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arXiv 0802.0198astro-ph
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暗物质晕的合并率

Merger Rates of Dark-Matter Haloes

Eyal Neistein, Avishai Dekel

摘要:

我们推导出解析合并率的暗物质晕的框架内的扩展Press-Schechter(EPS)形式主义。一旦我们意识到,在一个小的时间步长的限制下,典型的合并涉及两个以上的祖先,与早期研究中采用的二元合并假设相反,这些比率在EPS内变得自洽。我们提出了一个通用的方法来计算合并率,跨越EPS条件质量函数所允许的解决方案的范围内,并专注于一个特定的解决方案,试图在N体模拟的合并率相匹配。修正后的每股收益合并率比莱西和科尔早期的估计值更准确,对于大型合并,修正后的每股收益合并率准确率约为20%,对于质量比为1:10^4的小型合并,修正后的每股收益合并率准确率高达3倍。基于修正后的合并率,我们提出了一种新的算法来构建Monte-Carlo EPS合并树,这可能是有用的半解析建模。我们提供了几个量的解析表达式,并绘制了数值结果,这些量在星系形成的研究中非常有用。这包括(a)给定质量比的合并速率/给定最终晕,(b)合并增加到晕的质量分数,和(c)合并速率/给定主要祖星。晕的产生和破坏率用于自一致性检查。我们的方法计算合并率可以适用于有条件的质量函数超出EPS,如获得的椭球崩溃模型或提取$N$体模拟。

英文摘要:

We derive analytic merger rates for dark-matter haloes within the framework of the Extended Press-Schechter (EPS) formalism. These rates become self-consistent within EPS once we realize that the typical merger in the limit of a small time-step involves more than two progenitors, contrary to the assumption of binary mergers adopted in earlier studies. We present a general method for computing merger rates that span the range of solutions permitted by the EPS conditional mass function, and focus on a specific solution that attempts to match the merger rates in N-body simulations. The corrected EPS merger rates are more accurate than the earlier estimates of Lacey & Cole, by ~20% for major mergers and by up to a factor of ~3 for minor mergers of mass ratio 1:10^4. Based on the revised merger rates, we provide a new algorithm for constructing Monte-Carlo EPS merger trees, that could be useful in Semi-Analytic Modeling. We provide analytic expressions and plot numerical results for several quantities that are very useful in studies of galaxy formation. This includes (a) the rate of mergers of a given mass ratio per given final halo, (b) the fraction of mass added by mergers to a halo, and (c) the rate of mergers per given main progenitor. The creation and destruction rates of haloes serve for a self-consistency check. Our method for computing merger rates can be applied to conditional mass functions beyond EPS, such as those obtained by the ellipsoidal collapse model or extracted from $N$-body simulations.

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