Multifractal properties of cosmological N-body simulations

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Dark Matter, Galactic Clusters, Many Body Problem, Density Distribution, Digital Simulation, Gravitational Effects

Scientific paper

The multifractal properties of nonlinear gravitational clustering are studied by applying several different generalized dimension estimators to evolving cosmological N-body simulations. Three different initial spectra, a CDM spectrum and two scale-free spectra with n = 1 and n = -2, and different biasing levels are considered. The main result of the study is that nonlinear clustering, associated with the small-scale gravitational evolution and with the high peaks of the underlying density field, is always characterized by precise scaling properties. In particular, structures arising at the nonlinearity scales closely resemble a bifractal, while at larger scales a transition toward homogeneity is observed.

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