Work

Approximating Density Probability Distribution Functions Across Cosmologies

Year: 2022
Type: article
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 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, <?CDATA ${s}_{L}=\sqrt{\langle {\left({{dv}}_{\mathrm{pec}}^{L}/{dr}\right)}^{2}\rangle }/H$?> 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.
Language: English
Open Access status: gold
Estimated APC paid: $4,499
OpenAlex ID: W3200326568
FWCI: 0.151
Cites: 24
Cited by: 2
Related to: 10