DPG Phi
Verhandlungen
Verhandlungen
DPG

Berlin 2024 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

DY: Fachverband Dynamik und Statistische Physik

DY 47: Quantum Chaos and Coherent Dynamics (joint session DY/TT)

DY 47.5: Talk

Thursday, March 21, 2024, 16:00–16:15, A 151

Chaotic escape dynamics in the vicinity of hyperbolic fixed points — •Alexander Hempel, Jonas Stöber, and Arnd Bäcker — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

For an ensemble of orbits started in the vicinity of a hyperbolic fixed point in the area-preserving standard map, we find a slow, non-exponential decay of the survival probability. We show that this is governed by the stable and unstable manifolds which form a partial barrier enclosing a resonance zone. The re-entrance of orbits into the resonance zone and the statistics of transit times leads to a simple model, which explains the initial decay of the survival probability. Furthermore we briefly discuss quantum mechanical consequences.

Keywords: chaotic escape; partial barriers; homoclinic tangle; lobe dynamics

100% | Mobile Layout | Deutsche Version | Contact/Imprint/Privacy
DPG-Physik > DPG-Verhandlungen > 2024 > Berlin