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19 April 2024 |
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A Simple Method for Computing the Non-Linear Mass Correlation Function with Implications for Stable Clustering | | R. R. Caldwell
; Roman Juszkiewicz
; Paul J. Steinhardt
; Francois Bouchet
; | | Date: |
18 Dec 1999 | | Journal: | Astrophys.J. 547 (2001) L93-L96 | | Subject: | astro-ph | | Abstract: | 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. | | Source: | arXiv, astro-ph/9912395 | | Services: | Forum | Review | PDF | Favorites | |
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