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均匀外场中扩散控制聚集集团标度性质的实验

物理学报, 1990, 39(7): 15-18.
DOI: 10.7498/aps.39.15
CSTR: 32037.14.aps.39.15

AN EXPERIEMENTAL STUDY ON SCALING PROPERTIES OF DIFFUSIONLIMITED AGGREGATION IN UNIFORM EXTERNAL FIELDS

Acta Phys. Sin., 1990, 39(7): 15-18.
DOI: 10.7498/aps.39.15
CSTR: 32037.14.aps.39.15
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  • 摘要

    本文采用无分岔扩散控制聚集(DLA)模型,利用计算机模拟均匀外场中微小颗粒的不可逆生长过程,发现均匀外场的存在将改变生长集团的标度性质。对在均匀外场中生长的DLA,集团的豪斯道夫维数D与均匀外场F之间存在函数关系:D=2.50F0.37exp(-1.08F)+1。

     

    Abstract

    In this article, we found that scaling properties of the cluster are changed by uniform external fields, when we adopted the model of diffusion-limited aggregation without branching to simulate the irrevesible aggregation of small particles in uniform external fields. The relationship between Hausdorff dimension D of the cluster and uniform external fields has been found: D = 2.50F0.37exp(-1.08F) + 1

     

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