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• W1988448796 abstract "Perturbation theory (PT) applied to a cosmological density field with Gaussian initial fluctuations suggests a specific hierarchy for the correlation functions when the variance is small. In particular quantitative predictions have been made for the moments and the shape of the one-point probability distribution function (PDF) of the top-hat smoothed density. In this paper we perform a series of systematic checks of these predictions against N-body computations in both 2D and 3D with a wide range of featureless power spectra. In agreement with previous studies, we found that the reconstructed PDFs work remarkably well down to very low probabilities, even when the variance approaches unity. Our results for 2D reproduce the features for the 3D dynamics. In particular we found that the PT predictions are more accurate for spectra with less power on small scales. In the highly non-linear regime, on the other hand, different assumptions regarding amplitudes of different tree topologies contributing to higher-order correlation functions lead to specific predictions regarding the scaling properties of the void probability function (VPF) and count probability distribution function (CPDF). However most efforts to determine these amplitudes from dynamical theory of gravitational clustering have led to oversimplification of Born, Bogoliubov, Green, Kirkwood and Yvon (BBGKY) equations in the highly non-linear regime. Generic predictions regarding VPF and CPDF were made assuming that these amplitudes can be constructed from the multiplicative nature of vertex amplitudes appearing in the tree level approximation of correlation hierarchy. We test these predictions against simulations in 2D and 3D and determine the unknown parameters that appear as a result of the lack of complete knowledge of all hierarchal amplitudes. These studies have been done with unprecedented dynamical range, especially for the 2D case, allowing in particular more robust determination of the asymptotic behaviour of the VPF, confirming scaling arguments. We have introduced a new method for correcting the finite-volume effect in determination of higher-order correlation functions that is based on scaling properties and the use of factorial moments. Results of analysis using this method are presented." @default.
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• W1988448796 date "1999-03-01" @default.
• W1988448796 modified "2023-09-25" @default.
• W1988448796 title "Scaling in gravitational clustering, two- and three-dimensional dynamics" @default.
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• W1988448796 doi "https://doi.org/10.1046/j.1365-8711.1999.02167.x" @default.
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