FRACTAL LARGE-SCALE STRUCTURE FROM A STOCHASTIC SCALING LAW MODEL
| Autor: | Salvatore Capozziello, Scott Funkhouser |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Physics
Nuclear and High Energy Physics Scaling law Cosmology and Nongalactic Astrophysics (astro-ph.CO) Stochastic modelling FOS: Physical sciences General Physics and Astronomy Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) Power law General Relativity and Quantum Cosmology Galaxy Fractal Homogeneity (physics) Scale structure Stochastic mechanics Statistical physics Astrophysics - Cosmology and Nongalactic Astrophysics |
| Zdroj: | Modern Physics Letters A. 24:1743-1748 |
| ISSN: | 1793-6632 0217-7323 |
| DOI: | 10.1142/s0217732309031065 |
| Popis: | 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. 5 pages |
| Databáze: | OpenAIRE |
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