The Effects of Smoothing on the Statistical Properties of the Large-Scale Cosmic Fileds
| dc.creator | Bernardeau, F. | |
| dc.date | 1994-03-10 | |
| dc.date.accessioned | 2026-07-07T02:19:06Z | |
| dc.date.available | 2026-07-07T02:19:06Z | |
| dc.description | It has been shown that the large--scale correlation functions of the density field (and velocity divergence field) follow a specific hierarchy in the quasilinear regime and for Gaussian initial conditions (Bernardeau 1992). The exact relationships between the cumulants of the probability distribution functions (the so-called $S_p$ parameters) are however sensitive to the smoothing window function applied to the fields. In this paper, I present a method to derive the whole series of the $S_p$ parameters when the density field is smoothed with a top--hat window function. The results are valid for any power spectrum and any cosmological parameters. Similar calculations are presented for the velocity divergence field. The resulting shapes of the one--point probability distribution functions of the cosmic density and the velocity divergence fields are given as a function of the power spectrum and $Ω$. Simple analytical fits are proposed when the index of the power spectrum is -1. Comparisons with numerical simulations prove these analytical results to be extremely accurate. | |
| dc.description | 24 pages + 6 figures, uuencoded postscript file, also available by anonymous ftp from ftp.cita.utoronto.ca in directory /cita/francis/smoothing, CITA 94/7 | |
| dc.identifier | https://arxiv.org/abs/astro-ph/9403020 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/9403020 | |
| dc.identifier | Astron.Astrophys. 291 (1994) 697 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/9735 | |
| dc.subject | Astrophysics | |
| dc.title | The Effects of Smoothing on the Statistical Properties of the Large-Scale Cosmic Fileds | |
| dc.type | text |