Multifractal analysis of a cold dark matter universe

Details Multifractal analysis of a cold dark matter universe Multifractal analysis of a cold dark matter universe

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...263....1c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 263, no. 1-2, p. 1-22.

Statistics

Computation

33

Computational Astrophysics, Cosmology, Dark Matter, Universe, Fractals, Galactic Evolution, Spatial Distribution

Scientific paper

The matter distribution in a cold dark matter universe is studied using multifractal analysis of a sample consisting of the final output of numerical simulation with 262,144 particles using a P3M code. A method is presented to correct for the finite sample effect, and how the finite size of measurement cells smooths the theoretically abrupt transition between the two main fractal regimes in a pure bifractal is studied. The effective exponents in the sample have the expected behavior for a bifractal measured with finite cell sizes, but because the available self-similar spatial ranges are too small, it is quite difficult without prior knowledge to distinguish the measurement-induced smoothness of the transition of a pure bifractal from an intrinsically smooth crossover corresponding to a multifractal with more than two dimensions. This suggests that the statistical tools of multifractal analysis should be used with extreme caution.

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