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.
Received: 20 October 1999
Revised: 24 November 1999
Accepted manuscript online:
(Theory of diffusion and ionic conduction in solids)
Fund: 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].
Cite this article:
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) FORMATIONS OF FRACTAL ISLANDS AGGREGATED WITH DISCS IN GAUSSIAN DISTRIBUTION ON NONLATTICE SUBSTRATES 2000 Chinese Physics 9 414
A new modulated structure in α-Fe2O3 nanowires Cai Rong-Sheng (蔡鎔声), Shang Lei (商蕾), Liu Xue-Hua (刘雪华), Wang Yi-Qian (王乙潜), Yuan Lu (袁露), Zhou Guang-Wen (周光文). Chin. Phys. B, 2013, 22(10): 107401.
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