2001/07/28 by E. Gaztañaga, E. Gaztanaga, P. Fosalba +2
Physics and Astronomy · #Amplitude #Astrophysics #Classical mechanics #Cosmology and Gravitation Theories #Dark matter #Galaxies: Formation, Evolution, Phenomena #Gaussian #Gravitation #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #Scientific Research and Discoveries #Statistical physics #Theoretical physics #Universe #astro-ph
paper · pdf · doi:10.1046/j.1365-8711.2002.05110.x
published as Mon.Not.Roy.Astron.Soc. 331 (2002) 13 · 10 LaTeX pages, 9 figs, submitted to MNRAS
arxiv created 2001/07/28 · openalex publication_date 2002/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present new perturbation theory (PT) predictions in the spherical collapse (SC) model for the two-point moments of the large-scale distribution of dark matter density in the Universe. We assume that these fluctuations grow under gravity from small Gaussian initial conditions. These predictions are compared with numerical simulations and with previous PT results to assess their domain of validity. We find that the SC model provides in practice a more accurate description of two-point moments than previous tree-level PT calculations. The agreement with simulations is excellent for a wide range of scales (5–50 h−1 Mpc) and fluctuation amplitudes (σ2≃0.02–2). When normalized to unit variance these results are independent of the cosmological parameters and of the initial amplitude of fluctuations. The two-point moments provide a convenient tool for studying the statistical properties of gravitational clustering for fairly non-linear scales and complicated survey geometries, such as those probing the clustering of the Lyα forest. In this context, the perturbative SC predictions presented here provide a simple and novel way of testing the gravitational instability paradigm.