Some properties of a random walk on a comb structure

George H. Weiss and Shlomo Havlin

Physica A: Statistical Mechanics and its Applications, 1986, vol. 134, issue 2, 474-482

Abstract: We analyze transport properties of a random walk on a comb structure, which serves as a model for a random walk on the backbone of a percolation cluster. It is shown that the random walk along the x axis, which is the analog of the backbone, exhibits anomalous diffusion in that 〈x2(n)〉 ∼ n12, and the expected number of x sites visited is proportional to n14 for large n. The distribution function is found to be a two-dimensional Gaussian. If a field in the x direction, so that diffusion is asymmetric, the expected displacement is found to be asymptotically proportional to n12.

Date: 1986
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:134:y:1986:i:2:p:474-482

DOI: 10.1016/0378-4371(86)90060-9

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