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On anomalous transport on comb structures

Author

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  • Reynolds, A.M

Abstract

New transport properties of regular comb structures (associated with transport processes at the threshold of percolation and driven by temporally correlated noise) are identified. These include the first realization of transitions from normal diffusion to either anomalous diffusion or to ballistic transport, and the occurrence of super-diffusion. An effective media approximation introduced recently by Arkhincheev (Physica A 307 (2002) 131) is shown to predict accurately transport along the backbones of random comb structures.

Suggested Citation

  • Reynolds, A.M, 2004. "On anomalous transport on comb structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 39-45.
    • Handle: RePEc:eee:phsmap:v:334:y:2004:i:1:p:39-45
    DOI: 10.1016/j.physa.2003.10.070
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    Cited by:

    1. Endre Csáki & Antónia Földes, 2020. "Random Walks on Comb-Type Subsets of $$\mathbb {Z}^2$$ Z 2," Journal of Theoretical Probability, Springer, vol. 33(4), pages 2233-2257, December.
    2. Csáki, Endre & Csörgo, Miklós & Földes, Antónia & Révész, Pál, 2011. "On the local time of random walk on the 2-dimensional comb," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1290-1314, June.

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