Approximating Density Probability Distribution Functions Across Cosmologies

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 slop...

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Bibliographic Details
Published in:The Astrophysical journal Vol. 929; no. 2; pp. 135 - 142
Main Authors: Chen, Huanqing, Gnedin, Nickolay Y., Mansfield, Philip
Format: Journal Article
Language:English
Published: Philadelphia The American Astronomical Society 01.04.2022
IOP Publishing
Subjects:
ASTRONOMY AND ASTROPHYSICS
Astrophysics
Bianchi cosmology
Cosmological evolution
Cosmological models
Cosmological parameters
Cosmology
Dark matter
Distribution functions
Hierarchical cosmology
Large-scale structure of the universe
Mathematical analysis
N-body simulations
Parameters
Probability distribution
Probability distribution functions
Red shift
Redshifted
Self-similarity
Space density
ISSN:0004-637X, 1538-4357
Online Access:Get full text
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Summary: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 σ 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 = 〈 dv pec L / dr 2 〉 / 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.
Bibliography:Galaxies and Cosmology
AAS34701
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
AC02-07CH11359
FERMILAB-PUB-21-659-T; arXiv:2109.06194
USDOE Office of Science (SC), High Energy Physics (HEP)
ISSN:0004-637X
1538-4357
DOI:10.3847/1538-4357/ac5e9f