中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2038-2044.doi: 10.1088/1009-1963/13/12/011

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Aggregation on heterogeneous surface

陆杭军1, 方允樟1, 吴锋民2   

  1. (1)College of Mathematics and Physics, Zhejiang Normal University, Jinhua 321004, China; (2)College of Mathematics and Physics, Zhejiang Normal University, Jinhua 321004, China; College of Science, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2004-04-21 修回日期:2004-05-27 出版日期:2004-12-17 发布日期:2005-03-17
  • 基金资助:
    Project supported by the Fund of Natural Science Foundation for Young Scientists of Zhejiang Province (Grant No RC02069) and Zhejiang Provincial Natural Science Foundation (Grant No 101032).

Aggregation on heterogeneous surface

Lu Hang-Jun (陆杭军)a, Wu Feng-Min (吴锋民)ab, Fang Yun-Zhang (方允樟)a   

  1. a College of Mathematics and Physics, Zhejiang Normal University, Jinhua 321004, China; b College of Science, Zhejiang University, Hangzhou 310027, China
  • Received:2004-04-21 Revised:2004-05-27 Online:2004-12-17 Published:2005-03-17
  • Supported by:
    Project supported by the Fund of Natural Science Foundation for Young Scientists of Zhejiang Province (Grant No RC02069) and Zhejiang Provincial Natural Science Foundation (Grant No 101032).

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摘要： Chessboard-like substrates are introduced in this paper, in order to study the diffusion-limited aggregation (DLA) and the motion of poly-atoms on heterogeneous surfaces. The effect of morphology of such substrates upon the cluster aggregation is investigated using the Monte Carlo simulation. It is found that the growth process and the cluster morphology are governed by the energetic topography of the substrates. Our simulation also indicate that the island density and the fractal dimension of the clusters depend strongly on the substrate topography and the activation energy.

关键词: heterogeneous substrate, DLA model, fractal, Monte Carlo simulation

Abstract: Chessboard-like substrates are introduced in this paper, in order to study the diffusion-limited aggregation (DLA) and the motion of poly-atoms on heterogeneous surfaces. The effect of morphology of such substrates upon the cluster aggregation is investigated using the Monte Carlo simulation. It is found that the growth process and the cluster morphology are governed by the energetic topography of the substrates. Our simulation also indicate that the island density and the fractal dimension of the clusters depend strongly on the substrate topography and the activation energy.

Key words: heterogeneous substrate, DLA model, fractal, Monte Carlo simulation

中图分类号:  (Microscopy of surfaces, interfaces, and thin films)

  • 68.37.-d
02.70.Uu (Applications of Monte Carlo methods) 68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation) 05.45.Df (Fractals)