Correlations in cosmic density fields

Details Correlations in cosmic density fields Correlations in cosmic density fields

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...437..541b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 437, no. 2, p. 541-549

Computer Science

Numerical Analysis

6

Astronomical Models, Atmospheric Density, Big Bang Cosmology, Correlation, Galactic Clusters, Galactic Evolution, Image Analysis, Numerical Analysis, Dark Matter, Gravitational Constant, Two Body Problem

Scientific paper

A method is proposed to place constraints on the functional form of the high-order correlation functions zetan that arise in cosmic density fields at large scales. This technique is based on a mass-in-cell statistic and a difference of mass in partitions of a cell. The relationship between these measures is sensitive to the formal structure of the zetan as well as their amplitudes. This relationship is quantified in several theoretical models of structure, based on the hierarchical clustering paradigm. The results lead to a test for specific types of hierarchical clustering that is sensitive to correlations of all orders. The method is applied to examples of simulated large-scaled structure dominated by cold dark matter. In the preliminary study, the hierarchical paradigm appears to be a realistic approximation over a broad range of the scales. Furthermore, there is evidence that graphs of low-order vertices are dominant. On the basis of simulated data a phenomological model is specified that gives a good representation of clustering from linear scales to the strongly clustered regime (zeta2 approximately 500).

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