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Title:
Departure from hierarchial clustering relations for two-, three-, and four-point correlation functions: Analysis of cosmological N-body simulations
Authors:
Suto, Yasushi; Matsubara, Takahiko
Affiliation:
AA(Kyoto Univ., Kyoto, Japan), AB(Kyoto Univ., Kyoto, Japan)
Publication:
The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 420, no. 2, p. 504-511 (ApJ Homepage)
Publication Date:
01/1994
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Astronomical Models, Cosmology, Galactic Clusters, Many Body Problem, Points (Mathematics), Dark Matter, Particle Density (Concentration), Probability Theory, Red Shift, Velocity Distribution
DOI:
10.1086/173581
Bibliographic Code:
1994ApJ...420..504S

Abstract

We have studied two-, three-, and four-point correlation functions using the cosmological N-body simulations aiming at quantifying their mutual relations. Particular attention was paid to see whether or not they obey the hierarchial clustering Ansatz which states that N-body correlation functions of cosmological gravitating systems are written down as N - 1 products of two-point correlation functions. In our analysis, different geometrical configurations of three and four points are treated separately, which enable us to quantify for the first time configuration-dependent behavior of the correlations functions up to the fourth order. We found that the hierarchial clustering Ansatz holds only very approximately, and that there is clear evidence against the Ansatz especially in strongly nonlinear regimes of fluctuations. We discuss in detail how the departure from the Ansatz depends on the underlying fluctuation spectrum and the configurations of three and/or four points. The effect of peculiar velocity field makes the correlation functions in redshift space obey the hierarchical clustering Ansatz better than in real space. Thus a straightforward analysis of redshift surveys would lead to a misleading result in this sense.

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