The Effect of Non-Gaussian Statistics on the Mass Multiplicity of Cosmic Structures
The Effect of Non-Gaussian Statistics on the Mass Multiplicity of Cosmic Structures
复制标题
非高斯统计对宇宙结构质量多重性的影响
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
S. Matarrese
中科院分区：
文献类型：
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作者：
F. Lucchin;S. Matarrese
宇宙结构的质量函数的计算框架中的层次聚类图的一般统计密度扰动。层次分布进行了广泛的分析，它被发现，多重性函数保持了Press-Schechter功能的形式与增强的功率在大尺度上相比，高斯的情况下。分析了一类尺度不变的非高斯统计量，其中包括皮布尔斯模型和对数正态分布。所有这些预测的质量函数，这是一个递减的幂律在低质量，然后在高质量的指数衰减，但是，没有一个产生的Press-Schechter型的质量函数。的凝聚的起源上的统计偏差的效果进行了讨论。这些理论公式与观测到的星系、星系团和星系团的质量多重性的比较，可能是检验宇宙学扰动统计的有力工具。78篇参考文献。
The mass function of cosmic structures is computed in the framework of the hierarchical clustering picture for a general statistics of density perturbations. Hierarchical distributions are extensively analyzed; it is found that the multiplicity function preserves the Press-Schechter functional form with enhanced power on large scales compared to the Gaussian case. A class of scale-invariant non-Gaussian statistics, among which are a model due to Peebles and the lognormal distribution, are also analyzed. All these predict a mass function which is a decreasing power law at low mass followed by an exponential decay at high mass; none of them, however, yields a mass function of the Press-Schechter type. The effect of a statistical bias on the origin of condensations is also discussed. The comparison of these theoretical formulae with the observed mass multiplicity of galaxies, groups, and clusters may represent a powerful tool to test the statistics of cosmological perturbations. 78 references.