Scale dependence of three-point correlation functions: Model predictions and redshift-space contamination
Takahiko Matsubara, Yasushi Suto · The Astrophysical Journal · 1994
Three-point correlation functions of galaxies ζ(r_1_, r_2_, r_3_) in several cosmological models are examined in detail by using cosmological N-body simulation data. In particular, we study the dependence of ζ on the configurations of triplet (r_1_, r_2_, r_3_) which is compared with the hierarchical clustering Ansatz. We found a clear indication of the breakdown of the hierarchical Ansatz, the degree of which sensitively depends on the underlying fluctuation spectrum. Three-point correlation functions computed in redshift space, on the other hand, are shown to satisfy the hierarchical Ansatz quite remarkably; in the case of low-density cold dark matter universes, the normalized amplitude of ζ(r_1_, r_2_, r_3_) is almost unity on scales 0.1 h^-1^ Mpc <~ r <~ 7 h^-1^ Mpc independently of the triplet configurations. Subject heading's: cosmology: theory - dark matter - large-scale structure of universe - methods: numerical