Excursion set approach to the clustering of dark matter haloes in Lagrangian space |
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| Authors: | Cristiano Porciani Sabino Matarrese Francesco Lucchin & Paolo Catelan |
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| Institution: | SISSA, Scuola Internazionale di Studi Superiori Avanzati, via Beirut 2-4, I-34014 Trieste, Italy,;Dipartimento di Fisica Galileo Galilei;, Universitàdi Padova, via Marzolo 8, I-35131 Padova, Italy, Dipartimento di Astronomia, Universitàdi Padova, vicolo dell'Osservatorio 5, I-35122 Padova, Italy,;Theoretical Astrophysics Center, Juliane Maries Vej 30, DK-2100 Copenhagen Ø, Denmark,;Department of Physics, Astrophysics, Nuclear Physics Laboratory, Keble Road, Oxford OX1 3RH |
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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. |
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| Keywords: | galaxies: clusters: general cosmology: theory dark matter large-scale structure of Universe |
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