Driven classical diffusion with strong correlated disorder.
For driven classical diffusion quenched by a strong potential disorder V(x), we identify a prominent crossover regime between the regimes of very small and very large driving forces F, where the corresponding mobility values mu (F) differ exponentially. For disorder with power-law correlations at large distances <V(x) (y) approximately |x - y|(-n), n > 0, the crossover is characterized by power-law dependence of the logarithm of mu (F) on the driving force ln mu (F) approximately F(n/(n + 1)). For finite-range disorder (formally, n = infinity), the corresponding dependence is linear ("logarithmic susceptibility").
Pryadko
Leonid P
LP
Department of Physics, University of California, Riverside, 92521, USA.
Lin
Jing-Xian
JX