摘要
采用映射膨胀法构造两种不同的Sierpinski地毯,运用Monte Carlo方法研究两种Sierpinski地毯中的有限扩散凝聚(DLA)生长。采用DLA模型,通过计算机模拟获得了两种Sierpinski地毯中DLA生长的斑图结构,结果表明两种Sierpinski地毯中DLA生长的斑图结构有着显著差别,计算其中的分形维数,并得到多重分形谱。
We construct two different kinds of Sierpinski carpets by means of Mapping Dilation Method, and apply Monte Carlo method to study Diffusion Limited Aggregation( DLA )growth in two different kinds of Sierpinski carpets. Pattern structures about DLA growth in two different kinds of Sierpinski carpets are obtained by computer's simulation, the results show that the pattern structures have obvious difference, count their fractal dimension, and obtain their multifractal spectrum.
出处
《武汉科技学院学报》
2007年第4期5-8,共4页
Journal of Wuhan Institute of Science and Technology
基金
湖北省教育厅项目项目(项目编号:20001B29001)
湖北省自然基金项目(项目编号:2003ABA057)