Fractal distribution of galaxies modeled by a cellular-automaton-type Stochastic process

Details Fractal distribution of galaxies modeled by a cellular-automaton-type Stochastic process Fractal distribution of galaxies modeled by a cellular-automaton-type Stochastic process

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..58.2818v&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 58, June 29, 1987, p. 2818-2821.

Mathematics

13

Automata Theory, Cosmology, Fractals, Galaxies, Mass Distribution, Stochastic Processes, Astronomical Models, Cells, Density Distribution, Dynamic Models, Galactic Evolution, Lattices (Mathematics)

Scientific paper

A cellular-automaton-type stochastic process is introduced in order to simulate the fractal distribution of galaxies. The rules of the model are constructed to approximate the explosive-galaxy-formation scenario. For a range of the single parameter the model depends on, the fractal dimension corresponding to the power-law density correlation function is found to be D of about 1.2, in good agreement with the observations. The multiplicity function n(s) is shown to scale as n(s) of about s exp-tau, with tau being approximately 1.9, where s is the cluster size.

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