Scaling behavior of diffusion on percolation clusters
Scaling behavior of diffusion on percolation clusters
复制标题
渗流簇扩散的尺度行为
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
H. Sompolinsky
中科院分区：
文献类型：
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作者：
S. Havlin;D. ben;H. Sompolinsky
A scaling analysis is performed on Monte Carlo simulations of random walks on percolation clusters both above and below the threshold ${p}_{c}$. The average diffusion constant is described by a single scaling function in which the crossover from an algebraic decay (in time) near ${p}_{c}$ to the asymptotic behavior above or below it occurs at time ${t}_{mathrm{cross}}ensuremath{propto}{|pensuremath{-}{p}_{c}|}^{ensuremath{-}(2ensuremath{
u}ensuremath{-}ensuremath{eta}+ensuremath{mu})}$. The value of the percolation conductivity exponent $ensuremath{mu}$ is found to be 1.05 ifmmodepmelse extpmfi{}0.05 for two-dimensional systems and 1.5 ifmmodepmelse extpmfi{}0.1 for three dimensions.
