Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.260..537b&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 260, no. 3, p. 537-549.
Astronomy and Astrophysics
Astronomy
12
Astronomical Models, Density Distribution, Fractals, Galactic Clusters, Celestial Mechanics, Many Body Problem, Universe
Scientific paper
The multifractal structure implied by a list of non-Gaussian hierarchical distributions of cosmic structures introduced in the literature is investigated. The multifractal spectrum of generalized dimensions implied by the small-scale nonlinear clustering is worked out for each distribution. It is found that positive-order dimensions, which describe the scaling properties of the distribution inside overdense regions, turn out to be independent of the details of the hierarchical model. Negative-order dimensions, which are related to the scaling inside the underdense regions, depend on the shape of the distribution. In particular, the negative binomial and the hierarchical Poissonian models exhibit monofractal behavior while the generalized thermodynamical and the BBGKY models have rather different scaling in the overdense and in the underdense regions, resulting in nontrivial multifractal behavior.
No associations
LandOfFree
The multifractal behaviour of hierarchical density distributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The multifractal behaviour of hierarchical density distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The multifractal behaviour of hierarchical density distributions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1275887