中国物理B ›› 2000, Vol. 9 ›› Issue (6): 414-418.doi: 10.1088/1009-1963/9/6/003

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FORMATIONS OF FRACTAL ISLANDS AGGREGATED WITH DISCS IN GAUSSIAN DISTRIBUTION ON NONLATTICE SUBSTRATES

罗孟波, 叶高翔, 陶向明, 许健民, 焦正宽   

  1. Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:1999-10-20 修回日期:1999-11-24 出版日期:2000-06-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19874016) and by the Special Foundation for Young Scientists of Zhejiang Province, China [Grant No.(1997)RC9603].

FORMATIONS OF FRACTAL ISLANDS AGGREGATED WITH DISCS IN GAUSSIAN DISTRIBUTION ON NONLATTICE SUBSTRATES

Luo Meng-bo (罗孟波), Ye Gao-xiang (叶高翔), Tao Xiang-ming (陶向明), Xu Jian-min (许健民), Jiao Zheng-kuan (焦正宽)   

  1. Department of Physics, Zhejiang University, Hangzhou 310027, China
  • Received:1999-10-20 Revised:1999-11-24 Online:2000-06-15 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19874016) and by the Special Foundation for Young Scientists of Zhejiang Province, China [Grant No.(1997)RC9603].

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摘要： The growth mechanism of fractal islands on a two-dimensional nonlattice substrate with periodic boundary conditions has been investigated by using Monte Carlo technique. Results show that the fractal dimension df of the final ramified islands is almost independent of the diffusion step length, mobility and rigid rotation of the islands. The characteristics of the size distribution of the discs in an island do not change the dimension df of the island. However, we find that df increases linearly with the surface coverage ρ of the system and its slope decreases with the increase of the mean diameter of the discs.

Abstract: The growth mechanism of fractal islands on a two-dimensional nonlattice substrate with periodic boundary conditions has been investigated by using Monte Carlo technique. Results show that the fractal dimension df of the final ramified islands is almost independent of the diffusion step length, mobility and rigid rotation of the islands. The characteristics of the size distribution of the discs in an island do not change the dimension df of the island. However, we find that df increases linearly with the surface coverage $\rho$ of the system and its slope decreases with the increase of the mean diameter of the discs.

中图分类号:  (Structural modeling: serial-addition models, computer simulation)

  • 61.43.Bn
61.43.Hv (Fractals; macroscopic aggregates (including diffusion-limited Aggregates)) 66.30.Dn (Theory of diffusion and ionic conduction in solids)