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

分类： 天文学 >> 天文学 提交时间： 2023-02-19

Ming Li Jun Pan Pengjie Zhang Jie Wang Longlong Feng Liang Gao Xi Kang Guoliang Li Weipeng Lin Haihui Wang

摘要： 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 mode 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 about the growth of dark matter's density fluctuation in Fourier space.

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