Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping
Cosmology and Nongalactic Astrophysics
2011-02-11 v2
Abstract
We find that nonlinearities in the dark-matter power spectrum are dramatically smaller if the density field first undergoes a logarithmic mapping. In the Millennium simulation, this procedure produces a power spectrum with a shape hardly departing from the linear power spectrum for k <~ 1 h/Mpc at all redshifts. Also, this procedure unveils pristine Fisher information on a range of scales reaching a factor of 2-3 smaller than in the standard power spectrum, yielding 10 times more cumulative signal-to-noise at z=0.
Cite
@article{arxiv.0903.4693,
title = {Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping},
author = {Mark C. Neyrinck and István Szapudi and Alexander S. Szalay},
journal= {arXiv preprint arXiv:0903.4693},
year = {2011}
}
Comments
4 pages, 5 figures, accepted to ApJ Letters. Minor changes to match accepted version. Illustrative large-scale-structure sonifications at http://skysrv.pha.jhu.edu/~neyrinck/sonifylss.html