Velocity Differences as a Probe of Non--Gaussian Density Fields

Details Velocity Differences as a Probe of Non--Gaussian Density Fields Velocity Differences as a Probe of Non--Gaussian Density Fields

1994-05-04

arxiv.org/abs/astro-ph/9405011v1

Astronomy and Astrophysics

Astrophysics

18 pages, LATEX style, SISSA-37-94-A, OSU-TA-4-94

Scientific paper

10.1086/175666

We examine the multi--point velocity field for non--Gaussian models as a probe of non--Gaussian behavior. The two--point velocity correlation is not a useful indicator of a non--Gaussian density field, since it depends only on the power spectrum, even for non--Gaussian models. However, we show that the distribution of velocity differences $\bfv_1 - \bfv_2$, where $\bfv_1$ and $\bfv_2$ are measured at the points $\bfr_1$ and $\bfr_2$, respectively, is a good probe of non--Gaussian behavior, in that $p(\bfv_1 - \bfv_2)$ tends to be non--Gaussian whenever the density field is non--Gaussian. As an example, we examine the behavior of $p(\bfv_1 - \bfv_2)$ for non--Gaussian seed models, in which the density field is the convolution of a distribution of points with a set of density profiles. We apply these results to the global texture model.

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