Anomalous diffusion in disordered multi-channel systems

Róbert Juhász, Ferenc Iglói

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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 traveled by the particle, [〈x(t)〉]av, has a power-law time dependence [〈x(t)〉]av ∼ tμK(v), with a diffusion exponent 0 ≤ μK(v) ≤ 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.

Original languageEnglish
Article numberP03012
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number3
Publication statusPublished - Apr 6 2010



  • Diffusion
  • Disordered systems (theory)
  • Renormalization group

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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