Two-point correlation functions of X-ray selected clusters of galaxies: theoretical predictions for flux-limited surveys

Abstract

We have developed a model to describe two-point correlation functions of clusters of galaxies in X-ray flux-limited surveys. Our model properly takes account of nonlinear gravitational evolution of mass fluctuations, redshift-space distortion due to linear peculiar velocity field and to finger-of-god, cluster abundance and bias evolution on the basis of the Press -- Schechter theory, the light-cone effect, and the selection function due to the X-ray flux, temperature and luminosity limits. Applying this model in representative cosmological models, we have presented quantitative predictions for X-ray selected samples feasible from the future surveys with the X-ray satellites including Astro-E, Chandra, and XMM. The comparison of these predictions and the observed cluster clustering will place important cosmological constraints which are complementary to the cluster abundance and the cosmic microwave background.

21 pages, 10 figures, final version accepted for publication in ApJ (2000)

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• Cosmological SPH simulations with four million particles: statistical properties of X-ray clusters in a low-density universe
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• Constraining cosmological parameters with the clustering properties of galaxy clusters in optical and X-ray bands
• Genus statistics for galaxy clusters and nonlinear biasing of dark matter halos
• Precise Clustering and Density Evolution of redMaPPer Galaxy Clusters versus MXXL Simulation
• Predicting the clustering properties of galaxy clusters detectable for the Planck satellite
• Isodensity Statistics on Clustering of High-z Objects in Cosmological Redshift-spaces
• Cosmological constraints from clustering properties of galaxy clusters