Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.26: Poster

Thursday, March 30, 2006, 16:00–18:00, P1

Anomalous transport in disordered iterated maps — •Andreas Fichtner and Günter Radons — Chemnitz University of Technology, 09107 Chemnitz

Anomalous diffusion is not only restricted to systems with many degrees of freedom. It is also observable in low dimensional systems such as random walks in random environments. Sinai diffusion characterizes a class of random walks for which the so called Golosov phenomenon was proven rigorously. We extend the Sinai model to random walks whose transitions are not restricted to nearest-neighbours. Thereby a vanishing global bias is guaranteed by a generalization of binary disorder.

For Sinai disorder exact results exist for the disorder averaged mean square displacement, the density of states of the propagator, and the size-dependence of the escape rate, or, the mean first passage time, respectively. For each of them one can define a characteristic exponent. We show that in our extension of the Sinai model these exponents depend in a non-trivial way on the system parameters. This is a consequence of the generic absence of detailed balance.