Imprints of dark energy on cosmic structure formation: II) Non-Universality of the halo mass function
Imprints of dark energy on cosmic structure formation: II) Non-Universality of the halo mass function
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DOI：
10.1111/j.1365-2966.2010.17573.x
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发表时间：
2010-01
影响因子：
4.8
通讯作者：
J. Courtin;Y. Rasera;J. Alimi;Pier Stefano Corasaniti;V. Boucher;A. Fűzfa
中科院分区：
文献类型：
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作者：
J. Courtin;Y. Rasera;J. Alimi;Pier Stefano Corasaniti;V. Boucher;A. Fűzfa
在暗能量宇宙学的背景下研究晕质量函数的普适性。这种广泛使用的近似假设质量函数可以表示为物质密度ω_m和均方根线性密度涨落σ的函数，而不依赖于暗能量或红移的性质。为了验证这一假设，我们对不同的宇宙学模型进行了一系列15个高分辨率的N体模拟。这些包括三个LCDM宇宙学最佳拟合WMAP-1，3和5年的数据，和三个玩具模型的特点是一个Ratra-Peebles quintessence潜力与不同的斜率和暗能量密度的金额。这些玩具模型在背景和线性水平上具有非常不同的进化历史，但具有相同的sigma8值。对于这些模型中的每一个，我们测量的质量函数从目录中的晕识别的模拟使用的朋友圈（FoF）算法。我们发现红移依赖的偏差从一个普遍的行为，远高于数值的不确定性和非随机的起源，这与线性增长因子的研究宇宙学。以球形坍缩为指导，我们证明了这种偏差是由非线性坍缩和维里化过程的宇宙学依赖性引起的。对于实际应用，我们提供了一个拟合公式的质量函数精确到5倍，在所有范围内的宇宙学研究。我们还推导出了FoF连接参数和维里超密度之间的经验关系，它可以解释大多数偏离精确普遍行为的原因。总的来说，这些结果表明，晕质量函数包含独特的宇宙学信息，因为它携带了过去宇宙演化的化石记录。
The universality of the halo mass function is investigated in the context of dark energy cosmologies. This widely used approximation assumes that the mass function can be expressed as a function of the matter density omega_m and the rms linear density fluctuation sigma only, with no explicit dependence on the properties of dark energy or redshift. In order to test this hypothesis we run a series of 15 high-resolution N-body simulations for different cosmological models. These consists of three LCDM cosmologies best fitting WMAP-1, 3 and 5 years data, and three toy-models characterized by a Ratra-Peebles quintessence potential with different slopes and amounts of dark energy density. These toy models have very different evolutionary histories at the background and linear level, but share the same sigma8 value. For each of these models we measure the mass function from catalogues of halos identified in the simulations using the Friend-of-Friend (FoF) algorithm. We find redshift dependent deviations from a universal behaviour, well above numerical uncertainties and of non-stochastic origin, which are correlated with the linear growth factor of the investigated cosmologies. Using the spherical collapse as guidance, we show that such deviations are caused by the cosmology dependence of the non-linear collapse and virialization process. For practical applications, we provide a fitting formula of the mass function accurate to 5 percents over the all range of investigated cosmologies. We also derive an empirical relation between the FoF linking parameter and the virial overdensity which can account for most of the deviations from an exact universal behavior. Overall these results suggest that the halo mass function contains unique cosmological information since it carries a fossil record of the past cosmic evolution.