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Author Juhász, R. ♦ Iglói, F.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-01-06
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword Condensed Matter - Disordered Systems and Neural Networks ♦ physics:cond-mat
Abstract 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, [<x(t)>]_{av}, has a power-law time-dependence [<x(t)>]_{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.
Description Reference: J. Stat. Mech. P03012 (2010)
Educational Use Research
Learning Resource Type Article
Page Count 16


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