Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed
TANG Qiang1,3, TIAN Ju-Ping2,3, YAO Kai-Lun4,5
1Department of Mathematics, Wuhan University of Science and Engineering, Wuhan 430073
2Department of Physics, Wuhan University of Science and Engineering, Wuhan 430073
3Research Center of Nonlinear Science, Wuhan University of Science and Engineering, Wuhan 430073
4Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
5CCAST (World Laboratory), PO Box 8730, Beijing 100080
Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed
TANG Qiang1,3;TIAN Ju-Ping2,3;YAO Kai-Lun4,5
1Department of Mathematics, Wuhan University of Science and Engineering, Wuhan 430073
2Department of Physics, Wuhan University of Science and Engineering, Wuhan 430073
3Research Center of Nonlinear Science, Wuhan University of Science and Engineering, Wuhan 430073
4Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
5CCAST (World Laboratory), PO Box 8730, Beijing 100080
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 Df 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.
2006, Vol. 23 
