An integral constraint on the N-point correlation function of galaxies

Details An integral constraint on the N-point correlation function of galaxies An integral constraint on the N-point correlation function of galaxies

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...343..107z&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 343, Aug. 1, 1989, p. 107-112. Research supported by the University of Toro

Statistics

Computation

12

Computational Astrophysics, Correlation, Galactic Clusters, Galaxies, Perturbation Theory, Probability Distribution Functions, Space-Time Functions, Spatial Distribution

Scientific paper

A volume integral of the galaxy N-point correlation function is derived from the generating function of a probability distribution function of galaxies. In the linear clustering regime, the evolution of this volume integral is calculated using linear perturbation theory. In the highly nonlinear clustering regime, the volume integral is compared with the hierarchical solutions of the BBGKY equations as well as the observations. Agreement, at least in order of magnitude, is achieved in the comparison, which suggests the accuracy of this volume integral. The results provide an indirect justification of the probability distribution function in the highly nonlinear clustering regime.

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