逾渗理论的研究及应用进展

逾渗理论是处理强无序和具有随机几何结构系统常用的理论方法之一,为描述空间分布的随机过程,提供一个明确、清晰、直观的模型。本文系统地阐述了逾渗理论的中心内容(即在逾渗阈值处系统的物理性质会发生尖锐的变化)、基本特点;以导电复合材料体系为例分析总结了8种逾渗模型的特点;概述了逾渗理论的应用领域,并展望了其发展前景。

The research of percolation theory and application

As one of the common theoretical methods for dealing with strong disorder systems and random geometrical structure,percolation theory provides a well-defined,transparent,and intuitively satisfying model for spatially random processes.The paper systematically expounded the center of percolation theory(ie,there will have a sharp chang of the physical nature at the point of percolation threshold),the basic characteristics of percolation theory;summarized the eight characteristics of percolation model with conductive compound as an example;outlined the applications of percolation theory,and overviewed its development prospects.