The shape of the two-point correlation function - Evidence for a double power law

Abstract

view Abstract Citations (15) References (66) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Shape of the Two-Point Correlation Function: Evidence for a Double Power Law Calzetti, Daniela ; Giavalisco, Mauro ; Meiksin, Avery Abstract We examine the two-point galaxy correlation functions of the Zwicky/CfA1, the Southern Sky Redshift Survey catalogs, and a sample of IRAS galaxies. To minimize the effects of peculiar velocities, we examine the angular and projected correlation functions and obtain the spatial correlation function for the CfA1 and SSRS samples by inverting the projected function. From the χ^2^ analysis, we find that a double power law model for 1 + ξ(r) is a fair generalization over the range of large separations (5 h^-1^ < r < 30 h^-1^ Mpc) of the single power law model for ξ(r) where ξ(r) is the two-point correlation function of galaxies. Indeed, the double power law fits the data over a factor of 2 larger in separation (~30 h^-1^ Mpc). The fit we obtain agrees well with those found by Dekel & Aarseth for the CfA1 survey and by Guzzo et al. for the Perseus-Pisces redshift catalog, based on redshift separations. Our analysis demonstrates that the double power law nature is geometrical and not a consequence of peculiar motions. We find the function 1 + ξ(r) for clusters of galaxies exhibits the same power law as that for the galaxies on large scales. We consider some consequences of such large-scale clustering, including a different normalization of the power spectrum of primordial density fluctuations. Publication: The Astrophysical Journal Pub Date: October 1992 DOI: 10.1086/171867 Bibcode: 1992ApJ...398..429C Keywords: Computational Astrophysics; Galactic Clusters; Statistical Correlation; Universe; Angular Correlation; Infrared Astronomy Satellite; Power Spectra; Red Shift; Sky Surveys (Astronomy); Astrophysics; GALAXIES: CLUSTERING; COSMOLOGY: LARGE-SCALE STRUCTURE OF UNIVERSE full text sources ADS |