SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.15: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Generic partial barriers to chaotic transport in 4D symplectic maps — •Benjamin Hertzsch, Arnd Bäcker, and Roland Ketzmerick — TU Dresden, Institut für Theoretische Physik, Dresden, Germany

Chaotic transport in Hamiltonian systems is often restricted due to the presence of partial barriers, leading to a limited flux between different regions in phase phase. Typically, the most restrictive partial barrier in a 2D symplectic map is based on a cantorus, the Cantor set remnants of a broken 1D torus. Recently, for a weakly coupled 4D symplectic map, a partial barrier based on a normally hyperbolic invariant manifold with the structure of a cantorus has been established. We investigate how this can be extended to a generic 4D map, where the most restrictive partial barriers are expected to lie on the most irrational slopes between resonance channels in frequency space.

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