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

作者：Shao ZG; Zou XW^*; Tan ZH; Huang SY; Jin ZZ

来源：Physics Letters A, 2004, 331(1-2): 105-109.

DOI：10.1016/j.physleta.2004.08.049

• deposition
• diffusion
• aggregation
• fractal dimension
• small-world

Deposition, diffusion, and aggregation (DDA) on a two-dimensional small-world network have 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 ce,. These results may be useful to describe the vapor deposition, molecular-beam epitaxy, and similar experiments on defective substrates.

• 出版日期2004-10-11
• 单位武汉大学