Information content of the non-linear matter power spectrum
Abstract
We use an ensemble of N-body simulations of the currently favoured (concordance) cosmological model to measure the amount of information contained in the non-linear matter power spectrum about the amplitude of the initial power spectrum. Two surprising results emerge from this study: (i) that there is very little independent information in the power spectrum in the translinear regime (k ~ 0.2-0.8 Mpc/h at the present day) over and above the information at linear scales and (ii) that the cumulative information begins to rise sharply again with increasing wavenumber in the non-linear regime. In the fully non-linear regime, the simulations are consistent with no loss of information during translinear and non-linear evolution. If this is indeed the case then the results suggest a picture in which translinear collapse is very rapid, and is followed by a bounce prior to virialization, impelling a wholesale revision of the HKLM-PD formalism.
Keywords
Cite
@article{arxiv.astro-ph/0502081,
title = {Information content of the non-linear matter power spectrum},
author = {C. D. Rimes and A. J. S. Hamilton},
journal= {arXiv preprint arXiv:astro-ph/0502081},
year = {2009}
}
Comments
5 pages, 3 figures. Accepted to Monthly Notices of the Royal Astronomical Society Letters. Revised to match accepted version