A Simple Method for Computing the Non-Linear Mass Correlation Function with Implications for Stable Clustering
| Autor: | Paul J. Steinhardt, François R. Bouchet, R. Juszkiewicz, Robert R. Caldwell |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1999 |
| Předmět: |
Physics
Cold dark matter Relation (database) Astrophysics (astro-ph) FOS: Physical sciences Astronomy and Astrophysics Astrophysics Galaxy Correlation function (statistical mechanics) Nonlinear system Space and Planetary Science Simple (abstract algebra) Range (statistics) Statistical physics Cluster analysis |
| Popis: | 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. 10 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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