Mathematics – Probability
Scientific paper
Jul 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.245..244m&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 245, July 15, 1990, p. 244-254. Research supported by t
Mathematics
Probability
37
Astronomical Models, Computerized Simulation, Many Body Problem, Boundary Value Problems, Cluster Analysis, Probability Distribution Functions, Statistical Tests
Scientific paper
Results are reported on N-body simulations of the large-scale structure of the universe starting from non-Gaussian space-uncorrelated initial conditions. Specifically, two hierarchical models and the lognormal statistics for the initial probability distribution are considered. These models share two common properties: they fulfil the positive mass constraint (delta-M is not less than -1) and they have positive skewness. The resulting distributions, both in space and velocity, are analyzed by means of many statistical tests, and compared with an evolved reference Poisson model. The different starting conditions keep their effects after many expansion times, as shown by the cluster analysis and by the quadrupole statistics; the evolved non-Gaussian distributions show the existence of elongated and/or flattened configurations in excess of the evolved Poisson model. The velocity field, analyzed in terms of the cosmic Mach number, does not reveal relevant changes with respect to the initially Gaussian model.
Lucchin Francesco
Matarrese Sabino
Messina Antonio
Moscardini Lauro
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