Conductivity of a random directed-diode network near the percolation threshold
Conductivity of a random directed-diode network near the percolation threshold
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接近渗透阈值的随机定向二极管网络的电导率
DOI：
10.1103/physrevb.26.5293
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发表时间：
1982
影响因子：
3.7
通讯作者：
P. Mueller
中科院分区：
文献类型：
--
作者：
S. Redner;P. Mueller
我们已经研究了在一个随机定向网络的“欧姆”二极管，在正向偏压下表现出欧姆响应的元素的电导率。一个数值方法的开发，以确定第一正确的“状态”的网络，分布的正向和反向偏置二极管内的有向骨干，然后计算附近的逾渗阈值的电导率。通过各向异性有限尺寸标度对正方形晶格上的蒙特卡罗数据进行外推，得到定向电导率指数为${t}_{+}\ensuremath{\cong}0.60$。
We have investigated the conductivity in a random directed network of "ohmic" diodes, elements which exhibit ohmic response under a forward-bias voltage. A numerical method is developed to identify first the correct "state" of the network, the distribution of forward- and back-biased diodes within the directed backbone, and then calculate the conductivity near the percolation threshold. Extrapolation of Monte Carlo data on the square lattice by anisotropic finite-size scaling yields a directed conductivity exponent of ${t}_{+}\ensuremath{\cong}0.60$.