The four-point function in the BBGKY hierarchy

Details The four-point function in the BBGKY hierarchy The four-point function in the BBGKY hierarchy

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...262..424f&link_type=abstract

Astrophysical Journal, Part 1, vol. 262, Nov. 15, 1982, p. 424-431.

Mathematics

Probability

23

Bbgky Hierarchy, Correlation Coefficients, Cosmology, Galactic Clusters, Astronomical Catalogs, Astronomical Models, Einstein Equations, Probability Theory

Scientific paper

In recent years, it has been found that the galaxy correlation functions represent a useful tool in the investigation of the large-scale nature of the universe. The Born-Bogoliubov-Green-Kirkwood-Yvon (BBGKY) hierarchy is considered, taking into account the cosmological background, the K-particle distribution functions in phase space, the reduced correlation functions, and the moments. An investigation is conducted regarding the implications of the BBGKY hierarchy for the four-point function. By integrating the fourth BBGKY equation and using moment definitions, an equation for the conservation of quadruplets is obtained. Relations regarding the amplitude coefficients in the BBGKY hierarchy are derived, and the results are compared with other previously derived relations and with data from the Lick and Zwicky galaxy catalogs.

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