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arXiv 1005.2239astro-ph.CO
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超越LCDM的质量函数预测

Mass Function Predictions Beyond LCDM

Suman Bhattacharya, Katrin Heitmann, Martin White, Zarija Lukić, Christian Wagner, Salman Habib

摘要:

晕的质量分布,由晕质量函数指定,是几个宇宙学探测器的关键输入。$N$ -体模拟的规模现在是这样的,在大多数情况下,结果不再需要受到几何学的限制,但仍然受到各种系统不确定性的影响。我们调查和讨论这些差异的原因。量化误差源,并适当补偿他们,我们进行了高统计研究暗物质晕67 $N$体模拟调查的质量函数及其演变的参考$Λ$ CDM宇宙学和一组$w$ CDM宇宙学。对于参考$Λ$ CDM宇宙学(接近WMAP 5),我们量化了作为红移函数的质量函数形式的普适性的破坏,发现红移$z=0$和$z=2$之间的普适性形式的演化高达10%。对于宇宙学非常接近这个参考,我们提供了一个拟合公式,我们的结果(不断发展)$Λ$ CDM质量函数的质量范围为$6\cdot 10^{11}-3\cdot 10^{15}$ M $_{\odot}$的估计精度约为2%。$w$ CDM宇宙学的集合取自Coyote宇宙模拟套件。该套件的质量函数(包括$Λ$ CDM宇宙学和其他具有$w\simeq-1$的宇宙学)由参考$Λ$ CDM情况的拟合公式描述,精确度为10%,但具有明显的系统偏差。我们认为,作为一个结果,拟合公式的基础上的普遍形式的质量函数可能有有限的效用,在高精度的宇宙学应用。

英文摘要:

The mass distribution of halos, as specified by the halo mass function, is a key input for several cosmological probes. The sizes of $N$-body simulations are now such that, for the most part, results need no longer be statistics-limited, but are still subject to various systematic uncertainties. We investigate and discuss some of the reasons for these differences. Quantifying error sources and compensating for them as appropriate, we carry out a high-statistics study of dark matter halos from 67 $N$-body simulations to investigate the mass function and its evolution for a reference $Λ$CDM cosmology and for a set of $w$CDM cosmologies. For the reference $Λ$CDM cosmology (close to WMAP5), we quantify the breaking of universality in the form of the mass function as a function of redshift, finding an evolution of as much as 10% away from the universal form between redshifts $z=0$ and $z=2$. For cosmologies very close to this reference we provide a fitting formula to our results for the (evolving) $Λ$CDM mass function over a mass range of $6\cdot 10^{11}-3\cdot 10^{15}$ M$_{\odot}$ to an estimated accuracy of about 2%. The set of $w$CDM cosmologies is taken from the Coyote Universe simulation suite. The mass functions from this suite (which includes a $Λ$CDM cosmology and others with $w\simeq-1$) are described by the fitting formula for the reference $Λ$CDM case at an accuracy level of 10%, but with clear systematic deviations. We argue that, as a consequence, fitting formulae based on a universal form for the mass function may have limited utility in high precision cosmological applications.

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