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arXiv 0711.3603astro-ph
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原始非高斯性对大尺度结构拓扑的影响

The Effect of Primordial Non--Gaussianity on the Topology of Large-Scale Structure

Chiaki Hikage, Peter Coles, Margherita Grossi, Lauro Moscardini, Klaus Dolag, Enzo Branchini, Sabino Matarrese

摘要:

我们使用高分辨率N体模拟研究了原始非高斯性对大尺度宇宙结构发展的影响。特别是,我们专注于“宇宙网”的拓扑性质,定量特征的闵可夫斯基泛函,二次非线性模型与通常的非高斯参数fNL的不同值。在弱非线性区域,我们发现当|fNL| <1000时,由微扰理论导出的解析公式与数值结果在每个MF的幅度的百分之几内一致。在非线性制度中,详细的行为的MFs作为阈值密度的函数偏离更强烈的分析曲线,而原始的非高斯效应的整体幅度保持可比的微扰预测。当包含较小尺度的信息时,由于样本方差的减小,原始非高斯性的影响在统计上变得越来越显著。我们发现,当|fNL| =50时,原始非高斯性的影响与体积为0.125(Gpc/h)^[3]的质量密度场在5 Mpc/h尺度下用高斯滤波器平滑时的样本方差相当。在实际的星系巡天中,这种效应的可探测性将在很大程度上取决于宇宙学参数和星系偏置的残余不确定性。

英文摘要:

We study the effect of primordial non-Gaussianity on the development of large-scale cosmic structure using high-resolution N-body simulations. In particular, we focus on the topological properties of the "cosmic web", quantitatively characterized by the Minkowski Functionals, for models with quadratic non-linearities with different values of the usual non-Gaussianity parameter fNL. In the weakly non-linear regime, we find that analytic formulae derived from perturbation theory agree with the numerical results within a few percent of the amplitude of each MF when |fNL|<1000. In the non-linear regime, the detailed behavior of the MFs as functions of threshold density deviates more strongly from the analytical curves, while the overall amplitude of the primordial non-Gaussian effect remains comparable to the perturbative prediction. When smaller-scale information is included, the influence of primordial non-Gaussianity becomes increasingly significant statistically due to decreasing sample variance. We find that the effect of the primordial non-Gaussianity with |fNL|=50 is comparable to the sample variance of mass density fields with a volume of 0.125(Gpc/h)^3 when they are smoothed by Gaussian filter at a scale of 5Mpc/h. The detectability of this effect in actual galaxy surveys will strongly depend upon residual uncertainties in cosmological parameters and galaxy biasing.

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