Density fields and halo mass functions in the Geometrical Adhesion toy Model

Details Density fields and halo mass functions in the Geometrical Adhesion toy Model Density fields and halo mass functions in the Geometrical Adhesion toy Model

2010-09-10

arxiv.org/abs/1009.1974v1

Phys.Rev.D83:043508,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

29 pages

Scientific paper

10.1103/PhysRevD.83.043508

In dimension 2 and above, the Burgers dynamics, the so-called "adhesion model" in cosmology, can actually give rise to several dynamics in the inviscid limit. We investigate here the statistical properties of the density field when it is defined by a "geometrical model' associated with this Burgers velocity field and where the matter distribution is fully determined, at each time step, by geometrical constructions. Our investigations are based on a set of numerical experiments that make use of an improved algorithm, for which the geometrical constructions are efficient and robust. In this work we focus on Gaussian initial conditions with power-law power spectra of slope $n$ in the range $-3

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