Quasi-self-similar evolution of the two-point correlation function: strongly nonlinear regime in Omega_0 < 1 universes

Abstract

The well-known self-similar solution for the two-point correlation function of the density field is valid only in an Einstein-de Sitter universe. We attempt to extend the solution for non-Einstein-de Sitter universes. For this purpose we introduce an idea of quasi-self-similar evolution; this approach is based on the assumption that the evolution of the two-point correlation is a succession of stages of evolution, each of which spans a short enough period to be considered approximately self-similar. In addition we assume that clustering is stable on scales where a physically motivated `virialization condition' is satisfied. These assumptions lead to a definite prediction for the behavior of the two-point correlation function in the strongly nonlinear regime. We show that the prediction agrees well with N-body simulations in non-Einstein-de Sitter cases, and discuss some remaining problems.

18 pages, 4 figures; accepted for publication in ApJ

References in corpus (5)

• What Does It Take to Stabilize Gravitational Clustering?
• A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function
• A Simple Method for Computing the Non-Linear Mass Correlation Function with Implications for Stable Clustering
• A new test for the stable clustering hypothesis
• Mean-pairwise peculiar velocity in cosmological N-body simulations: time-variation, scale-dependence and stable condition

Cited by in corpus (1)

• A Note on Wave Equation in Einstein & de Sitter Spacetime