Affiliation:
1. Fachbereich Physik, Martin-Luther-Universität, Halle D-06099, Germany
Abstract
We consider the random walk in a d-dimensional environment with positionally random drift forces obeying power law correlations ~ |x|-a for large distances x. This model is studied using a renormalization group expansion in ε = 2 - d, δ = 2-a. We find a new long-range fixed point in addition to the short range correlation and the pure fixed points found previously. The new fixed point is stable for δ > 2ε, δ > 0 and it leads to a subdiffusive long-time behavior with dynamical critical exponent z = 2 + (1/2) δ2.
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics