Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 69: Poster: Quantum Systems
DY 69.17: Poster
Thursday, March 15, 2018, 15:30–18:00, Poster A
Power-law trapping in the volume-preserving Arnold-Beltrami-Childress map — •Swetamber Das1 and Arnd Bäcker1,2 — 1Max-Planck-Institut für Physik komplexer Systeme, Dresden — 2TU Dresden, Institut für Theoretische Physik, Dresden
While stickiness and power-law behavior of Poincaré recurrence statistics for two degree-of-freedom systems is well-understood, this remains to be an open problem for higher-dimensional systems. We study such trapping in the Arnold-Beltrami-Childress map which is an example of a three-dimensional volume-preserving system. If two action-like variables of the map are nearly conserved, the phase space displays tubular structures surrounded by a chaotic sea. Trapping occurs around these tubes and is investigated in phase space and frequency space to identify the underlying origin of stickiness and power-law trapping.