Directed diffusion in a percolation network
Directed diffusion in a percolation network
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渗滤网络中的定向扩散
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
D. Dhar
中科院分区：
文献类型：
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作者：
M. Barma;D. Dhar
作者研究了在存在外场的情况下粒子在随机介质中的扩散。该介质由渗流网络建模，粒子在该网络上沿偏置场和逆着偏置场以不相等的转移概率执行随机游走。在只有有限簇的一维中，他们研究偏差如何影响长期接近稳定状态的过程。在更高的维度中，他们研究了渗透阈值以上的载流稳态。他们表明，漂移速度是非单调的，并且对于足够大的场值会消失。
The authors investigate diffusion of particles in a random medium in the presence of an external field. The medium is modelled by a percolation network on which the particle executes a random walk with unequal transition probabilities along and against the biasing field. In one dimension where there are only finite clusters, they study how the bias affects the long-time approach to the steady state. In higher dimensions, they study the current-carrying steady state above the percolation threshold. They show that the drift velocity is non-monotonic and vanishes for large enough values of the field.