Scale-invariant matter distribution in the universe. II - Bifractal behaviour

Details Scale-invariant matter distribution in the universe. II - Bifractal behaviour Scale-invariant matter distribution in the universe. II - Bifractal behaviour

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...226..373b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 226, no. 1, Dec. 1989, p. 373-414.

Statistics

Computation

73

Cosmology, Fractals, Galactic Clusters, Interstellar Matter, Universe, Bbgky Hierarchy, Computational Astrophysics, Probability Distribution Functions, Spatial Distribution

Scientific paper

The multifractal dimensions of a galaxy and the matter distribution of the universe are calculated assuming that the N-body correlation functions behave as r to the power -(N-1)gamma with the same index gamma. Evidence is presented that the galaxy distribution is not an ordinary fractal with dimension D = 3 - gamma. A typical scale in the universe, of the order of a few times the correlation length was found, determined by the scale at which the present universe turns nonlinear, below which the galaxy and matter distribution is scale-free.

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