在$N$ -体模拟II中基于拉格朗日摄动理论的初始条件的瞬变：横向模式的影响
Transients from initial conditions based on Lagrangian perturbation theory in $N$-body simulations II: the effect of the transverse mode
摘要：
本文研究了精确宇宙学的宇宙学$N$ -体模拟的初始条件。一般来说，Zel'dovich近似一直被应用于$N$ -体模拟的初始条件。这些初始条件提供了不正确的高阶增长。这些由微扰理论初始条件的设置所引起的误差称为瞬变。在前一篇论文中，我们利用基于一阶、二阶和三阶拉格朗日微扰理论的宇宙学$N$ -体模拟，研究了瞬态对密度场非高斯性的影响.在本文中，我们评估的影响，在三阶拉格朗日微扰理论的几个统计量，如功率谱，非高斯，和多重分形维数的横模。阐明了三阶拉格朗日微扰理论中横模的影响是很小的。
英文摘要：
We study the initial conditions for cosmological $N$-body simulations for precision cosmology. In general, Zel'dovich approximation has been applied for the initial conditions of $N$-body simulations for a long time. These initial conditions provide incorrect higher-order growth. These error caused by setting up the initial conditions by perturbation theory is called transients. We investigated the impact of transient on non-Gaussianity of density field by performing cosmological $N$-body simulations with initial conditions based on first-, second-, and third-order Lagrangian perturbation theory in previous paper. In this paper, we evaluates the effect of the transverse mode in the third-order Lagrangian perturbation theory for several statistical quantities such as power spectrum, non-Gaussianty, and multifractal dimensions. Then we clarified that the effect of the transverse mode in the third-order Lagrangian perturbation theory is quite small.
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