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Nonlinear Behavior of Multiple Cluster Growth Simulated by Monte Carlo Method |
WU Feng-min1;ZHU Qi-peng1;WANG Xiao-ping2,3;WU Zi-qin2 |
1Institute of Technical Physics, Zhejiang University of Technology, Hangzhou 310014
2Center of Fundamental Physics, 3Department of Physics, University of Science and Technology of China, Hefei 230026
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Cite this article: |
WU Feng-min, ZHU Qi-peng, WANG Xiao-ping et al 1998 Chin. Phys. Lett. 15 916-918 |
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Abstract Monte Carlo simulations have been carried out to investigate the kinetic growth process of ultrathinfilm. It is found that the area of cluster S(t) grows with time t as tk , where growth exponent k is less than 1 when averaged from all clusters. The further results indicate that the cluster growth is nonlinear, i.e., the bigger the cluster area S is, the faster it grows (the larger the k). Similar results also show the fractal dimension D increases with the increasing S. Both the slope a of lgk-lgS and the slope δ of 1gD-lgS are positive and related to the nucleation and growth kinetics.
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Keywords:
68.70.+w
68.55.-a
05.40.+j
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Published: 01 December 1998
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PACS: |
68.70.+w
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(Whiskers and dendrites (growth, structure, and nonelectronic properties))
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68.55.-a
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(Thin film structure and morphology)
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05.40.+j
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