Random walks in a simple percolation model with two jump frequencies

A.V. Plyukhin

Physica A: Statistical Mechanics and its Applications, 1996, vol. 229, issue 1, 1-4

Abstract: We consider transport properties of the system in which the good-conducting bonds lie in parallel planes linked by poor-conducting bonds and the concentration p of good-conducting bonds is close to the two-dimensional percolation threshold pc. The diffusion coefficient D(τ) which describes the random walking in directions along the planes is calculated as a function of variable τ = p − pc. For τ → 0 the asymptotic relation D(τ)/D(0) − 1 | ∼ |τ|α is found w α = 2ν − s. Here s is the superconductivity exponent and ν is the correlation length exponent. It is argued that such behavior is to be expected also for more general models.

Keywords: Diffusion; Percolation (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:229:y:1996:i:1:p:1-4

DOI: 10.1016/0378-4371(96)00002-7

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