Growth of correlations in gravitational N-body simulations
Preprint
- 13 January 2004
Abstract
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.Keywords
All Related Versions
- Version 1, 2004-01-13, ArXiv
- Published version: Physical Review D, 69 (12).
This publication has 0 references indexed in Scilit: