| 外场中DLA集团标度性质的解析研究 |
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| 引用本文： | 余江,胡岗.外场中DLA集团标度性质的解析研究[J].物理学报,1988,37(9):1486-1493. |
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| 作者姓名： | 余江 胡岗 |
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| 作者单位： | (1)北京师范大学物理系; (2)北京师范大学物理系,中国高等科学技术中心(世界实验室)理论物理中心 |
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| 摘 要： | 我们利用“连续化近似”的平均场理论,详细研究了在不同外场作用下DLA集团的标度性质。发现对常值外场,集团密度ρ初始时按1/r变化,然后过渡到一个常数值;而对1/rα类型的外场。当控制参数α变化时,生长集团表现出非常复杂的、非平庸的标度行为。
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| 收稿时间： | 1987-12-05 |
AN ANALYTICAL STUDY ON THE SCALING PROPERTIES OF DIFFUSION-LIMITED AGGREGATION IN EXTERNAL FIELDS |
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| YU JIANG and HU GANG.AN ANALYTICAL STUDY ON THE SCALING PROPERTIES OF DIFFUSION-LIMITED AGGREGATION IN EXTERNAL FIELDS[J].Acta Physica Sinica,1988,37(9):1486-1493. |
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| Authors: | YU JIANG and HU GANG |
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| Abstract: | We have investigated the scaling properties of DLA clusters grown in the various kinds of external fields, using the meanfield theory with the continuum approximation. Our results show that the density of the growing cluster, ρ, initially dropping as 1/r, and becomes a constant value for constant external field. For the fields of type 1/rα we find that the aggregates exhibit very complicated, non-trivial scaling behaviours with the control parameter a varying. |
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