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• W2023309167 abstract "We present a simple model based on the dark halo approach which provides a useful way to understand key points that determine the shape of the non-Gaussian tails of the dark matter one-point probability distribution function (PDF). In particular, using scale-free models with a power-law profile of dark haloes, we derive a simple analytic expression for the one-point PDF. It is found that the shape of the PDF changes at a characteristic value of δ*, which is defined by the smoothed density of a halo with characteristic mass M* at the epoch. In cold dark matter models with top-hat smoothing filters, the characteristic smoothed density at the present time typically takes the value δ* ≫ 1 for a small smoothing scale Rth ∼ 1 h−1 Mpc and conversely δ* ≪ 1 for a large smoothing scale Rth > 10 h−1 Mpc. In the range δ/δ* < 1, the shape of the PDF is almost solely determined by the outer slope of haloes and scales as a power law. The resultant non-Gaussian tails of the PDF then resemble log-normal PDFs in that range and show good agreement with N-body simulations, which can be ascribed to the universality of the outer slope of the halo profile. In contrast, the tails of the one-point PDF in the range δ/δ* > 1 basically follow the steep exponential tails of the halo mass function, which exhibit a strong sensitivity on both the outer slope of the halo profile and the initial power spectrum. Based on these results, a discussion on the PDF of galaxy distribution and application to weak lensing statistics are also presented." @default.
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• W2023309167 date "2003-02-21" @default.
• W2023309167 modified "2023-10-03" @default.
• W2023309167 title "Non-Gaussian tails of cosmological density distribution function from dark halo approach" @default.
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• W2023309167 doi "https://doi.org/10.1046/j.1365-8711.2003.06199.x" @default.
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