F. Lucchin et al., VELOCITY-FIELDS IN NON-GAUSSIAN COLD DARK-MATTER MODELS, Monthly Notices of the Royal Astronomical Society, 272(4), 1995, pp. 859-868
We analyse the large-scale velocity field obtained by N-body simulatio
ns of cold dark matter (CDM) models with non-Gaussian primordial densi
ty fluctuations, considering models with both positive and negative pr
imordial skewness in the density fluctuation distribution. We study th
e velocity probability distribution and calculate the dependence of th
e bulk flow, one-point velocity dispersion and cosmic Mach number on t
he filtering size. We find that the sign of the primordial skewness of
the density field provides poor discriminatory power on the evolved v
elocity field. All non-Gaussian models considered here tend to have lo
wer velocity dispersion and bulk flow than the standard Gaussian CDM m
odel, while the cosmic Mach number turns out to be a poor statistic in
characterizing the models. We also compare the large-scale velocity f
ield of a composite sample of optically selected galaxies as described
by the Local Group properties, bulk flow, velocity correlation functi
on and cosmic Mach number with the velocity field of mock catalogues e
xtracted from the N-body simulations. The comparison does not clearly
single out the best model: the standard Gaussian model is, however, ma
rginally preferred by the maximum likelihood analysis.