摘要
本文以二维欧氏空间中的扩散控制聚集(DLA)系统的模拟数据为基础,讨论了Muthukumar等人所导出的四个屏蔽长度关系式,指出它们与有限系统的模拟数据存在一定的差距,继而通过对无规行走粒子的聚集过程的分析,导出了一个与模拟数据符合的屏蔽长度关系式,并且从关系式得出,对于足够大的DLA系统,Muthukumar的结论是正确的。
According to the computer simulation results for diffusion-limited aggregation in two-dimensional Euclidean space, we give a discussion about some formula for the screening behavior introduced by Muthukumar, Tokuyama, Hentschel and Mutsushita separately. We show that these formula give a large disaggreement with our computer simulation results for a finite system. Then, through the analysis of the process of aggregation by random walk particles, we obtain a equation for the screening behavior that agrees with the simulations in this paper. Finally, we find that the formula introduced by Muthukumar is correct if the aggregate is sufficiently large.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1990年第7期1035-1043,共9页
Acta Physica Sinica
基金
国家自然科学基金资助的课题
