DLA模型分维度的重正化群计算

On the cell renomalisation group approach to DLA model

根据扩散聚集DLA模型规则，用MonteCarlo方法模拟了随机行走粒子步长分别为1，2和3个晶格常数时生成的二维聚集集团，它们的分维度分别为1．689±0．219，1．7295±0．184和1．88±0．217，并用重正化群方法计算了随机行走粒子步长为1和2个晶格常数时形成的集团分维度，计算值与模拟值接近．

Based on the rule for DLA model, the simulation for 2D diffusion limited agregation cluster, which is formd by random walk particles (RWP) whose step is one, two or three lattice unit is presented. The simulated value for the fractal dimension of cluster is 1 .689±0.219, 1.729 5 ±0. 184 and 1.88±0.217 respectively. By using the cell renomalisation group approach, the fractal dimension for cluster with RWP's step length one and two lattice unit are anived at, and the result shows that the calculated value is clese to the simulated ones.