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About One-point Statistics of the Ratio of Two Fourier-transformed Cosmic Fields and an Application.

Authors :
Li, Ming
Pan, Jun
Zhang, Pengjie
Wang, Jie
Feng, Longlong
Gao, Liang
Kang, Xi
Li, Guoliang
Lin, Weipeng
Wang, Haihui
Source :
Astrophysical Journal. 7/1/2022, Vol. 933 Issue 1, p1-12. 12p.
Publication Year :
2022

Abstract

The Fourier transformation is an effective and efficient operation of Gaussianization at the one-point level. Using a set of N -body simulation data, we verified that the one-point distribution functions of the dark matter momentum divergence and density fields closely follow complex Gaussian distributions. The one-point distribution function of the quotient of two complex Gaussian variables is introduced and studied. Statistical theories are then applied to model one-point statistics about the growth of individual Fourier modes of the dark matter density field, which can be obtained by the ratio of two Fourier-transformed cosmic fields. Our simulation results proved that the models based on the Gaussian approximation are impressively accurate, and our analysis revealed many interesting aspects of the growth of dark matter’s density fluctuation in Fourier space. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0004637X
Volume :
933
Issue :
1
Database :
Academic Search Index
Journal :
Astrophysical Journal
Publication Type :
Academic Journal
Accession number :
157873771
Full Text :
https://doi.org/10.3847/1538-4357/ac6fdd