%0 Journal Article
%T A BGK type approximation for the collision operator of the transport equation for semiconductors
%A Giovanni Mascali
%J Le Matematiche
%D 2000
%I University of Catania
%X In the attempt of obtaining macroscopic models which describe the flow of electrons through a semiconductor crystal, many authors start from the Boltzmann transport equation, often using a generalized BGK type approximation for the collision operator. In this work, by means of this approximation, we shall show that it is possible to obtain a new drift-diffusion equation valid in the high electric field regime.
%K Boltzmann equation
%K Chapman-Enskog expansion
%K drift-diffusion equation
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/265