Open AccessInformation content in the halo‐model dark‐matter power spectrum
Author(s) -
Neyrinck Mark C.,
Szapudi István,
Rimes Christopher D.
Publication year - 2006
Publication title -
monthly notices of the royal astronomical society: letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.067
H-Index - 122
eISSN - 1745-3933
pISSN - 1745-3925
DOI - 10.1111/j.1745-3933.2006.00190.x
Subject(s) - halo , physics , dark matter , spectral density , astrophysics , plateau (mathematics) , amplitude , statistical physics , mathematics , statistics , galaxy , optics , mathematical analysis
Using the halo model, we investigate the cosmological Fisher information in the non‐linear dark‐matter power spectrum about the initial amplitude of linear power. We find that there is little information on ‘translinear’ scales (where the one‐ and two‐halo terms are both significant) beyond what is on linear scales, but that additional information is present on small scales, where the one‐halo term dominates. This behaviour agrees with the surprising results that Rimes & Hamilton found using N ‐body simulations. We argue that the translinear plateau in cumulative information arises largely from fluctuations in the numbers of large haloes in a finite volume. This implies that more information could be extracted on non‐linear scales if the masses of the largest haloes in a survey are known.