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无格点基底表面分形凝聚体的计算机模拟
引用本文:夏阿根,金进生,劳燕峰. 无格点基底表面分形凝聚体的计算机模拟[J]. 浙江大学学报(理学版), 2000, 34(4): 394-397
作者姓名:夏阿根  金进生  劳燕峰
作者单位:浙江大学物理系!浙江杭州310028
基金项目:国家自然科学基金!(198740 16 ),浙江省青年人才基金!(1997- RC96 0 3)
摘    要:对具有周期性边界条件的无格点正方形基底表面分形凝聚体的形成进行了计算机模拟.凝聚体由二种大小不同的圆盘组成. 结果表明 ,凝聚体的分形维数几乎与表面覆盖率成正比,其斜率随圆盘的平均直径的增大而减小. 当表面覆盖率很小时,分形维数几乎与圆盘的平均直径无关,约为 1. 45;当表面覆盖率较大时,分形维数随圆盘的平均直径的增大而减小.

关 键 词:凝聚  分形维数  扩散  模拟  
修稿时间:1999-12-01

Computer simulation for fractal aggregates on nonlattice substrates.
XIA A|gen,JIN Jin|sheng,LAO Yan|feng,LUO Meng|bo. Computer simulation for fractal aggregates on nonlattice substrates.[J]. Journal of Zhejiang University(Sciences Edition), 2000, 34(4): 394-397
Authors:XIA A|gen  JIN Jin|sheng  LAO Yan|feng  LUO Meng|bo
Affiliation:Department of Physics,Zhejiang University,Hangzhou 310028,China
Abstract:The growth process of fractal aggregates, which contain two types of discs, on a two dimensional nonlattice square substrate with periodic boundary conditions is simulated. Results show that the fractal dimension increases almost linearly with the surface coverage, and its slope decreases with the increase of the mean diameter of the discs %%. The fractal dimension is about 1.45 and nearly independent of %% at very low surface coverage, but it decreases with increasing %% at large surface coverage.
Keywords:aggregation  fractal dimension  diffusion  simulation
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