The collapse of density peaks in a Gaussian random field

Astronomy and Astrophysics – Astrophysics

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Galactic Evolution, Galactic Rotation, Mass Distribution, Normal Density Functions, Angular Momentum, Galactic Clusters, Power Spectra

Scientific paper

The collapse of density peaks is investigated in Gaussian random density fields with power spectra P(k) proportional to k exp n, in the cases n = -2, -1, 0, and + 1. The density, velocity dispersion, and angular momentum are computed, taking into account density perturbations superposed on a spherical central peak. In the absence of dissipation, flat rotation curves require n roughly -1. If a fraction f roughly 0.1 of the mass dissipates its energy and falls toward the center of the mass distribution, then n roughly -2 leads to flat rotation curves. The dimensionless spin parameter Lambda is insensitive to the value of n; the spherical infall approximation yields Lambda roughly 0.09 for 3 sigma peaks.

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