engleski

Numerical approximation of quantum hydrodynamic models

Due to the growing field of nanotechnology applications, mathematical modeling and simulation of charge transport in semiconductors is today a challenging research area. In order to achieve the efficient fabrication of the electronic devices, it is important to derive quantum models which are physically accurate as well as computationally feasible. The quantum hydrodynamic models seem to fulfill these requests. In this talk, extended quantum hydrodynamic model will be derived from a Wigner equation including collision terms of Fokker-Planck or BGK-type. These models differ from the usual one by additional (viscous, vorticity etc.) terms taking into account the collisional effects. Finally, we present some numerical results for a one-dimensional resonant tunneling diode.

quantum macroscopic models; moment method; finite differences

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