Statistics – Computation
Scientific paper
Jan 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.242..200k&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 242, Jan. 15, 1990, p. 200-208.
Statistics
Computation
47
Astronomical Models, Cosmology, Dark Matter, Mass Distribution, Universe, Adhesion, Computational Astrophysics, Gravitation Theory, Many Body Problem, Perturbation Theory
Scientific paper
A model for the formation of the Large-Scale Structure in the Universe dominated by dark matter is discussed. The model approximately describing the nonlinear stage of gravitational instability is based on the Burgers equation (adhesion or sticking model). Contrary to the widely accepted practice of using the linear density perturbations for the analysis of the structure formation, the initial conditions are described in terms of the gravitational potential perturbations at the linear stage theta(r). The skeleton of the mass distribution at an arbitrary time t is calculated directly without intermediate steps and with the aid of the geometrical technique of constructing paraboloids tangential to the hypersurface theta(r). The curvature of the paraboloid depends on time only. Decreasing with time, it results in evolution of the skeleton of the mass distribution. This model is compared with the direct N-body simulations in two dimensions. The suggested model is shown to be in satisfactory qualitative agreement with results of the N-body simulation. Results confirm the potential merits of the adhesion model for a wide class of cosmological scenarios, including the Cold Dark Matter model.
Kofman Lev
Pogosian Dmitrii
Shandarin Sergei
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