Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...286..351d&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 286, no. 2, p. 351-356
Astronomy and Astrophysics
Astronomy
Cosmology, Fractals, Galactic Evolution, Galactic Structure, Poisson Density Functions, Spatial Distribution, Statistical Distributions, Universe, Infrared Astronomy Satellite, Many Body Problem, Sky Surveys (Astronomy)
Scientific paper
The ability of fractal models to reproduce the observed distributions of galaxies is explored. Mixed models, made of fractal density fluctuations superposed on a Poisson background, are needed in order to explain the observed large scale cutoff of the number counts probabilities and the power-law behavior of the correlation functions. The distribution of IRAS galaxies is well fitted by a model in which the Poisson component is five times larger than the fractal component, of dimension 1.6. A similar mixed fractal model is built for visible galaxies in the Southern Sky Survey, taking into account some dynamic aspects of clusters. The best fit is obtained for a mixed model in which the Poisson component is as large as the fractal component, of dimension 2. The fit is however not good at large scales. These results illustrate the complexity of the matter distribution in the Universe, and prove the necessity of considering multifractal models. They also suggest that the multifractallity is confined only to small scales.
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