The richness dependence of galaxy cluster correlations: Results from a redshift survey of rich APM clusters
We analyse the spatial clustering properties of a new catalogue of very rich galaxy clusters selected from the APM Galaxy Survey. These clusters are of comparable richness and space density to Abell Richness Class $\geq 1$ clusters, but selected using an objective algorithm from a catalogue demonstr...
| Main Authors: | , , , , |
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| Format: | Journal article |
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1997
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| _version_ | 1797061468549545984 |
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| author | Croft, R Dalton, G Efstathiou, G Sutherland, W Maddox, S |
| author_facet | Croft, R Dalton, G Efstathiou, G Sutherland, W Maddox, S |
| author_sort | Croft, R |
| collection | OXFORD |
| description | We analyse the spatial clustering properties of a new catalogue of very rich galaxy clusters selected from the APM Galaxy Survey. These clusters are of comparable richness and space density to Abell Richness Class $\geq 1$ clusters, but selected using an objective algorithm from a catalogue demonstrably free of artificial inhomogeneities. Evaluation of the two-point correlation function $\xi_{cc}(r)$ for the full sample and for richer subsamples reveals that the correlation amplitude is consistent with that measured for lower richness APM clusters and X-ray selected clusters. We apply a maxmimum likelihood estimator to find the best fitting slope and amplitude of a power law fit to $\xi_{cc}(r)$, and to estimate the correlation length $r_{0}$ (the value of $r$ at which $\xi_{cc}(r)$ is equal to unity). For clusters with a mean space density of $1.6\times 10^{-6}\hmpccc$ (equivalent to the space density of Abell Richness $\geq 2$ clusters), we find $r_{0}=21.3^{+11.1}_{-9.3} \hmpc$ (95% confidence limits). This is consistent with the weak richness dependence of $\xi_{cc}(r)$ expected in Gaussian models of structure formation. In particular, the amplitude of $\xi_{cc}(r)$ at all richnesses matches that of $\xi_{cc}(r)$ for clusters selected in N-Body simulations of a low density Cold Dark Matter model. |
| first_indexed | 2024-03-06T20:31:35Z |
| format | Journal article |
| id | oxford-uuid:313a5eb9-91e3-4a64-87ee-69a4a6a429ff |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:31:35Z |
| publishDate | 1997 |
| record_format | dspace |
| spelling | oxford-uuid:313a5eb9-91e3-4a64-87ee-69a4a6a429ff2022-03-26T13:06:38ZThe richness dependence of galaxy cluster correlations: Results from a redshift survey of rich APM clustersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:313a5eb9-91e3-4a64-87ee-69a4a6a429ffSymplectic Elements at Oxford1997Croft, RDalton, GEfstathiou, GSutherland, WMaddox, SWe analyse the spatial clustering properties of a new catalogue of very rich galaxy clusters selected from the APM Galaxy Survey. These clusters are of comparable richness and space density to Abell Richness Class $\geq 1$ clusters, but selected using an objective algorithm from a catalogue demonstrably free of artificial inhomogeneities. Evaluation of the two-point correlation function $\xi_{cc}(r)$ for the full sample and for richer subsamples reveals that the correlation amplitude is consistent with that measured for lower richness APM clusters and X-ray selected clusters. We apply a maxmimum likelihood estimator to find the best fitting slope and amplitude of a power law fit to $\xi_{cc}(r)$, and to estimate the correlation length $r_{0}$ (the value of $r$ at which $\xi_{cc}(r)$ is equal to unity). For clusters with a mean space density of $1.6\times 10^{-6}\hmpccc$ (equivalent to the space density of Abell Richness $\geq 2$ clusters), we find $r_{0}=21.3^{+11.1}_{-9.3} \hmpc$ (95% confidence limits). This is consistent with the weak richness dependence of $\xi_{cc}(r)$ expected in Gaussian models of structure formation. In particular, the amplitude of $\xi_{cc}(r)$ at all richnesses matches that of $\xi_{cc}(r)$ for clusters selected in N-Body simulations of a low density Cold Dark Matter model. |
| spellingShingle | Croft, R Dalton, G Efstathiou, G Sutherland, W Maddox, S The richness dependence of galaxy cluster correlations: Results from a redshift survey of rich APM clusters |
| title | The richness dependence of galaxy cluster correlations: Results from a
redshift survey of rich APM clusters |
| title_full | The richness dependence of galaxy cluster correlations: Results from a
redshift survey of rich APM clusters |
| title_fullStr | The richness dependence of galaxy cluster correlations: Results from a
redshift survey of rich APM clusters |
| title_full_unstemmed | The richness dependence of galaxy cluster correlations: Results from a
redshift survey of rich APM clusters |
| title_short | The richness dependence of galaxy cluster correlations: Results from a
redshift survey of rich APM clusters |
| title_sort | richness dependence of galaxy cluster correlations results from a redshift survey of rich apm clusters |
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