NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
On hierarchical solutions to the BBGKY hierarchyIt is thought that the gravitational clustering of galaxies in the universe may approach a scale-invariant, hierarchical form in the small separation, large-clustering regime. Past attempts to solve the Born-Bogoliubov-Green-Kirkwood-Yvon (BBGKY) hierarchy in this regime have assumed a certain separable hierarchical form for the higher order correlation functions of galaxies in phase space. It is shown here that such separable solutions to the BBGKY equations must satisfy the condition that the clustered component of the solution has cluster-cluster correlations equal to galaxy-galaxy correlations to all orders. The solutions also admit the presence of an arbitrary unclustered component, which plays no dyamical role in the large-clustering regime. These results are a particular property of the specific separable model assumed for the correlation functions in phase space, not an intrinsic property of spatially hierarchical solutions to the BBGKY hierarchy. The observed distribution of galaxies does not satisfy the required conditions. The disagreement between theory and observation may be traced, at least in part, to initial conditions which, if Gaussian, already have cluster correlations greater than galaxy correlations.
Document ID
19880063964
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Hamilton, A. J. S. (Joint Institute for Laboratory Astrophysics Boulder, CO, United States)
Date Acquired
August 13, 2013
Publication Date
September 1, 1988
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 332
ISSN: 0004-637X
Subject Category
ASTROPHYSICS
Funding Number(s)
CONTRACT_GRANT: NAGW-765
CONTRACT_GRANT: NSF AST-86-58022
CONTRACT_GRANT: NAGW-766
CONTRACT_GRANT: NSG-7128
Distribution Limits
Public
Copyright
Other