Statistical analysis of pecular velocity fields in cosmological N-body simulations

Mathematics – Probability

Scientific paper

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Cosmology, Many Body Problem, Statistical Analysis, Velocity Distribution, Dark Matter, Galactic Clusters, Mach Number, Monte Carlo Method, Probability Distribution Functions, Red Shift

Scientific paper

Peculiar velocity fields of galaxies, computed by cosmological N-body simulations, are analyzed in detail. This Monte Carlo approach provides not only the expectation values of the bulk flow velocity and the cosmic Mach number, but their probability distributions. The distribution of the cosmic Mach number is found to be almost Maxwellian in linear and mildly nonlinear regimes, independent of the shape of the density fluctuation spectrum. Applying the resulting probability distribution to the cold dark matter models based on the inflationary scenario, it is found that the constraints derived by Ostriker and Suto (1990) hold at the 90-percent confidence level.

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