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=0.05 h Mpc-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 G. O. Abell's statistical sample, i.e., R=0 clusters. Here we present estimates 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, ~108 h-3 Mpc3, is large enough to accurately calculate the power per mode to scales approaching 103 h-1 Mpc. We find the shape of the power spectrum is a power law on scales 0.02<=k<=0.10 h Mpc-1, with enhanced power over less rare clusters such as APM clusters. The power law here follows n=-1.4. The power spectrum is essentially featureless, although we do see a dip near k=0.04 h Mpc-1, which cannot be considered statistically significant based on this data alone. We do not detect a narrow peak at k~0.05 h Mpc-1, and there is no evidence for a turnover 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.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- April 2001
- DOI:
- 10.1086/320213
- arXiv:
- arXiv:astro-ph/0002295
- Bibcode:
- 2001ApJ...551..635M
- Keywords:
-
- Galaxies: Clusters: General;
- Cosmology: Large-Scale Structure of Universe;
- Astrophysics
- E-Print:
- 14 pages, 7 figures. Updated with accepted version to appear in ApJ