Statistics – Computation
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...396..416r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 416-429.
Statistics
Computation
13
Cosmology, Gravitation Theory, Universe, Angular Momentum, Computational Astrophysics, Many Body Problem, Perturbation Theory, Vlasov Equations
Scientific paper
The foundations of analytic nonlinear clustering theory are reexamined to determine the extent to which current understanding can be improved. The equations describing the nonlinear evolution of clustering are rederived by taking moments of the Vlasov equation. The equations are closed by using consistent hierarchical models for three higher-order moments, (delta-cubed), (v-cubed), and (delta-cubed-v), following forms obtained from perturbation theory, but with arbitrary amplitudes. All the dimensionless parameters that arise are treated on an equal basis. This approach makes it possible to avoid assuming a priori the vanishing skewness of the velocity distribution. As a result, relative angular momentum is conserved for close pairs. Scale-invariant and self-similar solutions arise naturally in the strong clustering regime, but it is found that such solutions may not be stable to small perturbations. Further numerical work is proposed.
Fry James N.
Ruamsuwan Laddawan
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