Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: Second-order effects
Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: Second-order effects
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DOI：
10.1103/physrevd.105.023527
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发表时间：
2022-01-24
影响因子：
5
通讯作者：
Kuriki, Satoshi
中科院分区：
文献类型：
--
作者：
Matsubara, Takahiko;Hikage, Chiaki;Kuriki, Satoshi
将弱非高斯场中 Minkowski 泛函的二阶公式与数值 N 体模拟进行了比较。最近，闵可夫斯基泛函的弱非高斯公式被扩展为包括一般维度中非高斯性的二阶效应。我们将这个公式应用于宇宙大尺度结构中的三维密度场。二阶公式的参数包括几种偏度和峰度参数。我们应用非线性扰动理论的树级来估计这些参数，包括四次累积量的新颖计算。首先我们将理论值与基于参数值的数值模拟值进行比较，然后我们结合摄动理论测试解析公式的性能。一般而言，二阶公式优于一阶公式。微扰理论的性能取决于定义闵可夫斯基泛函时所应用的平滑半径。详细介绍了定量比较。
The second-order formula of Minkowski functionals in weakly non-Gaussian fields is compared with the numerical N-body simulations. Recently, the weakly non-Gaussian formula of Minkowski functionals is extended to include the second-order effects of non-Gaussianity in general dimensions. We apply this formula to the three-dimensional density field in the large-scale structure of the Universe. The parameters of the second-order formula include several kinds of skewness and kurtosis parameters. We apply tree level of nonlinear perturbation theory to estimate these parameters, including novel calculations of quartic cumulants. First we compare the theoretical values with those of numerical simulations on the basis of parameter values, and next we test the performance of the analytic formula combined with the perturbation theory. The second-order formula outperforms the first-order formula in general. The performance of the perturbation theory depends on the smoothing radius applied in defining the Minkowski functionals. The quantitative comparisons are presented in detail.