摘要
用计算机模拟生成了多重分形结构,通过对比分析结构的解析多重分形谱和配分函数法计算得到的多重分形谱,总结出多重分形谱可以描述结构在某一无标度区内生长规律的特性,发现结构的各个无标度区都具有研究价值,针对传统方法不能充分利用数据的缺陷,提出了基于多个无标度区的多重分形谱计算方法.
Formation of multifractal structure is simulated.Through a contrastive analysis on analytic,multifractal spectrum of structure and calculated multifractal spectrum with partition function,it is found that multifractal spectrum can describe structure growth pattern in a certain scale-free zone.It is found that all structure scale-free zones exhibit value of research.Since traditional multifractal analysis method can not make full use of the data in a structure,we propose a new method to calculate multifractal spectrum based on several scale-free zones.
出处
《计算物理》
EI
CSCD
北大核心
2010年第6期905-911,共7页
Chinese Journal of Computational Physics
关键词
多重分形
配分函数
标度
multifractal
partition function
scale