A ``Skewed'' lognormal approximation to the probability distribution function of the large-scale density field

Details A ``Skewed'' lognormal approximation to the probability distribution function of the large-scale density field A ``Skewed'' lognormal approximation to the probability distribution function of the large-scale density field

1994-02-28

arxiv.org/abs/astro-ph/9402071v1

Astrophys.J. 435 (1994) L536-539

Astronomy and Astrophysics

Astrophysics

8 pages, uuencoded postcript, FERMILAB-Pub-94/050-A, Submitted to ApJ Letters

Scientific paper

10.1086/174834

I propose a method to fit the probability distribution function (hereafter PDF) of the large scale density field rho, motivated by a Lagrangian version of the continuity equation. It consists in applying the Edgeworth expansion to the quantity Phi=log rho - < log rho >. The method is tested on the matter particle distribution in two cold dark matter N-body simulations of different physical sizes to cover a large dynamic range. It is seen to be very efficient, even in the non-linear regime, and may thus be used as an analytical tool to study the effect on the PDF of the transition between the weakly non-linear regime and the highly non-linear regime.

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