中国物理B ›› 2015, Vol. 24 ›› Issue (11): 118105-118105.doi: 10.1088/1674-1056/24/11/118105

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Crossover from 2-dimensional to 3-dimensional aggregations of clusters on square lattice substrates

程毅a, 祝宇红b, 潘启发a, 杨波a, 陶向明a, 叶高翔a   

  1. a Department of Physics, Zhejiang University, Hangzhou 310027, China;
    b Department of Physics, Hangzhou Normal University, Hangzhou 310036, China
  • 收稿日期:2015-04-28 修回日期:2015-07-09 出版日期:2015-11-05 发布日期:2015-11-05
  • 通讯作者: Ye Gao-Xiang E-mail:gxye@mail.hz.zj.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11374082 and 11074215), the Science Foundation of Zhejiang Province Department of Education, China (Grant No. Y201018280), the Fundamental Research Funds for Central Universities, China (Grant No. 2012QNA3010), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100101110005).

Crossover from 2-dimensional to 3-dimensional aggregations of clusters on square lattice substrates

Cheng Yi (程毅)a, Zhu Yu-Hong (祝宇红)b, Pan Qi-Fa (潘启发)a, Yang Bo (杨波)a, Tao Xiang-Ming (陶向明)a, Ye Gao-Xiang (叶高翔)a   

  1. a Department of Physics, Zhejiang University, Hangzhou 310027, China;
    b Department of Physics, Hangzhou Normal University, Hangzhou 310036, China
  • Received:2015-04-28 Revised:2015-07-09 Online:2015-11-05 Published:2015-11-05
  • Contact: Ye Gao-Xiang E-mail:gxye@mail.hz.zj.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11374082 and 11074215), the Science Foundation of Zhejiang Province Department of Education, China (Grant No. Y201018280), the Fundamental Research Funds for Central Universities, China (Grant No. 2012QNA3010), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100101110005).

摘要: A Monte Carlo study on the crossover from 2-dimensional to 3-dimensional aggregations of clusters is presented. Based on the traditional cluster-cluster aggregation (CCA) simulation, a modified growth model is proposed. The clusters (including single particles and their aggregates) diffuse with diffusion step length l (1 ≤ l ≤ 7) and aggregate on a square lattice substrate. If the number of particles contained in a cluster is larger than a critical size sc, the particles at the edge of the cluster have a possibility to jump onto the upper layer, which results in the crossover from 2-dimensional to 3-dimensional aggregations. Our simulation results are in good agreement with the experimental findings.

关键词: simulation, cluster, aggregation, crossover

Abstract: A Monte Carlo study on the crossover from 2-dimensional to 3-dimensional aggregations of clusters is presented. Based on the traditional cluster-cluster aggregation (CCA) simulation, a modified growth model is proposed. The clusters (including single particles and their aggregates) diffuse with diffusion step length l (1 ≤ l ≤ 7) and aggregate on a square lattice substrate. If the number of particles contained in a cluster is larger than a critical size sc, the particles at the edge of the cluster have a possibility to jump onto the upper layer, which results in the crossover from 2-dimensional to 3-dimensional aggregations. Our simulation results are in good agreement with the experimental findings.

Key words: simulation, cluster, aggregation, crossover

中图分类号:  (Theory and models of film growth)

  • 81.15.Aa
36.40.Sx (Diffusion and dynamics of clusters) 61.43.Hv (Fractals; macroscopic aggregates (including diffusion-limited Aggregates)) 05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)