Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.13: Poster

Thursday, March 19, 2020, 15:00–18:00, P1A

Partial transport barriers in 4D symplectic maps — •Markus Firmbach¹, Arnd Bäcker^{1, 2}, and Roland Ketzmerick^{1, 2} — ¹TU Dresden, Institut für Theoretische Physik — ²MPI für Physik komplexer Systeme, Dresden

The transport across partial barriers in systems with a higher-dimensional phase space is of great interest for physical applications as well as from a conceptual point of view. We consider the 4D standard map and construct partial transport barriers of co-dimension one which are based on invariant objects in phase space, namely families of periodic one-tori. We compute the 4D flux across these partial barriers by volume- and transport measurements. This agrees with a flux formula using just the invariant objects.