Dresden 2009 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Poster II
DY 27.14: Poster
Donnerstag, 26. März 2009, 16:00–18:00, P1B
Occurrence of normal and anomalous diffusion in the time-dependent elliptical billiard — •Christoph Petri1, Florian Lenz1, Florian Koch1, 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 study the phase space topology of two dimensional driven billiards and its impact on diffusion processes. In this respect, the time-dependent ellipse is extraordinary, because it is so far the only known system, which exhibits Fermi acceleration, although the static counterpart is integrable. Depending on the driving mode we find either anomalous or normal diffusion in momentum space, which is due to the different structure of the underlying four dimensional phase space. For a certain class of modes there is actually a crossover from initially amplitude dependent sub- to asymptotically universal normal diffusion. Furthermore we can make the acceleration process saturate by introducing friction into the system.