The Quasi-Linear Evolution of the Density Field in Models of Gravitational Instability

Details The Quasi-Linear Evolution of the Density Field in Models of Gravitational Instability The Quasi-Linear Evolution of the Density Field in Models of Gravitational Instability

1993-11-22

arxiv.org/abs/astro-ph/9311055v1

Mon.Not.Roy.Astron.Soc.269:947,1994

Astronomy and Astrophysics

Astrophysics

12 pages; Plain Tex

Scientific paper

Two quasi-linear approximations, the frozen flow approximation (FFA) and the frozen potential approximation (FPA), have been proposed recently for studying the evolution of a collisionless self-gravitating fluid. In the FFA it is assumed that the velocity field remains unchanged from its value obtained from the linear theory whereas in FPA the same approximation is made for the gravitational potential. In this paper we compare these and the older Zel'dovich approximation by calculating the evolution of the density in perturbation theory. In particular we compute the skewness, including the smoothing effects, and the kurtosis for the FFA, FPA and Zel'dovich approximation and compare their relative accuracy.

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