MIP, Laboratoire CNRS (UMR 5640), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 04, France
ABSTRACT
This paper is devoted to the discretization and numerical simulation of a new quantum drift-diffusion model that was derived recently. We define an implicit numerical scheme that is equivalent to a convex minimization problem and that preserves the physical properties of the continuous model: charge conservation, positivity of the density and dissipation of an entropy. We illustrate these results with some numerical simulations.
Keywords:
Quantum hydrodynamic models; Quantum drift-diffusion