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arXiv 0801.3459astro-ph
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椭球坍缩模型中暗物质晕的条件质量函数和合并率

Conditional Mass Functions and Merger Rates of Dark Matter Halos in the Ellipsoidal Collapse Model

Jun Zhang, Chung-Pei Ma, Onsi Fakhouri

摘要:

基于球形和椭球形引力坍缩的解析模型已经被用来推导出暗物质晕及其前身的质量函数(条件质量函数)。椭球模型通常提供了一个更好的匹配模拟结果,但一直没有简单的解析表达式,在这个模型中的条件质量函数是准确的小的时间步长,一个限制,这是很重要的产生晕合并树和计算晕合并率。我们纠正的情况下,推导出精确的解析公式的首次穿越分布,条件质量函数,和晕合并率在椭球崩溃模型的限制小的回顾时间。结果表明,与Sheth & Tormen(2002)的球形坍缩模型和椭球模型相比,我们的公式更接近Millennium的模拟结果。

英文摘要:

Analytic models based on spherical and ellipsoidal gravitational collapse have been used to derive the mass functions of dark matter halos and their progenitors (the conditional mass function). The ellipsoidal model generally provides a better match to simulation results, but there has been no simple analytic expression in this model for the conditional mass function that is accurate for small time steps, a limit that is important for generating halo merger trees and computing halo merger rates. We remedy the situation by deriving accurate analytic formulae for the first-crossing distribution, the conditional mass function, and the halo merger rate in the ellipsoidal collapse model in the limit of small look-back times. We show that our formulae provide a closer match to the Millennium simulation results than those in the spherical collapse model and the ellipsoidal model of Sheth & Tormen (2002).

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