Fractal large-scale structure from a stochastic scaling law model
Abstract
A stochastic model relating the parameters of astrophysical structures to the parameters of their granular components is applied to the formation of hierarchical, large-scale structures from galaxies assumed as point-like objects. If the density profile of galaxies on a given scale is described by a power law then the stochastic model leads naturally to a mass function that is proportional to the square of the distance from an occupied point, which corresponds to a two-point correlation function that is inversely proportional to the distance. This result is consistent with observations indicating that galaxies are, on the largest scales, characterized by a fractal distribution with a dimension of order 2 and well-fit with transition to homogeneity at cosmological scales.
Cite
@article{arxiv.0903.4916,
title = {Fractal large-scale structure from a stochastic scaling law model},
author = {S. Capozziello and S. Funkhouser},
journal= {arXiv preprint arXiv:0903.4916},
year = {2009}
}
Comments
5 pages