1998/01/28 by Cristiano Porciani, C. Porciani, Sabino Matarrese +4 · 2 citations
Physics and Astronomy · #Galaxies: Formation, Evolution, Phenomena #astro-ph
paper · pdf · doi:10.1046/j.1365-8711.1998.01704.x
published as Mon.Not.Roy.Astron.Soc. 298 (1998) 1097-1112 · LaTeX, 19 pages, 3 figures. Submitted to MNRAS
arxiv created 1998/01/28 · openalex publication_date 1998/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a stochastic approach to the spatial clustering of dark matter haloes in Lagrangian space. Our formalism is based on a local formulation of the ‘excursion set’ approach by Bond et al., which automatically accounts for the ‘cloud-in-cloud’ problem in the identification of bound systems. Our method allows us to calculate correlation functions of haloes in Lagrangian space using either a multidimensional Fokker–Planck equation with suitable boundary conditions, or an array of Langevin equations with spatially correlated random forces. We compare the results of our method with theoretical predictions for the halo autocorrelation function considered in the literature, and find good agreement with the results recently obtained within a treatment of halo clustering in terms of ‘counting fields’ by Catelan et al. Finally, the possible effect of spatial correlations on numerical simulations of halo merger trees is discussed.