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How dark matter halos cluster in Lagrangian space

Porciani, C.; Catelan, P.; Lacey, C.

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C. Porciani

P. Catelan


We investigate the clustering of dark matter halos in Lagrangian space in terms of their two-point correlation function. Analyzing a set of collisionless scale-free 1283 particle N-body simulations with spectral indices n=-2, -1, we measure the first two Lagrangian bias parameters b1 and b2 relating halo and mass correlations. We find that the Mo & White leading-order formula for b1 describes the clustering of halos with mass MgtrsimM$\mathstrut{_{{\star}}}$ (where Msstarf indicates the characteristic nonlinear mass) quite accurately. Smaller halos turn out to be less clustered in Lagrangian space than predicted by Mo & White. Our findings are consistent with the recent results of Jing for the clustering of halo populations in Eulerian space, demonstrating that the discrepancies between the N-body and analytical Mo & White prediction for the bias exist already in Lagrangian space. This shows that a more refined theoretical algorithm for selecting halos in the initial conditions needs to be developed. Finally, we present a very accurate fitting formula for the linear halo bias factor b1 in Lagrangian space.


Porciani, C., Catelan, P., & Lacey, C. (1999). How dark matter halos cluster in Lagrangian space. Astrophysical Journal Letters, 513(2), L99-L102.

Journal Article Type Article
Publication Date Mar 10, 1999
Deposit Date Feb 11, 2015
Publicly Available Date Feb 12, 2015
Journal Astrophysical Journal Letters
Print ISSN 2041-8205
Electronic ISSN 2041-8213
Publisher American Astronomical Society
Peer Reviewed Peer Reviewed
Volume 513
Issue 2
Pages L99-L102
Keywords Cosmology: theory, Galaxies: statistics, Large-scale structure of universe.


Published Journal Article (90 Kb)

Copyright Statement
© 1999. The American Astronomical Society. All rights reserved.

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