The nonlinear probability distribution function in models with local primordial non-Gaussianity

Details The nonlinear probability distribution function in models with local primordial non-Gaussianity The nonlinear probability distribution function in models with local primordial non-Gaussianity

2008-12-11

arxiv.org/abs/0812.2253v1

Astronomy and Astrophysics

Astrophysics

7 pages, 2 figures, MNRAS submitted

Scientific paper

10.1111/j.1365-2966.2009.14672.x

We use the spherical evolution approximation to investigate nonlinear evolution from the non-Gaussian initial conditions characteristic of the local f_nl model. We provide an analytic formula for the nonlinearly evolved probability distribution function of the dark matter which shows that the under-dense tail of the nonlinear PDF in the f_nl model should differ significantly from that for Gaussian initial conditions. Measurements of the under-dense tail in numerical simulations may be affected by discreteness effects, and we use a Poisson counting model to describe this effect. Once this has been accounted for, our model is in good quantitative agreement with the simulations.

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