Non-linearity and Non-Gaussianity through Phase Information

Details Non-linearity and Non-Gaussianity through Phase Information Non-linearity and Non-Gaussianity through Phase Information

2000-10-25

arxiv.org/abs/astro-ph/0010521v1

Astronomy and Astrophysics

Astrophysics

7 pages, 1 figure (two parts). To appear in the proceedings of The MPA/ESO/MPE Joint Astronomy Conference "Mining the Sky" hel

Scientific paper

10.1007/10849171_34

In the standard picture of structure formation, initially random-phase fluctuations are amplified by non-linear gravitational instability to produce a final distribution of mass which is highly non-Gaussian and has highly coupled Fourier phases. Second-order statistics, such as the power spectrum, are blind to this kind of phase association. We discuss the information contained in the phases of cosmological density fluctuations and their possible use in statistical analysis tools. In particular, we show how the bispectrum measures a particular form of phase association called quadratic phase coupling, show how to visualise phase association using colour models. These techniques offer the prospect of more complete tests of initial non-Gaussianity than those available at present.

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