Naslov
Numerical approximation of quantum macroscopic models
(Numerical approximation of quantum hydrodynamic models)

Autori
Milišić, Josipa Pina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Multiscale Problems in Quantum Mechanics and Averaging Technics

Mjesto i datum
Berlin, Njemačka, 22.09.2005. - 23.09.2005

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
quantum macroscopic models; moment method; finite differences

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA