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arXiv 1401.7334astro-ph.CO
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晕质量定义和多重性函数

Halo Mass Definition and Multiplicity Function

Enric Juan, Eduard Salvador-Solé, Guillem Domènech, Alberto Manrique

摘要:

通过比较推导晕质量函数的偏移集和CUSP形式,我们研究了冷暗物质(CDM)晕多重函数性质中质量定义的作用.我们表明,从三轴峰,经历椭圆形的崩溃和维里化形成的晕的密度分布是这样的平均内部密度和外部局部密度之间的比率基本上是独立的质量。这导致,对于球形过密度$Δ$和连接长度$b$的合适值,SO和FoF质量基本上彼此相等,并且相应的多重性函数基本上相同。经历过椭球坍缩的晕的过密度与它们按照球形顶帽模型形成的情况相同,这导致对应于通常维里过密度的$b$值$Δ_{vir}$等于$\sim$ 0.2。由这样的质量定义得到的多重性函数,表示为球形坍缩的顶帽高度的函数,在所有CDM宇宙学中是非常近似普适的。其原因是,对于这样的质量定义,椭球坍缩和维里化的顶帽密度对比接近于一个普适值,等于$\sim$ 0.9倍于通常的球形坍缩的顶帽密度对比。

英文摘要:

Comparing the excursion set and CUSP formalisms for the derivation of the halo mass function, we investigate the role of the mass definition in the properties of the multiplicity function of cold dark matter (CDM) haloes. We show that the density profile for haloes formed from triaxial peaks that undergo ellipsoidal collapse and virialisation is such that the ratio between the mean inner density and the outer local density is essentially independent of mass. This causes that, for suited values of the spherical overdensity $Δ$ and the linking length $b$, SO and FoF masses are essentially equivalent to each other and the respective multiplicity functions are essentially the same. The overdensity for haloes having undergone ellipsoidal collapse is the same as if they had formed according to the spherical top-hat model, which leads to a value of $b$ corresponding to the usual virial overdensity, $Δ_{vir}$, equal to $\sim$ 0.2. The multiplicity function resulting from such mass definitions, expressed as a function of the top-hat height for spherical collapse, is very approximately universal in all CDM cosmologies. The reason for this is that, for such mass definitions, the top-hat density contrast for ellipsoidal collapse and virialisation is close to a universal value, equal to $\sim$ 0.9 times the usual top-hat density contrast for spherical collapse.

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