Detection of correlation among galaxies within clusters from their two-dimensional number density profiles

Statistics – Computation

Scientific paper

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Computational Astrophysics, Density Distribution, Galactic Clusters, Two Dimensional Models, Image Analysis, Monte Carlo Method, Null Hypothesis

Scientific paper

We explore the detection of substructure in the central parts of rich galaxy clusters by comparing their two-dimensional number density profiles yielded by two different methods, one sensitive and the other one insensitive to the existence of correlation in particle positions relative to the cluster background density. After checking the proposed test on Monte Carlo simulations, we apply it to real clusters corrected for field contamination. We find that about 50 percent of these systems show evidence for correlation at small scales at the 95 percent confidence level. Yet the majority of these clusters show the same density profile at low resolution, indicating that they have reached quasi-equilibrium at large scales.

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