Kurtosis as a Non--Gaussian Signature of the Large--Scale Velocity Field

Details Kurtosis as a Non--Gaussian Signature of the Large--Scale Velocity Field Kurtosis as a Non--Gaussian Signature of the Large--Scale Velocity Field

1994-03-17

arxiv.org/abs/astro-ph/9403035v1

Astrophys.J.436:5,1994

Astronomy and Astrophysics

Astrophysics

10 pages in Latex (plus 2 figures in a separate file), PD-cosmo/9401

Scientific paper

10.1086/174875

We discuss the non--linear growth of the kurtosis of the smoothed peculiar velocity field (along an arbitrary direction), in an Einstein--de Sitter universe, induced by Gaussian primordial density fluctuations. Applying the perturbative theory, we show that, for different cosmological models, a departure from the original Gaussian distribution is gravitationally induced only on small scales ($\simlt 20-30$ Mpc). Models with scale--free power spectrum $P(k)\propto k^{\,n}$, with $-1< n \leq 1$, are also considered. When the fluid particles move according to the Zel'dovich approximation the probability distribution of the peculiar velocity field remains unaltered during the evolution.

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