An Analytic Model of Superclusters
Masamune Oguri, Keitaro Takahashi, Kiyotomo Ichiki, Hiroshi Ohno
Abstract
We construct an analytic model for the mass distributions of superclusters and clusters in each supercluster. Our model is a modification of the Press-Schechter theory, and defines superclusters as the regions that have some overdensity smaller than those for usual virialized objects. We compare the mass functions with a catalog of superclusters in the Sloan Digital Sky Survey Early Data Release and found that they are in reasonable agreement with each other.
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