An Analytic Formula for the Supercluster Mass Function

Abstract

We present an analytic formula for the supercluster mass function which is constructed by modifying the extended Zel'dovich model for the halo mass function. The formula has two characteristic parameters whose best-fit values are determined by fitting to the numerical results from N-body simulations for the standard LambdaCDM cosmology. The parameters are found to be independent of redshifts and robust against variation of the key cosmological parameters. Under the assumption that the same formula for the supercluster mass function is valid for non-standard cosmological models, we show that the relative abundance of the rich superclusters should be a powerful indicator of any deviation of the real universe from the prediction of the standard LambdaCDM model.

accepted for publication in ApJ, 27 pages, 8 figures, significantly revised after the referee's review

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Cited by in corpus (6)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• The progeny of a Cosmic Titan: a massive multi-component proto-supercluster in formation at z=2.45 in VUDS
• A massive blow for $\Lambda$CDM $-$ the high redshift, mass, and collision velocity of the interacting galaxy cluster El Gordo contradicts concordance cosmology
• Discovery of a Supercluster at $z\sim$0.91 and Testing the $\Lambda$CDM Cosmological Model
• The Extended Zel'dovich Mass Functions of Clusters and Isolated Clusters in the Presence of Primordial Non-Gaussianity
• Discovery of a supercluster candidate at $z\sim 1.1$