Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 23: Quantum Chaos
DY 23.5: Vortrag
Dienstag, 13. März 2018, 11:15–11:30, EB 107
3D billiards: visualization of regular structures and trapping of chaotic trajectories — •Markus Firmbach1,2, Steffen Lange1, Roland Ketzmerick1,2, and Arnd Bäcker1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
Billiard systems, in which a point particle moves freely within some domain and undergoes elastic reflections at the boundary, play an important role in many area of physics, e.g. for optical microcavities. The phase-space of 2D billiards is easily displayed on a 2D Poincaré section. In contrast, 3D billiards lead to a 4D Poincaré map which is challenging to visualize. By means of the recently introduced 3D phase-space slices an intuitive representation of the organization of the mixed phase-space with regular and chaotic dynamics is obtained. Of particular interest for applications are constraints to classical transport between different regions of phase-space which can be detected by the statistics of Poincaré recurrence times. For a specific example of a 3D billiard we observe a slow power-law decay caused by long-trapped trajectories whose origin is analyzed in phase-space and frequency-space.