论文标题
Minkowski功能和大规模结构中的非线性扰动理论：二阶效应
Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: second-order effects
论文作者
论文摘要
将弱非高斯字段中Minkowski功能的二阶公式与数值$ n $ body模拟进行了比较。最近，Minkowski功能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。我们将此公式应用于宇宙大规模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。我们将树级的非线性扰动理论应用于估计这些参数。首先，我们将理论值与数值模拟的基于参数值进行比较，接下来，我们测试分析公式与扰动理论相结合的性能。二阶公式通常优于一阶公式。扰动理论的性能取决于定义Minkowski功能时应用的平滑半径。定量比较详细介绍。
The second-order formula of Minkowski functionals in weakly non-Gaussian fields is compared with the numerical $N$-body simulations. Recently, 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 the tree-level nonlinear perturbation theory to estimate these parameters. 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.
