Angular momentum, hierarchical clustering, and local density maxima

Statistics – Computation

Scientific paper

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Angular Momentum, Cosmology, Galactic Clusters, Galactic Evolution, Normal Density Functions, Perturbation Theory, Computational Astrophysics, Space Density

Scientific paper

The growth of angular momentum in a hierarchical clustering cosmogony is studied to first order in linear theory. Structure is assumed to evolve from a primordial Gaussian density perturbation (delta) field. The protoobjects are identified with the local peaks of the primordial delta-field. Ensembles of such objects are constructed, and both mean values and the scatter around them are calculated. This is done by realizing Gaussian delta-fields for different power spectra, identifying the local peaks of such fields, and calculating the tidal deformation and inertial tensors of the peaks. Linear theory is then used to calculate the final J and lambda. The calculations support the view that a hierarchical clustering process yields an anticorrelation of lambda versus v (or the final density) of bound objects.

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