Regensburg 2016 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Quantum Chaos
DY 41.3: Talk
Wednesday, March 9, 2016, 15:45–16:00, H48
Chaotic transport in resonance channels in 4D maps — •Franziska Onken1, 2, Steffen Lange1, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
The dynamics of Hamiltonian systems (e.g., planetary motion, electron dynamics in nano-structures, chemical reactions) can be understood by studying the corresponding symplectic Poincaré maps. A central new feature in higher-dimensional systems is the transport in resonance channels. While such channels are usually investigated in frequency space, we visualize the relevant invariant objects in phase space revealing a highly non-trivial geometry. It is governed by families of elliptic and hyperbolic 1D-tori together with their stable and unstable manifolds. This provides a visualization of a turnstile in higher dimensions which allows for the escape from the channel.