Skewness in large-scale structure and non-Gaussian initial conditions

Details Skewness in large-scale structure and non-Gaussian initial conditions Skewness in large-scale structure and non-Gaussian initial conditions

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...429...36f&link_type=abstract

The Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 429, no. 1, p. 36-42

Other

57

Boundary Value Problems, Galactic Clusters, Galactic Evolution, Skewness, Spatial Distribution, Boundary Conditions, Density Distribution, Fluctuation Theory, Nonlinear Evolution Equations, Nonlinear Systems

Scientific paper

We compute the skewness of the galaxy distribution arising from the nonlinear evolution of arbitrary non-Gaussian intial conditions to second order in perturbation theory including the effects of nonlinear biasing. The result contains a term identical to that for a Gaussian initial distribution plus terms which depend on the skewness and kurtosis of the initial conditions. The results are model dependent; we present calculations for several toy models. At late times, the leading contribution from the initial skewness decays away relative to the other terms and becomes increasingly unimportant, but the contribution from initial kurtosis, previously overlooked, has the same time dependence as the Gaussian terms. Observations of a linear dependence of the normalized skewness on the rms density fluctuation therefore do not necessarily rule out initially non-Gaussian models. We also show that with non-Gaussian initial conditions the first correction to linear theory for the mean square density fluctuation is larger than for Gaussian models.

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