### 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 traveled by the particle, [〈x(t)〉]_{av}, has a power-law time dependence [〈x(t)〉]_{av} ∼ tμK(v), with a diffusion exponent 0 ≤ μ_{K}(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 language | English |
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Article number | P03012 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2010 |

Issue number | 3 |

DOIs | |

Publication status | Published - Apr 6 2010 |

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### Keywords

- Diffusion
- Disordered systems (theory)
- Renormalization group

### ASJC Scopus subject areas

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