指数外场中扩散控制聚集集团标度性质的实验

An Experiment on Scaling Properies of Diefusion limited Aggregation in Exponential External Fieds

该文采用无分岔扩散控制聚集集团模型，利用计算机模拟幂指数外场（Ｆ＝Ｂ／ｒα）中微小颗粒的不可逆生长过程，证实外物的存在将改变集团的标度性质，通过改变外场中的幂指数α，将生成一整套普适类，对在幂指数外场中生长的ＤＬＡ集团，其维数Ｄ与外场α之间遵从线性关系：Ｄ＝ｄ－（０．８α＋０．０３），当α≥１．１时，外场的存在不影响集团的标度性质。

In this article,we confirmed that scaling properies of the cluster are changed by diffusion limited aggregation without brangching to simulate the irrevesible aggregation of samll particles in exponential external fields.A series universality classes be generated when exponential a be changed.The linear relationship between Hausdorff dimension D of the cluster and exponential a has been found: D=d-(0.8α +0.03).The scaling properies of the cluster are not changed by exponential external fields when α ≥1.1.