Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Poster II

DY 27.2: Poster

Thursday, March 26, 2009, 16:00–18:00, P1B

Hamiltonian dynamics with a disordered one-dimensional kick-potential — •Ines Hartwig and Günter Radons — Technische Universität Chemnitz, Chemnitz, Germany

We substitute the cosine-potential of the well-known Chirikov-Taylor standard map with a one-dimensional analytic potential with disorder. The potential is made periodic, thus introducing a fundamental cell in phase space. Island structures in typical Poincaré surfaces of section are shown to differ from the standard map. Statistics of transport characteristics computed numerically include : fractions of particles escaping the fundamental cell, distributions of critical perturbation amplitudes for the breaking of the last KAM-tori and transport exponents in both the momentum and the coordinate direction. Transport is shown to increase with increasing period of the potential, depending on the distribution of the potential.