Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Nonlinear Dynamics II
DY 26.3: Vortrag
Mittwoch, 16. März 2011, 17:00–17:15, ZEU 255
Leaking chaotic systems — •Jefferson S. E. Portela1, Eduardo G. Altmann1, and Tamás Tél2 — 1Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany — 2Institute for Theoretical Physics, Eötvös University, Pázmány P. s. 1/A, Budapest, H–1117, Hungary
A large class of problems have been addressed by relating the properties of a closed dynamical system, where the main dynamical properties are well defined asymptotically in time, to the relevant properties of its open, leaked counterpart, where typically all trajectories eventually escape and the relevant quantities are dependent on the escape procedure, as described by transient chaos theory.
Using a billiard – a system of point particles moving freely inside a bounded area and colliding specularly with its boundary – we illustrate the effects of a leak, emphasizing the dependence of the orbits decay on the leak characteristics.
Billiards model a number of relevant physical systems, such as optical microcavities and wave/quantum-chaos systems, and also are, due to their symmetries, particularly convenient for numerical simulation and visualization purposes. We consider the family of Robnik billiards, defined by limaçon curves (ρ(φ) = 1 + ε cos(φ), in polar coordinates), which has already been extensively studied in both its classical and quantum versions.