Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 53: Poster Quantum Systems
DY 53.5: Poster
Donnerstag, 4. April 2019, 15:00–18:00, Poster B2
Stickiness in the volume-preserving Arnold-Beltrami-Childress map — •Swetamber Das1 and Arnd Bäcker1, 2 — 1Max-Planck-Institut für Physik komplexer Systeme, Dresden — 2Technische Universität Dresden, Institut für Theoretische Physik, Dresden
Stickiness and power-law behavior of Poincaré recurrence statistics for higher-dimensional systems is still unexplained, while for systems for two degree-of-freedom, the mechanism is fairly well understood. We study such intermittent behavior of chaotic trajectories in three-dimensional volume-preserving systems using the example of the Arnold-Beltrami-Childress map. If two action-like variables of the map are nearly conserved, the phase space displays tubular regular structures surrounded by a chaotic sea. Stickiness occurs around these tubes and manifestations of partial barriers to transport are observed. We investigate this dynamics in phase space and in frequency space to identify the underlying origin of stickiness.