Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors

Abstract

The limit of the vanishing Debye length (the charge neutral limit) in a non-linear bipolar drift-diffusion model for semiconductors without a pn-junction (i.e., with a unipolar background charge) is studied. The quasi-neutral limit (zero-Debye-length limit) is determined rigorously by using the so-called entropy functional which yields appropriate uniform estimates. © 2002 Elsevier Science (USA).