Modelling the non-linear gravitational clustering in the expanding Universe
Open Access
- 11 January 1996
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 278 (2) , L29-L33
- https://doi.org/10.1093/mnras/278.2.l29
Abstract
The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the non-linear clustering in terms of three well-defined regimes: ( 1 ) the linear regime; (2) the quasi-linear regime which is dominated by scale-invariant radial infall; and (3) the non-linear regime, dominated by non-radial motions and mergers. Modelling each of these regimes separately, I show how the non-linear two-point correlation function can be related to the linear correlation function in hierarchical models. This analysis leads to results which are in good agreement with numerical simulations, thereby providing an explanation for numerical results. The ideas presented here will also serve as a powerful analytical tool to investigate non-linear clustering in different models. Several implications of the results are discussed.Keywords
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