Kavli Affiliate: Nickolay Y. Gnedin
| First 5 Authors: Huanqing Chen, Nickolay Y. Gnedin, Philip Mansfield, ,
| 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
$sigma_L$, the linear rms density fluctuation. For redshift-space density and
the geometric mean of real- and redshift-space densities, we introduce a third
parameter, $s_L={sqrt{langle(dv^L_{rm pec}/dr)^2rangle}}/{H}$. 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.
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