Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 69: Poster: Quantum Systems
DY 69.9: Poster
Donnerstag, 15. März 2018, 15:30–18:00, Poster A
Transport along resonance channels in 4D symplectic maps — •Martin Langer1, Roland Ketzmerick1,2 und Arnd Bäcker1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden, Germany — 2MPI für Physik komplexer Systeme, Dresden, Germany
A distinctive new feature of higher-dimensional systems is the possibility of Arnold diffusion, i.e. chaotic regions in phase space are all interconnected by the Arnold web. We study a designed 4D symplectic map with a regular region embedded in a chaotic sea, i.e. far away from the integrable regime. The model allows for generating specific resonance structures and shows a considerable drift of orbits in the chaotic region near these resonances. We investigate transport phenomena of ensembles of chaotic orbits in the vicinity of these resonances using 3D phase-space slices, frequency analysis, survival time plots, and chaos indicators.