Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

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.