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

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 into account nonlinear gravitational evolution of mass fluctuations, redshift-space distortion due to linear peculiar velocity fields and to fingers-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 present quantitative predictions for X-ray-selected samples that should be feasible from future surveys with the X-ray satellites, including Astro-E, Chandra, and XMM. The comparison of these predictions and the observed cluster clustering will generate important cosmological constraints that complement the cluster abundance and the cosmic microwave background.