Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.1: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Temporal flooding of regular islands — Arnd Bäcker, •Lars Bittrich, and Roland Ketzmerick — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

We investigate the time evolution of wave packets in systems with a mixed phase space where regular islands and chaotic motion coexist. If a wave packet is started in the chaotic sea, the weight on a quantized torus of the regular island increases with time until a saturation plateau is reached. We demonstrate this effect for the standard map. The saturation values vary from torus to torus with a maximum value corresponding to a uniform distribution of the wave packet. The complete transition can be quantitatively described in a universal way employing a random matrix model and regular-to-chaotic tunneling rates.