Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Poster II
DY 27.13: Poster
Thursday, March 26, 2009, 16:00–18:00, P1B
Dynamical trapping and chaotic scattering of the harmonically driven barrier — •Florian Koch1, Florian Lenz1, Christoph Petri1, Fotis Diakonos3, and Peter Schmelcher1,2 — 1Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany — 2Theoretische Chemie, Institut für Physikalische Chemie, Universität Heidelberg, INF 229, 69120 Heidelberg, Germany — 3Department of Physics, University of Athens, GR-15771 Athens, Greece
We provide a detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position. The system exhibits dynamical trapping which is associated with the existence of a stable island in phase space. Due to the unstable periodic orbits of the KAM structure, the driven barrier is a chaotic scatterer and shows stickiness of scattering trajectories in the vicinity of the stable island. The transmission function of a suitably prepared ensemble yields results which are very similar to tunneling resonances in the quantum mechanical regime.