Anomalous diffusion in disordered multi-channel systems

Details Anomalous diffusion in disordered multi-channel systems Anomalous diffusion in disordered multi-channel systems

2010-01-06

arxiv.org/abs/1001.0841v1

J. Stat. Mech. P03012 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 7 figures

Scientific paper

We study diffusion of a particle in a system composed of K parallel channels, where the transition rates within the channels are quenched random variables whereas the inter-channel transition rate v is homogeneous. A variant of the strong disorder renormalization group method and Monte Carlo simulations are used. Generally, we observe anomalous diffusion, where the average distance travelled by the particle, []_{av}, has a power-law time-dependence []_{av} ~ t^{\mu_K(v)}, with a diffusion exponent 0 \le \mu_K(v) \le 1. In the presence of left-right symmetry of the distribution of random rates, the recurrent point of the multi-channel system is independent of K, and the diffusion exponent is found to increase with K and decrease with v. In the absence of this symmetry, the recurrent point may be shifted with K and the current can be reversed by varying the lane change rate v.

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