从离散到密集随机棒状网络：电导率模型研究
From percolating to dense random stick networks: Conductivity model investigation
摘要：
在蒙特卡罗研究中，二维随机棒系统的导电性从逾渗阈值到逾渗阈值密度的十倍进行了研究。我们提出了一个模型，明确地依赖于坚持密度和交界坚持电导率比。该模型描述了从由团簇结构决定的导电性到致密无规棒状网络导电性的转变。该模型的动机是由所观察到的密度的棍棒和接触中涉及的电流。有限尺寸标度效应也包括在描述中。导出的电导率模型应广泛适用于棒状粒子的随机网络。
英文摘要：
In a Monte Carlo study the conductivity of two-dimensional random stick systems is investigated from the percolation threshold up to ten times the percolation threshold density. We propose a model explicitly depending on the stick density and junction-to-stick conductance ratio. The model describes the transition from the conductivity determined by the structure of a percolating cluster to the conductivity of the dense random stick networks. The model is motivated by the observed densities of the sticks and contacts involved in the current flow. The finite-size scaling effects are also included in the description. The derived model for conductivity should be broadly applicable to the random networks of the rodlike particles.
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