| 分形聚集逾渗性质的计算机模拟 |
| |
| 引用本文： | 程锦荣,丁锐,刘遥.分形聚集逾渗性质的计算机模拟[J].计算物理,2007,24(1):83-89. |
| |
| 作者姓名： | 程锦荣 丁锐 刘遥 |
| |
| 作者单位： | 安徽大学物理与材料科学学院, 安徽 合肥 230039 |
| |
| 摘 要： | 提出3种模型——小尺寸随机逐次成核生长模型和二维及三维代代聚集生长模型,在不同的近邻条件下和不同尺寸的网格中,通过蒙特卡罗模拟,系统地研究了一维、二维和三维分形聚集的逾渗性质.计算结果显示,分形聚集的逾渗阈值仅取决于空间维数和近邻条件,与模型的网格大小无关,是分形系统固有的临界属性;生长概率等于逾渗阈值时,聚集体可以无限生长并保持分形维数恒定,此时的分形维数只是空间维数的线性函数.
|
| 关 键 词： | 分形 聚集 逾渗 临界性质 蒙特卡罗模拟 |
| 文章编号： | 1001-246X（2007）01-0083-07 |
| 收稿时间： | 2005-06-07 |
| 修稿时间： | 2005-07-25 |
Simulation on Percolation of Fractal Aggregations |
| |
| CHENG Jinrong,DING Rui,LIU Yao.Simulation on Percolation of Fractal Aggregations[J].Chinese Journal of Computational Physics,2007,24(1):83-89. |
| |
| Authors: | CHENG Jinrong DING Rui LIU Yao |
| |
| Institution: | School of Physics and Material Science, Anhui University, Hefei 230039, China |
| |
| Abstract: | We present a randomsuccessive nucleation growth model,a two-and a three-dimensional aggregation generation-by-generation model to investigate percolation properties of fractal aggregations with various neighbor conditions and lattice size.Itshows that the percolationthreshold of fractal aggregationisindependent of the lattice size.It dependents onspatial dimension andneighbor conditions,andis aninherent property of the fractal system.The fractal aggregate grows infinitely withthe same fractaldimension whenthe growth probabilityis equal tothe percolationthreshold.The fractal dimension is just a linear function of thespatial dimension. |
| |
| Keywords: | fractal aggregation percolation critical properties Monte Carlo simulation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算物理》浏览原始摘要信息 |
| 点击此处可从《计算物理》下载免费的PDF全文 |
|
