Lévy flights in random environments

1994/01/04 by Hans C. Fogedby · 1 citation
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevlett.73.2517

12 pages, Latex file, IFA-94/02

arxiv created 1994/01/04 · arxiv updated 2009/11/30

Abstract

We consider Lévy flights characterized by the step index f in a quenched random force field. By means of a dynamic renormalization group analysis we find that the dynamic exponent z for f<2 locks onto f, independent of dimension and \em independent of the presence of weak quenched disorder. The critical dimension, however, depends on the step index f for f<2 and is given by d_c=2f-2. For d<d_c the disorder is \em relevant, corresponding to a non trivial fixed point for the force correlation function.

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