Properties of Galaxy Clusters: Mass and Correlation Functions

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dc.creatorGovernato, F.
dc.creatorBabul, A.
dc.creatorQuinn, T.
dc.creatorTozzi, P.
dc.creatorBaugh, C. M.
dc.creatorKatz, N.
dc.creatorLake, G.
dc.date1998-10-13
dc.date.accessioned2026-07-07T12:01:07Z
dc.date.available2026-07-07T12:01:07Z
dc.descriptionWe analyse parallel N-body simulations of three Cold Dark Matter (CDM) universes to study the abundance and clustering of galaxy clusters. The simulations cover a volume comparable to the forthcoming SDSS. We are able to make robust measurements of cluster properties to a redshift larger than unity. We extract halos using two independent, public domain group finders (FOF & HOP) and find consistent results. The correlation function of clusters is in very good agreement with a simple analytic prescription based upon a Lagrangian biasing scheme developed by Mo & White (1996) and the Press-Schechter (PS) formalism for the mass function. The R_0--D_c relation for the open CDM model is in good agreement with the results from the APM Cluster Survey. The SCDM universe shows a robust deviation in the shape and evolution of the mass function when compared with that predicted by the PS formalism. Critical models with a low sigma_8 normalization or small shape parameter Gamma show an excess of massive clusters compared with the PS prediction. When cluster normalized, the SCDM universe at z =1 contains 10 times more clusters with temperatures greater than 7keV, compared with the PS prediction. The agreement between the analytic and N-body mass functions of SCDM can be improved if the value of the delta_c (the extrapolated linear theory threshold for collapse) is revised to be $ delta_c(z) = 1.685[(0.7/sigma_8)(1+z)]^{-0.125}. Our best estimate for the amplitude of fluctuations inferred from the local cluster abundance for SCDM is sigma_{8} = 0.5 \pm 0.04. However, the discrepancy between the temperature function predicted in a critical density universe and that observed at z=0.33 (Henry et al. 1998) remains. (abridged)
dc.descriptionSubmitted to MNRAS. 20 pages. 14 postscript figures. Also available at http://star-www.dur.ac.uk/~fabio/index.html
dc.identifierhttps://arxiv.org/abs/astro-ph/9810189
dc.identifierhttp://arxiv.org/abs/astro-ph/9810189
dc.identifierMon.Not.Roy.Astron.Soc.307:949,1999
dc.identifierdoi:10.1046/j.1365-8711.1999.02706.x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207001
dc.subjectAstrophysics
dc.titleProperties of Galaxy Clusters: Mass and Correlation Functions
dc.typetext

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