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- W2001232227 abstract "Using a non-perturbative method developed in a previous work (Paper II), we derive the probability distributionP(R) of the density contrast within spherical cells in the quasi-linear regime for some non-Gaussian initial conditions. We describe three such models. The rst one is a straightforward generalization of the Gaussian scenario. It can be seen as a phenomenological description of a density eld where the tails of the linear density contrast distribution would be of the form PL(L) e j Lj ,w here is no longer restricted to 2 (as in the Gaussian case). We derive exact results for P(R) in the quasi-linear limit. The second model is a physically motivated isocurvature CDM scenario. Our approach needs to be adapted to this specic case and in order to get convenient analytical results we introduce a simple approximation (which is not related to the gravitational dynamics but to the initial conditions). Then, we nd a good agreement with the available results from numerical simulations for the pdf of the linear density contrast for L;R > 0. We can expect a similar accuracy for the non-linear pdfP(R). Finally, the third model corresponds to the small deviations from Gaussianity which arise in standard slow-roll inflation. We obtain exact results for the pdf of the density eld in the quasi-linear limit, to rst-order over the primordial deviations from Gaussianity." @default.
- W2001232227 created "2016-06-24" @default.
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- W2001232227 date "2002-02-01" @default.
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- W2001232227 title "Dynamics of gravitational clustering III. The quasi-linear regime for some non-Gaussian initial conditions" @default.
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