摘要
对于分形聚集的粒子－集团模型，考虑正方网格中近邻和次近邻效应以及场的拉普拉斯特性，用严格满足拉氏方程的占据概率来模拟拉普拉斯场，研究二维情形下外场中的分形聚集性质。提出了在该分形聚集模型中的分形维度阈值计算方法。计算机模拟结果得到占据概率的阈值为０．５９±０．０２，相应的分形维度阈值为１．６８±０．０３。
n this paper, we consider the nearest neighbor and next nearest neighbor interaction as well as Laplacity of fields in square lattice for a particle-cluster model of fractal aggregation. The Laplace fields are simulated by the occupy probsbility that satisfied rigorously the replace equation. We have integsted the properties of fractal aggregation in external fields, and proposed a method calculating the thresholds of the occupy probability and the fractal dimension in the fractal aggregation model. Both thresholds calculated by the method are 0. 59 and 1. 68,respectively.
出处
《江汉石油学院学报》
CSCD
北大核心
1994年第4期102-104,共3页
Journal of Jianghan Petroleum Institute
关键词
分形聚集
阈值
二维
fractal aggregation
square lattice
next nearest neighbor
particle-cluster model
