that at that time only very few experts were
able to extract useful results from a Monte-Carlo simulator. With this
background, Monte-Carlo research activities were started in 1986 at the
University of Aachen (RWTH Aachen), Germany. Different to many other
Monte-Carlo research groups, the Monte-Carlo research in Aachen took
place in an environment of active drift-diffusion and hydrodynamic model
development.