Driven classical diffusion with strong correlated disorder

Details Driven classical diffusion with strong correlated disorder Driven classical diffusion with strong correlated disorder

2004-08-25

arxiv.org/abs/cond-mat/0408544v1

Phys. Rev. E 72, 011108 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures included

Scientific paper

10.1103/PhysRevE.72.011108

We analyze one-dimensional motion of an overdamped classical particle in the presence of external disorder potential and an arbitrary driving force F. In thermodynamical limit the effective force-dependent mobility mu(F) is self-averaging, although the required system size may be exponentially large for strong disorder. We calculate the mobility mu(F) exactly, generalizing the known results in linear response (weak driving force) and the perturbation theory in powers of the disorder amplitude. For a strong disorder potential with power-law correlations we identify a non-linear regime with a prominent power-law dependence of the logarithm of mu(F) on the driving force.

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