Vorträge und Posterpräsentationen (ohne Tagungsband-Eintrag):
A. Jüngel:
"Challenges in quantum semiconductor device modeling and simulation";
Vortrag: Distinguished AppliedMathematics Lecture, 09 . - 13. 01. 2012,
Hsinchu, Taiwan (eingeladen);
21.02.2012.
Kurzfassung englisch:
The microelectronics industry is heavily based on the construction of faster, smaller, and more efficient semiconductor devices. Quantum semiconductor structures might fulfill these requirements also in the future. In this talk, some modeling and simulation approaches for quantum semiconducturs will be presented.
First, quantum Navier-Stokes equations will be introduced. This model has a surprising nonlinear structure and possesses two different energy functionals. It is shown how this structure can be used to derive global existence results, and a connection to "Noether symmetries" in a Lagrangian mechanics framework is highlighted.
Second, transient numerical simulations of a 3-D quantum waveguide are presented, based on a time-splitting pseudo-spectral approximation of the Schroedinger-equation. Furthermore, self-induced oscillations of a tunneling diode in a small electric circuit are shown.
Schlagworte:
Quantum semiconductors, quantum diffusion, Navier-Stokes equations
Elektronische Version der Publikation:
http://publik.tuwien.ac.at/files/PubDat_207749.pdf
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.