Abstract

The conductivity in the 2D Rayleigh model (isotropic matrix with a periodic distribution of circular inclusions) is considered for the critical concentration (percolation threshold). The effective conductivity of the model with the metal–ideal conductor phase transition is calculated using the binary approximation. The corresponding effective conductivity for an alternative model with a metal–insulator transition is determined from the Keller–Dykhne reciprocity relation.

中文翻译：

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临界浓度（渗透阈值）的二维瑞利模型中的电导率

摘要

对于临界浓度（渗滤阈值），应考虑二维Rayleigh模型（具有圆形夹杂物周期性分布的各向同性矩阵）中的电导率。使用二元逼近计算出具有金属-理想导体相变的模型的有效电导率。根据Keller-Dykhne互惠关系，可以确定具有金属-绝缘体转变的替代模型的相应有效电导率。