Journal Article

Excursion set approach to the clustering of dark matter haloes in Lagrangian space

Cristiano Porciani, Sabino Matarrese, Francesco Lucchin and Paolo Catelan

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 298, issue 4, pages 1097-1112
Published in print August 1998 | ISSN: 0035-8711
Published online August 1998 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-8711.1998.01704.x
Excursion set approach to the clustering of dark matter haloes in Lagrangian space

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Abstract

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.

Keywords: galaxies: clusters: general; cosmology: theory; dark matter; large-scale structure of Universe

Journal Article.  0 words. 

Subjects: Astronomy and Astrophysics

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