Abstract
We consider Lévy flights characterized by the step index in a quenched isotropic short-range random force field to one loop order. By means of a dynamic renormalization group analysis, we find that the dynamic exponent for locks onto , independent of dimension and independent of the presence of weak quenched disorder. The critical dimension for is given by . For the disorder is relevant, corresponding to a nontrivial fixed point for the force correlation function. We also discuss the behavior of the subleading diffusive term.
- Received 2 February 1994
DOI:https://doi.org/10.1103/PhysRevLett.73.2517
©1994 American Physical Society