English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We discuss the non--linear growth of the kurtosis of the smoothed peculiarvelocity field (along an arbitrary direction), in an Einstein--de Sitteruniverse, induced by Gaussian primordial density fluctuations. Applying theperturbative theory, we show that, for different cosmological models, adeparture from the original Gaussian distribution is gravitationally inducedonly on small scales ($\simlt 20-30$ Mpc). Models with scale--free powerspectrum $P(k)\propto k^{\,n}$, with $-1< n \leq 1$, are also considered. Whenthe fluid particles move according to the Zel'dovich approximation theprobability distribution of the peculiar velocity field remains unalteredduring the evolution.Comment: 10 pages in Latex (plus 2 figures in a separate file), PD-cosmo/940

Kurtosis as a non-Gaussian signature of the large-scale velocity field