Scale dependence of three-point correlation functions: Model predictions and redshift-space contamination

Details Scale dependence of three-point correlation functions: Model predictions and redshift-space contamination Scale dependence of three-point correlation functions: Model predictions and redshift-space contamination

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...420..497m&link_type=abstract

The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 420, no. 2, p. 497-503

Mathematics

Logic

40

Astronomical Models, Correlation, Cosmology, Many Body Problem, Atomic Energy Levels, Dark Matter, Power Spectra, Red Shift

Scientific paper

Three-point correlation functions of galaxies zeta (r1, r2, r3) in several cosmological models are examined in detail by using cosmological N-body simulation data. In particular, we study the dependence of zeta on the configurations of triplet (r1, r2, r3) which is compared with the hierarchial 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 hierarchial Ansatz quite remarkably; in the case of low-density cold dark matter universes, the normalized amplitude of zeta (r1, r2, r3) is almost unity on scales 0.1/h Mpc is less than or approximately r is less than or approximately 7/h Mpc independently of the triplet configurations.

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