Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-12-18
Astrophys.J.547:L93-L96,2001
Astronomy and Astrophysics
Astrophysics
10 pages, 3 figures
Scientific paper
10.1086/318914
We propose a simple and accurate method for computing analytically the mass correlation function for cold dark matter and scale-free models that fits N-body simulations over a range that extends from the linear to the strongly non-linear regime. The method, based on the dynamical evolution of the pair conservation equation, relies on a universal relation between the pair-wise velocity and the smoothed correlation function valid for high and low density models, as derived empirically from N-body simulations. An intriguing alternative relation, based on the stable-clustering hypothesis, predicts a power-law behavior of the mass correlation function that disagrees with N-body simulations but conforms well to the observed galaxy correlation function if negligible bias is assumed. The method is a useful tool for rapidly exploring a wide span of models and, at the same time, raises new questions about large scale structure formation.
Bouchet Francois
Caldwell Robert R.
Juszkiewicz Roman
Steinhardt Paul J.
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