Diffusion on Percolation Clusters
Diffusion on Percolation Clusters
复制标题
渗流簇上的扩散
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
A. Aharony
中科院分区：
文献类型：
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作者：
Y. Meir;A. B. Harris;A. Aharony
Diffusion on percolating clusters has attracted much attention since de Gentles´ proposal1 of the “ant in the labyrinth”. It has recently been realized2 that diffusion becomes anomalous for times shorter than a typical crossover time, τ, of order ξ2+θ where e—ξ~|p c-p|-v is the percolation correlation length and θ describes the scaling of the diffusion coefficent on the infinite percolating cluster above the threshold p c, D~ξ-θ . On the infinite cluster, the mean square distance after t time steps behaves as t 2/(2+ θ ) for 1«t«τ, and as Dt for t»τ. τ is thus the time it takes to diffuse a typical distance ξ. Similar anomalous diffusion occurs on finite clusters, for distances short compared to the cluster size.
