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Phys. Rev. E 72, 011108 (2005) [4 pages]

Driven classical diffusion with strong correlated disorder

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Leonid P. Pryadko and Jing-Xian Lin
Department of Physics, University of California, Riverside, California 92521, USA

Received 25 August 2004; revised 18 May 2005; published 19 July 2005

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 μ(F) differ exponentially. For disorder with power-law correlations at large distances V(x)V(y)⟩∼∣xynn>0, the crossover is characterized by power-law dependence of the logarithm of μ(F) on the driving force ln μ(F)∼Fn∕(n+1). For finite-range disorder (formally, n=), the corresponding dependence is linear (“logarithmic susceptibility”).

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.011108
DOI:
10.1103/PhysRevE.72.011108
PACS:
05.40.Jc, 72.20.Ht, 72.80.Ng