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arXiv 0708.1376astro-ph
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LCDM晕形成的统计性质

The statistical properties of LCDM halo formation

Shaun Cole, John Helly, Carlos S. Frenk, Hannah Parkinson

摘要:

我们提出了一个比较的统计特性的暗物质晕合并树从千年模拟与扩展的Press-Schechter(EPS)形式主义和相关的GALFORM蒙特卡罗方法生成合奏合并树。体积、质量分辨率和输出频率使Millennium Simulation成为研究结构分层生长的独特资源。我们构建了今天的朋友的朋友组的合并树,并计算了各种统计数据,量化的质量作为红移的函数,吸积率和最近的主要合并的红移分布的祖先。我们还期待在前进的方向和量化的光环,高红移祖细胞的特定质量成为纳入目前的质量分布。我们发现,EPS形式主义和蒙特卡洛扩展捕捉所有这些统计的定性行为,但是,随着红移的增加,他们系统地低估了最大质量的祖先。这个缺点对于Monte-Carlo算法来说是最糟糕的。我们提出了一个拟合函数的祖先质量分布的缩放版本,并显示它如何可以用来更准确地预测祖细胞和最终晕质量分布。

英文摘要:

We present a comparison of the statistical properties of dark matter halo merger trees extracted from the Millennium Simulation with Extended Press-Schechter (EPS) formalism and the related GALFORM Monte-Carlo method for generating ensembles of merger trees. The volume, mass resolution and output frequency make the Millennium Simulation a unique resource for the study of the hierarchical growth of structure. We construct the merger trees of present day friends-of-friends groups and calculate a variety of statistics that quantify the masses of their progenitors as a function of redshift; accretion rates; and the redshift distribution of their most recent major merger. We also look in the forward direction and quantify the present day mass distribution of halos into which high redshift progenitors of a specific mass become incorporated. We find that EPS formalism and its Monte-Carlo extension capture the qualitative behaviour of all these statistics but, as redshift increases they systematically underestimate the masses of the most massive progenitors. This shortcoming is worst for the Monte-Carlo algorithm. We present a fitting function to a scaled version of the progenitor mass distribution and show how it can be used to make more accurate predictions of both progenitor and final halo mass distributions.

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