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Astron. Astrophys. 344, 27-35 (1999)

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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

1 Laboratorio de Astrofísica Espacial y Física Fundamental (INTA-CSIC), Apartado 50727, E-28080 Madrid, Spain
2 Department of Physics, Clarkson University, Potsdam, New York 13699-5820, USA

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

Send offprint requests to: D. Hochberg (hochberg@laeff.esa.es)

© European Southern Observatory (ESO) 1999

Online publication: March 10, 1999