The fractal distribution of haloesJ. Gaite
Instituto de Matemáticas y Física Fundamental, CSIC Serrano 113bis, 28006 Madrid, Spain
received 4 April 2005; accepted in final form 20 May 2005
published online 17 June 2005
We examine the proposal that a model of the large-scale matter distribution consisting of randomly placed haloes with power law profile, as opposed to a fractal model, can account for the observed power law galaxy-galaxy correlations. We conclude that such model, which can actually be considered as a degenerate multifractal model, is not realistic but suggests a new picture of multifractal models, namely, as sets of fractal distributions of haloes. We analyse, according to this picture, the properties of the matter distribution produced in cosmological N-body simulations, with affirmative results; namely, haloes of similar mass have a fractal distribution with a given dimension, which grows as the mass diminishes.
98.65.Dx - Superclusters; large-scale structure of the Universe (including voids, pancakes, great wall, etc.).
05.45.Df - Fractals.
02.50.-r - Probability theory, stochastic processes, and statistics.
© EDP Sciences 2005