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DY: Fachverband Dynamik und Statistische Physik
DY 40: Poster - Quantum Systems/ Stat. Phys./ Diffusive Process
DY 40.2: Poster
Donnerstag, 3. April 2014, 17:00–19:00, P3
Trapping of chaotic orbits in 4D symplectic maps — •Steffen Lange1,2, Martin Richter1,2, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — 2Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
Generic Hamiltonian systems with more than two degrees of freedom lead to chaotic zones in phase space which are all interconnected by the Arnol’d web. We study 4D symplectic maps with a regular region embedded in a large chaotic sea, i.e., far away from the near-integrable regime. Chaotic orbits are trapped in the vicinity of the regular region and show a power-law decay of survival times. We search for the trapping mechanism by visualizing the trapped orbits in 3D phase-space slices of the 4D phase space and analyzing their time-dependent frequencies. We find that the underlying mechanism is clearly different from trapping in 2D maps and not related to the Arnol’d web. Instead, an anisotropic diffusion near the surface of the regular region is observed. In this surface region the chaotic orbits are frequently trapped at different resonances.