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Superclustering in the explosion scenarioA simple toy model is used to study the spatial distribution of rich clusters in a generic type of explosion scenario. The model, parameterized by the distribution of shell radii and the filling factor, places spherical shells at random and identifies each 'knot' as a cluster. The resulting cluster correlation function is close to a power law extending to the diameter of the largest spheres. Richer clusters form at the intersections of bigger shells and so have stronger correlations. Typical shell radii and filling factors are required to produce the observed number density of clusters. Models with a power-law radius distribution also reproduce the richness distribution of clusters in the Abell catalog. Supercluster multiplicity functions, void probabilities, number counts, topology statistics, and velocity correlations confirm the presence of strong superclustering and quantify the non-Gaussian nature of the model.
Document ID
19890035306
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Weinberg, David H.
(Princeton Univ. NJ, United States)
Ostriker, Jeremiah P.
(Princeton University NJ, United States)
Dekel, Avishai
(Jerusalem, Hebrew University Israel)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 336
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
89A22677
Funding Number(s)
CONTRACT_GRANT: NAGW-765
CONTRACT_GRANT: USIBSF-86-00190
Distribution Limits
Public
Copyright
Other

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