Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.53: Poster

Thursday, March 14, 2013, 17:00–19:00, Poster C

Individual Fractal Weyl Laws in Systems with a Mixed Phase Space — •Martin Körber^1,2, Matthias Michler¹, Arnd Bäcker^1,2, and Roland Ketzmerick^1,2 — ¹Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — ²Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany

In open chaotic systems the number of long-lived states is expected to obey a fractal Weyl law, with the exponent being associated to the fractal dimension of the repeller. For generic open systems with a mixed phase space we demonstrate that there is not just one fractal Weyl law but individual ones. They correspond to states localizing on different regions of the hierarchical phase space. This is illustrated for a designed Markov chain model and the standard map.