Fractal geometry of cosmic strings and correlations among galaxies and Abell clusters

Details Fractal geometry of cosmic strings and correlations among galaxies and Abell clusters Fractal geometry of cosmic strings and correlations among galaxies and Abell clusters

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35.1141p&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 4, 15 February 1987, pp.1141-1145

Physics

3

Scientific paper

In the context of the cosmic-string picture of galaxy and cluster formation we develop a model for the loop correlation function. Assuming that parent loops have dimension 1 and that the production of child loops cut off from the parent with a peculiar velocity v is described by a Brownian random walk we estimate for the fractal dimension of the correlations D=1+3.28v2. For v~=0.24 this gives the observed fractal D~=1.2.

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