基于拉格朗日摄动理论的$N$体模拟中的初始条件瞬变过程III：GADGET-2程序的情况
Transients from Initial Conditions Based on Lagrangian Perturbation Theory in $N$-body Simulations III: The Case of GADGET-2 Code
摘要：
在现代宇宙学中，对理论预测的精度要求越来越高。在宇宙学$N$ -体模拟中，高阶拉格朗日微扰对初始条件的影响表现为物质密度场的统计量。我们考虑了三阶拉格朗日扰动（3LPT）对初始条件的影响，这些影响可以应用于Gadget-2代码。然后，作为统计量，比较了初始条件下不同阶扰动情况下物质密度场的非高斯性。然后，我们证明了初始条件的有效性与二阶拉格朗日摄动（2LPT）。
英文摘要：
In modern cosmology, the precision of the theoretical prediction is increasingly required. In cosmological $N$-body simulations, the effect of higher-order Lagrangian perturbation on the initial conditions appears in terms of statistical quantities of matter density field. We have considered the effect of third-order Lagrangian perturbation (3LPT) on the initial conditions, which can be applied to Gadget-2 code. Then, as statistical quantities, non-Gaussianity of matter density field has been compared between cases of different order perturbations for the initial conditions. Then, we demonstrate the validity of the initial conditions with second-order Lagrangian perturbation (2LPT).
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