Transients from initial conditions based on Lagrangian perturbation theory in $N$-body simulations II: the effect of the transverse mode

Abstract

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.

11 pages, 2 figures, accepted for publication in JCAP; v2: Major revision, v3: unnecessary references are removed, v4: several typos are corrected. arXiv admin note: substantial text overlap with arXiv:0706.1334

References in corpus (4)

• Dynamics of dark energy
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Transients from Initial Conditions in Cosmological Simulations
• Transients from initial conditions based on Lagrangian perturbation theory in N-body simulations

Cited by in corpus (2)

• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• Transients from Initial Conditions Based on Lagrangian Perturbation Theory in $N$-body Simulations III: The Case of GADGET-2 Code