感染生长模型的逾渗模拟

在规则格子点阵中，活跃点逐步动态地以可变概率感染附近空缺点而生成系综.利用感染概率替代系综温度，给粒子划分能级，可以用巨正则系综配分函数表征体系.蒙特卡洛方法模拟验证了该体系在逾渗阈值处的相变行为.提出了一种新的较为普适的估算规则点阵逾渗阈值的方法.对介质基底上金属薄膜的实验研究验证了该感染生长模型的合理性.由此给出了格子点阵的固有属性(逾渗)如何在粒子聚集成团簇这一动态过程中体现出来的物理模型.关键词：逾渗系综蒙特卡洛方法生长模型

The percolation simulation of the infection growth models

In a regular lattice, the active sites infect their neighboring vacant sites with a certain probability step by step. A grand canonical ensemble was finally formed by all the occupied sites. To represent the system by the partition function of the ensemble, we have substituted the infect probability for the system temperature and divided the energy levels of the sites with different steps. The percolation phase transition of this system at percolation threshold P_c was substantiated by Monte Carlo simulation. Thus a new general method is established, in which the intrinsic behavior of the lattice in the dynamic process of particle growth and other infection growth is used, to estimate the percolation threshold of any lattice. The validity of the model was experimentally verified by studying the growth process of the nanometal films on a dielectric substrate. A proper explanation of the connection between the model and the physical substance was also given.