The virialized regime of non-linear clustering in an expanding universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Bbgky Hierarchy, Big Bang Cosmology, Galactic Clusters, Galactic Evolution, Statistical Analysis, Virial Coefficients, Density Distribution, Mass Distribution, Nonlinear Equations, Statistical Correlation, Vlasov Equations

Scientific paper

Starting with the Vlasov set of BBGKY-hierarchy equations, an explicit connection is given between the work of Mandelbrot (1977) and that of Davis and Peebles (1977) concerning the observed mass-clustering in the universe. A simple reduced set of exact equations including the two-point density, the velocity and the temperature tensor correlation functions is obtained. Solutions based on a virialization hypothesis at short distances are derived.

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