Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...365..419s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 365, Dec. 20, 1990, p. 419-431. Research supported by the Yamada Science Fo
Astronomy and Astrophysics
Astrophysics
37
Cosmology, Galactic Clusters, Galactic Evolution, Gravitational Effects, Velocity Distribution, Analytic Functions, Spatial Distribution, Statistical Analysis, Statistical Distributions
Scientific paper
The spatial statistical distribution function for quasi-equilibrium gravitational clustering in an expanding universe is derived from more general assumptions than before, without needing an earlier Ansatz. Then, it is shown how this statistical distribution is related to the kinetic development of the BBGKY hierarchy and how to obtain an analytic descriptioin for the time evolution of an initial Poisson distribution. From general principles, an analytic velocity distribution function for quasi-equilibrium gravitational clustering is also derived. It has no free parameters. Comparison with N-body experiments shows excellent agreement.
Chitre S. M.
Inagaki Shogo
Itoh Makoto
Saslaw William C.
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