Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-01-13
Phys.Rev. D69 (2004) 123001
Astronomy and Astrophysics
Astrophysics
15 pages, 28 figures
Scientific paper
10.1103/PhysRevD.69.123001
In the gravitational evolution of a cold infinite particle distribution, two-body interactions can be predominant at early times: we show that, by treating the simple case of a Poisson particle distribution in a static universe as an ensemble of isolated two-body systems, one may capture the origin of the first non-linear correlated structures. The developed power-law like behavior of the two-point correlation function is then simply related to the functional form of the time evolved nearest-neighbor probability distribution, whose time dependence can be computed by using Liouville theorem for the gravitational two-body problem. We then show that a similar dynamical evolution is also found in a large-scale ordered distribution, which has striking similarities to the case of a cosmological CDM simulation which we also consider.
Baertschiger Thierry
Sylos Labini Francesco
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