Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Nonlinear Dynamics II
DY 33.7: Vortrag
Freitag, 26. März 2010, 12:15–12:30, H46
Phase space focusing in dissipative driven elliptical billiards — Christoph Petri1, •Florian Lenz1, Fotis Diakonos2, and Peter Schmelcher1 — 1Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg — 2Department of Physics, University of Athens, GR-15771 Athens, Greece
It is known that the driven elliptical billiard exhibits Fermi acceleration. Here, we demonstrate that due to the introduction of dissipation the acceleration of an ensemble of particles is present during a transient regime only, asymptotically, the energy will saturate, even for very small dissipation rates. The saturation value can be tuned by adjusting the parameters of the system, like the dissipation rate, the driving amplitude or frequency, appropriately. The presence of dissipation causes the emergence of attractors and limit cycles on which the particles get focused in their evolution. By introducing surface roughness at certain regions of the elliptical boundary, specific attractors and limit cycles can be destroyed, thus allowing to populate for example just a single attractor of interest.