arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1407.2637astro-ph.CO
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早期宇宙晕形成的非线性偏差

Nonlinear Bias of Cosmological Halo Formation in the Early Universe

Kyungjin Ahn, Ilian T. Iliev, Paul R. Shapiro, ChaiChalit Srisawat

摘要:

我们提出了估计的非线性偏差的宇宙学晕形成,跨越了广泛的范围内的晕质量从$\sim 10^{5} M_\odot$到$\sim 10^{12} M_\odot$,基于一套高分辨率的宇宙学N体模拟和理论预测。在不同的滤波尺度下,晕轮偏差用平均偏差和随机性作为局部超密度($δ$)的函数来表示,局部超密度被实现为均匀网格中单个单元的密度。采样的过密度范围足够宽,以提供对晕形成的完全非线性偏置效应。$δ$和晕人口过密$δ_h$之间的强相关性被发现,随着相当大的随机性。我们发现,经验平均晕偏差匹配,具有良好的精度,预测的峰值背景分裂方法的基础上的偏移集形式主义,只要使用的经验,全球平均晕质量函数。因此,这种偏差形式主义是不敏感的不确定性所造成的不同晕识别方案,并可以普遍适用。我们还发现,有偏晕数的概率分布函数具有比纯泊松散粒噪声更宽的分布,这归因于亚细胞尺度晕相关。我们明确地计算这个关联函数,并表明,过密和欠密区域具有正相关性,导致随机性大于泊松散粒噪声的范围内的晕和晕崩溃时代,我们研究。

英文摘要:

We present estimates of the nonlinear bias of cosmological halo formation, spanning a wide range in the halo mass from $\sim 10^{5} M_\odot$ to $\sim 10^{12} M_\odot$, based upon both a suite of high-resolution cosmological N-body simulations and theoretical predictions. The halo bias is expressed in terms of the mean bias and stochasticity as a function of local overdensity ($δ$), under different filtering scales, which is realized as the density of individual cells in uniform grids. The sampled overdensities span a range wide enough to provide the fully nonlinear bias effect on the formation of haloes. A strong correlation between $δ$ and halo population overdensity $δ_h$ is found, along with sizable stochasticity. We find that the empirical mean halo bias matches, with good accuracy, the prediction by the peak-background split method based on the excursion set formalism, as long as the empirical, globally-averaged halo mass function is used. Consequently, this bias formalism is insensitive to uncertainties caused by varying halo identification schemes, and can be applied generically. We also find that the probability distribution function of biased halo numbers has wider distribution than the pure Poisson shot noise, which is attributed to the sub-cell scale halo correlation. We explicitly calculate this correlation function and show that both overdense and underdense regions have positive correlation, leading to stochasticity larger than the Poisson shot noise in the range of haloes and halo-collapse epochs we study.

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