Generalized Statistical Models of Voids and Hierarchical Structure in Cosmology
Generalized Statistical Models of Voids and Hierarchical Structure in Cosmology
复制标题
宇宙学中空洞和层次结构的广义统计模型
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
A. Mekjian
中科院分区：
文献类型：
--
作者：
A. Mekjian
发展了宇宙学中空洞和等级结构的广义统计模型。经常引用的负二项模型和经常使用的热力学模型被证明是包含参数a的更一般分布的特殊情况。这个参数与Lévy指数α和Fisher临界指数τ有关，后者描述了相变周围物质团块的幂律衰减。参数a、指数τ或指数α可以从空隙标度函数的性质获得。在一个统计模型中引入一个随机概率变量p，它代表了星系结构的粘附生长。星系数分布随着p的大小呈指数快速衰减< . For p >，粘附生长可以无限地进行，从而形成无限大的超星系团。在p =时，星系数分布呈现无标度幂律分布。随机描述也导致了一些与宇宙弦结果、渗流理论和相变相似的结果。
Generalized statistical models of voids and hierarchical structure in cosmology are developed. The often quoted negative binomial model and the frequently used thermodynamic model are shown to be special cases of a more general distribution that contains a parameter a. This parameter is related to the Lévy index α and the Fisher critical exponent τ, the latter of which describes the power-law falloff of clumps of matter around a phase transition. The parameter a, exponent τ, or index α can be obtained from properties of a void scaling function. A stochastic probability variable p is introduced into a statistical model, which represents the adhesive growth of galaxy structure. The galaxy count distribution decays exponentially quickly with size for p < . For p > , adhesive growth can go on indefinitely, thereby forming an infinite supercluster. At p = , a scale-free power-law distribution for the galaxy count distribution is present. The stochastic description also leads to consequences that have some parallels with cosmic string results, percolation theory, and phase transitions.