Dynamical scaling of matter density correlations in the Universe
An application of the dynamical renormalization group
A. Domínguez 1,
D. Hochberg 1,
J.M. Martín-García 1,
J. Pérez-Mercader 1 and
L.S. Schulman 2
Received 9 July 1998 / Accepted 15 December 1998
We show how the interplay of non-linear dynamics, self-gravity, and fluctuations leads to self-affine behavior of matter density correlations quite generically, i.e., with a power law exponent whose value does not depend in a very direct way on the specific details of the dynamics. This we do by means of the Renormalization Group, a powerful analytical tool for extracting asymptotic behavior of many-body systems.
Key words: gravitation hydrodynamics methods: analytical cosmology: theory cosmology: large-scale structure of Universe
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© European Southern Observatory (ESO) 1999
Online publication: March 10, 1999