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For refcode 1991ApJ...380...15C:
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1991ApJ...380...15C THE MASS DISTRIBUTION OF GROUPS AND CLUSTERS OF GALAXIES A. CAVALIERE AND S. COLAFRANCESCO Astrofisica, Dipartimento di Fisica II Universita, Via E. Carnevale, 00173 Roma, Italy AND R. SCARAELLA Osservatorio Astronomico di Roma, Via dell'Osservatorio, 00040 Monteporaio, Italy Received 1990 August 6; accepted 1991 January 16 ABSTRACT We reformulate the collapse theories for the mass distribution of cosmic structures-of which the theory of Press and Schechter constitutes the archetype in terms of a rate equation with finite collapse and survival times. We then derive the mass distribution and the optical luminosity function expected for groups and clusters of galaxies in these hierarchical clustering scenarios, considering both the collapse of high peaks in the initial overdensity field and the subsequent mass infall. We finally discuss the transition from direct collapse to merging and aggregation theories. Subject headings: cosmology - galaxies: clustering
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