| Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed |
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| 引用本文： | 唐强 田巨平 姚凯伦. Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed[J]. 中国物理快报, 2006, 23(11): 3033-3036 |
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| 作者姓名： | 唐强 田巨平 姚凯伦 |
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| 作者单位： | [1]Department of Mathematics, Wuhan University of Science and Engineering, Wuhan 430073 [2]Department of Physics, Wuhan University of Science and Engineering, Wuhan 430073 [3]Research Center of Nonlinear Science, Wuhan University of Science and Engineering, Wuhan 430073 [4]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 [5]CCAST （World Laboratory）, PO Box 8730, Beijing 100080 |
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| 基金项目： | Supported by the Natural Science Foundation of Wuhan University of Science and Engineering under Grant No 20063133, and the Natural Science Foundation of Hubei Province under Grant No 2003ABA057. |
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| 摘 要： |
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| 关 键 词： | 标度 扩散有限聚集 聚簇 模式结构 |
| 收稿时间： | 2006-07-07 |
| 修稿时间： | 2006-07-07 |
Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed |
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| TANG Qiang, TIAN Ju-Ping, YAO Kai-Lun, PO Box , Beijing ). Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed[J]. Chinese Physics Letters, 2006, 23(11): 3033-3036 |
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| Authors: | TANG Qiang TIAN Ju-Ping YAO Kai-Lun PO Box Beijing ) |
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| Affiliation: | 1. Department of Mathematics, Wuhan University of Science and Engineering, Wuhan 430073 ;2.Department of Physics, Wuhan University of Science and Engineering, Wuhan 430073 ;3. Research Center of Nonlinear Science, Wuhan University of Science and Engineering, Wuhan 430073; 4.Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 ; 5.CCAST (World Laboratory |
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| Abstract: | We present a computer model of diffusion limited aggregation with linear seed. The clusters with varying linear seed lengths are simulated, and their pattern structure, fractal dimension and multifractal spectrum are obtained. The simulation results show that the linear seed length has little effect on the pattern structure of the aggregation clusters if its length is comparatively shorter. With its increasing, the linear seed length has stronger effects on the pattern structure, while the dimension D f decreases. When the linear seed length is larger, the corresponding pattern structure is cross alike. The larger the linear seed length is, the more obvious the cross-like structure with more particles clustering at the two ends of the linear seed and along the vertical direction to the centre of the linear seed. Furthermore, the multifractal spectra curve becomes lower and the range of singularity narrower. The longer the length of a linear seed is, the less irregular and nonuniform the pattern becomes. |
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