两点相关函数、关联分维及IRAS星系大尺度分布的典型尺度  

Two-point Correlation Function,Correlation Fractal Dimension and Typical Scales in the Large Scale Distribution of IRAS Galaxies

作　　者：刘滨[1] 夏晓阳[1] 邓祖淦[1] 刘永镇[1] 

机构地区：[1]中国科技大学研究生院,天津师范大学物理系,中国科学院北京天文台

出　　处：《天体物理学报》1994年第2期109-117,共9页

摘　　要：本文对两点相关函数及关联分维间的关系进行了讨论，以ＩＲＡＳ星系红移巡天样本作为例子进行分析，分析结果表明，在大尺度（≥１５─２０ｈＭｐｃ）上，ＩＲＡＳ星系的分布既不能用简单幂律形式的两点相关函数，也不能用简单分形来描写。它可以用多级分形来更好地描写。多级分形结构的主要特征之一是存在典型尺度，即相邻分形级间的转变尺度，用非归一计数方法可以有效而准确地确定这些典型尺度，存在典型尺度对目前已有的结构形成模型提出了挑战。Relations between two─point correlation function and correlation fractal dimension have been discussed in this work, and sample presented by redshift of IRAS galaxies has been analysed as an example. Results show that on large scales, distribution of IRAS galaxies can not be described either by a power law two─point correlation function or by a simply fractal structure, but can be approximated by a multi─level fractal structure. One of the main features of a multi─level fractal structure is the existence of typical scales,i.e.the turning scales between successive fractal levels.Typical scales can be determined effectively and accurately with unnormalized pair counts method.Existence of typical scales challenges all existing models on the structure formation.

关 键 词：宇宙学 IRAS星系 大尺度 相关函数 

分 类 号：P157.8[天文地球—天文学]