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Summary: T h e o p e n a c c e s s j o u r n a l f o r p h y s i c s
New Journal of Physics
Accelerating random walks by disorder
V V Belik1
and D Brockmann
Max Planck Institute for Dynamics and Self-Organization, 37073,
Bunsenstr. 10, Göttingen, Germany
E-mail: vitaly@nld.ds.mpg.de
New Journal of Physics 9 (2007) 54
Received 20 November 2006
Published 12 March 2007
Online at http://www.njp.org/
doi:10.1088/1367-2630/9/3/054
Abstract. We investigate the dynamic impact of heterogeneous environments
on superdiffusive random walks known as L´evy flights. We devote particular
attention to the relative weight of source and target locations on the rates for
spatial displacements of the random walk. Unlike ordinary random walks which
are slowed down for all values of the relative weight of source and target, non-local
superdiffusive processes show distinct regimes of attenuation and acceleration
for increased source and target weight, respectively. Consequently, spatial
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