The Power Spectrum of Rich Clusters on Near Gigaparsec Scales

Abstract

Recently, there have been numerous analyses of the redshift space power spectrum of rich clusters of galaxies. Some of these analyses indicate a "bump" in the Abell/ACO cluster power spectrum around k= 0.05hMpc^-1. Such a feature in the power spectrum excludes most standard formation models and indicates possible periodicity in the distribution of large-scale structure. However, the data used in detecting this peak include clusters with estimated redshifts and/or clusters outside of Abell's (1958) statistical sample, i.e. R=0 clusters. Here, we present estimations of the redshift-space power spectrum for a newly expanded sample of 637 R >= 1 Abell/ACO clusters which has a constant number density to z = 0.10 in the Southern Hemisphere and a nearly constant number density to z = 0.14 in the Northern Hemisphere. The volume sampled, \~10^8h^{-3}Mpc^{3}, is large enough to accurately calculate the power per mode to scales approaching 10^3h^{-1}Mpc. We find the shape of the power spectrum is is a power-law on scales 0.02 <= k <= 0.10hMpc^{-1}, with enhanced power over less rare clusters, such as APM clusters. The slope of this power-law is n= -1.4. The power spectrum is essentially featureless, although we do see a dip near $k=0.04h$Mpc${}^{-1}$ which cannot be considered statistically significant based on this data alone. We do not detect a narrow peak at $k\sim 0.05h$Mpc${}^{-1}$ and there is no evidence for a turn-over in the power spectrum as has been previously reported. We compare the shape of the Abell/ACO rich cluster power spectrum to various linear models.

14 pages, 7 figures. Updated with accepted version to appear in ApJ

References in corpus (5)

• Decorrelating the Power Spectrum of Galaxies
• Discovery of Extreme Examples of Superclustering in Aquarius
• Projection, Spatial Correlations, and Anisotropies in a Large and Complete Sample of Abell Clusters
• The Power Spectrum of Clusters of Galaxies and the Press-Schechter Approximation
• Steps toward the power spectrum of matter. III. The primordial spectrum

Cited by in corpus (27)

• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The 3D power spectrum of galaxies from the SDSS
• Near-IR Properties of Galaxy Clusters: Luminosity as a Binding Mass Predictor and the State of Cluster Baryons
• A New Measurement of the X-ray Temperature Function of Clusters of Galaxies
• Optical and X-ray clusters as tracers of the supercluster-void network. I Superclusters of Abell and X-ray clusters
• A Systematic Analysis of Caustic Methods for Galaxy Cluster Masses
• Mitigating contamination in LSS surveys: a comparison of methods
• The XXL Survey: XVI. The clustering of X-ray selected galaxy clusters at z~0.3
• Possible Detection of Baryonic Fluctuations in the Large-Scale Structure Power Spectrum
• A new search for features in the primordial power spectrum
• The 2dF QSO Redshift Survey - XI. The QSO Power Spectrum
• The ROSAT-ESO Flux-Limited X-Ray (REFLEX) Galaxy Cluster Survey VI: Constraints on the cosmic matter density from the KL power spectrum
• Cluster correlations in redshift space
• A Parametrized Galaxy Catalog Simulator For Testing Cluster Finding, Mass Estimation and Photometric Redshift Estimation in Optical and Near Infrared Surveys
• Two 100 Mpc-scale structures in the 3-D distribution of radio galaxies and their implications
• C${}^3$-Cluster Clustering Cosmology I. New constraints on the cosmic growth rate at z~0.3 from redshift-space clustering anisotropies
• Recent Dynamical Relaxation of Galaxy Clusters: Evidence for a Low-${\Omega }_m$ Universe
• Optical and X-ray clusters as tracers of the supercluster-void network. II The spatial correlation function
• Detecting the Baryons in Matter Power Spectra
• Cosmological parameters from complementary observations of the Universe
• Detection of 20-30 Mpc-scale Galaxy Structures Embedded in 100 Mpc-scale Structures of Quasars and MgII Absorbers at z~0.8 and z~1.2
• Galaxy-QSO Correlation induced by Weak Gravitational Lensing arising from Large-Scale Structure
• The supercluster-void network V. Alternative evidence for its regularity
• The Power Spectrum of Flux Limited X-Ray Galaxy Cluster Surveys
• Observational Matter Power Spectrum and the Height of the Second Acoustic Peak
• Toward optimal cluster power spectrum analysis
• QSO lensing magnification associated with galaxy groups