Three-point functions of clusters in the bubble universe

Statistics – Computation

Scientific paper

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Astronomical Models, Galactic Clusters, Plasma Bubbles, Spatial Distribution, Universe, Computational Astrophysics, Computerized Simulation, Statistical Correlation

Scientific paper

Numerical simulations are used to study the three-point correlation functions, zeta, of clusters in the bubble universe. The clusters are identified as 'knots' where three shells intersect. The shells are distributed randomly in space and have a power-law radius distributions. This paper takes the shell mergers and cluster mergers into account, which greatly improves the power-law models by reproducing the observed three-point functions of Abell clusters. The results indicate that the bubble models are able to produce the observed hierarchical form of zeta. The three-point function, after being expressed in the hierarchical form, does not significantly depend on details of the models.

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