Abstract

The conductivity of the two-dimensional Rayleigh model near a critical point, the percolation threshold, is investigated. The effective conductivity of the model with a metal–prefect conductor phase transition is calculated in the binary (pair) approximation. For the alternative model with a metal–insulator phase transition the corresponding effective conductivity is determined from the Keller–Dykhne reciprocity relation.

中文翻译：

---

接近渗流阈值的二维Rayleigh模型的电导率：浓度的一个阈值区域

摘要

研究了临界点附近的二维瑞利模型的电导率，即渗透阈值。具有金属-完美导体相变的模型的有效电导率以二进制（对）近似值计算。对于具有金属-绝缘体相变的替代模型，相应的有效电导率由Keller-Dykhne互易关系确定。