Regensburg 2016 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 26: Poster - Quanten Systems
DY 26.1: Poster
Dienstag, 8. März 2016, 18:15–21:00, Poster C
What is the origin of power-law trapping in 4D maps? — •Steffen Lange1, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
While power-law trapping in 2D maps can be explained by a hierarchy of partial transport barriers, its origin in higher dimensional maps is still an open question. We study 4D symplectic maps with a regular region embedded in a large chaotic sea. Chaotic orbits are trapped in the vicinity of the regular region and show a power-law decay of trapping times. We search for the trapping mechanism by visualizing the trapped orbits in 3D phase-space slices [1] and by analyzing their time-dependent frequencies. While a hierarchy of regular regions similar to 2D maps is known to be present [2] and surprisingly also signatures of partial barriers are detected, these do not explain the observed trapping in 4D maps. Instead, a stochastic process including a drift along the resonance channels is conjectured to be the origin of the power-law trapping.
[1] M. Richter, S. Lange, A. Bäcker, and R. Ketzmerick, Visualization and comparison of classical structures and quantum states of four-dimensional maps, Phys. Rev. E 89, 022902 (2014)
[2] S. Lange, M. Richter, F. Onken, A. Bäcker and R. Ketzmerick, Global structure of regular tori in a generic 4D symplectic map, Chaos 24, 024409 (2014)