Approximating Density Probability Distribution Functions Across
Cosmologies
H. Chen, N. Gnedin, and P. Mansfield. (2021)cite arxiv:2109.06194Comment: 9 pages, 10 figures, submitted to ApJ, comments welcome.
Abstract
Using a suite of self-similar cosmological simulations, we measure the
probability distribution functions (PDFs) of real-space density, redshift-space
density, and their geometric mean. We find that the real-space density PDF is
well-described by a function of two parameters: $n_s$, the spectral slope, and
$\sigma_L$, the linear rms density fluctuation. For redshift-space density and
the geometric mean of real- and redshift-space densities, we introduce a third
parameter, $s_L=łangle(dv^L_pec/dr)^2\rangle/H$. We find that
density PDFs for the LCDM cosmology is also well-parameterized by these three
parameters. As a result, we are able to use a suite of self-similar
cosmological simulations to approximate density PDFs for a range of
cosmologies. We make the density PDFs publicly available and provide an
analytical fitting formula for them.
Description
Approximating Density Probability Distribution Functions Across Cosmologies
%0 Generic
%1 chen2021approximating
%A Chen, Huanqing
%A Gnedin, Nickolay Y.
%A Mansfield, Philip
%D 2021
%K library
%T Approximating Density Probability Distribution Functions Across
Cosmologies
%U http://arxiv.org/abs/2109.06194
%X Using a suite of self-similar cosmological simulations, we measure the
probability distribution functions (PDFs) of real-space density, redshift-space
density, and their geometric mean. We find that the real-space density PDF is
well-described by a function of two parameters: $n_s$, the spectral slope, and
$\sigma_L$, the linear rms density fluctuation. For redshift-space density and
the geometric mean of real- and redshift-space densities, we introduce a third
parameter, $s_L=łangle(dv^L_pec/dr)^2\rangle/H$. We find that
density PDFs for the LCDM cosmology is also well-parameterized by these three
parameters. As a result, we are able to use a suite of self-similar
cosmological simulations to approximate density PDFs for a range of
cosmologies. We make the density PDFs publicly available and provide an
analytical fitting formula for them.
@misc{chen2021approximating,
abstract = {Using a suite of self-similar cosmological simulations, we measure the
probability distribution functions (PDFs) of real-space density, redshift-space
density, and their geometric mean. We find that the real-space density PDF is
well-described by a function of two parameters: $n_s$, the spectral slope, and
$\sigma_L$, the linear rms density fluctuation. For redshift-space density and
the geometric mean of real- and redshift-space densities, we introduce a third
parameter, $s_L={\sqrt{\langle(dv^L_{\rm pec}/dr)^2\rangle}}/{H}$. We find that
density PDFs for the LCDM cosmology is also well-parameterized by these three
parameters. As a result, we are able to use a suite of self-similar
cosmological simulations to approximate density PDFs for a range of
cosmologies. We make the density PDFs publicly available and provide an
analytical fitting formula for them.},
added-at = {2021-09-15T15:11:40.000+0200},
author = {Chen, Huanqing and Gnedin, Nickolay Y. and Mansfield, Philip},
biburl = {https://www.bibsonomy.org/bibtex/2417b1cd5068b6fc73c9c27fed2eddcfa/gpkulkarni},
description = {Approximating Density Probability Distribution Functions Across Cosmologies},
interhash = {496c1cf3c761f3efffd620e8576ac2cc},
intrahash = {417b1cd5068b6fc73c9c27fed2eddcfa},
keywords = {library},
note = {cite arxiv:2109.06194Comment: 9 pages, 10 figures, submitted to ApJ, comments welcome},
timestamp = {2021-09-15T15:11:40.000+0200},
title = {Approximating Density Probability Distribution Functions Across
Cosmologies},
url = {http://arxiv.org/abs/2109.06194},
year = 2021
}