Classical diffusion, drift, and trapping in random percolating systems

Classical diffusion, drift, and trapping in random percolating systems
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DOI:
10.1103/physrevb.30.489
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发表时间:
1984-07
期刊:
影响因子:
3.7
通讯作者:
R. Pandey
R. Pandey
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Pandey

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本文用Monte Carlo方法研究了含${180}^{3}$和${256}^{3}$两种格点的单立方随机格点上的有偏扩散问题,时间步长为${10}^{7}$。在逾渗阈值之上,我们观察到短时间的扩散,并且当偏置低于特征值时,观察到长时间的漂移。对于较大的偏差,一个非常缓慢的松弛,大概的渐近非经典行为,观察。
Monte Carlo studies for a biased diffusion are made on simple-cubic random lattices containing ${180}^{3}$ and ${256}^{3}$ sites with time steps up to ${10}^{7}$. Above the percolation threshold, we observe diffusion for short times, and drift for long times, when the bias is below a characteristic value. For larger bias, a very slow relaxation, presumably to the asymptotic nonclassical behavior, is observed.