Deposition, diffusion, and aggregation on small-world networks: A model for nanostructure growth on the defective substrate

Zhi-Gang Shao; Xian-Wu Zou; Zhi-Jie Tan; Sheng-You Huang; Zhun-Zhi Jin

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Deposition, diffusion, and aggregation on small-world networks: A model for nanostructure growth on the defective substrate

Zhi-Gang Shao 1 #,Xian-Wu Zou 1 * #,Zhi-Jie Tan 2 #,Sheng-You Huang 2,Zhun-Zhi Jin 2

1.Department of Physics, Wuhan University

2.Department of Physics- Wuhan University

*Correspondence author

#Submitted by

Subject:

Funding: 国家自然科学基金，教育部博士点基金（No.SRFDP NO.20020486009）

Opened online:18 June 2004

Accepted by: none

Citation: Zhi-Gang Shao,Xian-Wu Zou,Zhi-Jie Tan.Deposition, diffusion, and aggregation on small-world networks: A model for nanostructure growth on the defective substrate[OL]. [18 June 2004] http://en.paper.edu.cn/en_releasepaper/content/837

Deposition, diffusion and aggregation (DDA) on a two-dimensional small-world network has been investigated by computer simulations. This model is characterized by two parameters: the clustering exponent $\alpha$ and long-range connection rate $\phi$. The results show that as $\alpha$ and $\phi$ vary there exists a continuous crossover in the fractal dimension $D_f$ from 1.65 to 2, which corresponds to the crossover from the DDA pattern to dense one. The change of the aggregation pattern results from the long-range connection in the network, which reduces the effect of screening during the aggregation. With primitive analysis, we obtain the expressions of the fractal dimension $D_f$ and the crossover point $\alpha_c$. The maximum value of $\alpha_c$ is 4. These results may be useful to describe the vapor deposition, molecular-beam epitaxy, and similar experiments on defective substrates.

Keywords:small-word network; deposition, diffusion and aggregation(DDA); pattern

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