Berlin 2005 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 43: Einstein Symposium Brownian Motion, Diffusion and Beyond (SYBM) – Contributed Talks I

DY 43.8: Vortrag

Dienstag, 8. März 2005, 16:15–16:30, TU H2032

Disordered iterated maps: Spectral properties, escape rates and anomalous transport — •Günter Radons and Andreas Fichtner — Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany

We investigate the transport properties of simple iterated maps with quenched disorder. The dynamics of these systems is mapped to random walks in random environments with next-nearest neighbour transitions, constituting generalisations of the well-known Sinai model. The non-equilibrium properties are studied numerically by a direct observation of the transport behaviour, by investigating the density of states of the propagator, and by considering the system-size dependence of the escape rate. Characteristic exponents associated with each of these quantities are determined and their dependence on the system parameters is evaluated. We find anomalously slow behaviour which in general deviates from the Sinai case and therefore generalises the latter.