Format

Send to

Choose Destination
Phys Rev Lett. 2003 May 2;90(17):170601. Epub 2003 Apr 28.

Lévy flights in inhomogeneous media.

Author information

1
Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, Göttingen, Germany.

Abstract

We investigate the impact of external periodic potentials on superdiffusive random walks known as Lévy flights and show that even strongly superdiffusive transport is substantially affected by the external field. Unlike ordinary random walks, Lévy flights are surprisingly sensitive to the shape of the potential while their asymptotic behavior ceases to depend on the Lévy index mu. Our analysis is based on a novel generalization of the Fokker-Planck equation suitable for systems in thermal equilibrium. Thus, the results presented are applicable to the large class of situations in which superdiffusion is caused by topological complexity, such as diffusion on folded polymers and scale-free networks.

Supplemental Content

Full text links

Icon for American Physical Society
Loading ...
Support Center