Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-06-29
Mon.Not.Roy.Astron.Soc. 309 (1999) 1007-1016
Astronomy and Astrophysics
Astrophysics
10 pages including 6 figures. Accepted for publication in Monthly Notices
Scientific paper
10.1046/j.1365-8711.1999.02912.x
We use a high-resolution dissipationless simulation to study the evolution of the dark matter and halo distributions in a spatially flat cosmological model dominated by a cosmological constant $\Lambda$ and cold dark matter ($\Lambda$CDM). In order to quantify the evolution of structure, we calculate the Minkowski functionals of the halos and the dark matter component at various redshifts. A comparison of Minkowski functionals and the more standard correlation function analysis shows that the Minkowski functionals contain information about correlation functions of arbitrary order. While little evolution of the Minkowski functionals of halos between $z=4$ and $z=0$ is observed, we find that the Minkowski functionals of the dark matter evolve rapidly with time. The difference of the Minkowski functionals of halos and dark matter can be interpreted as a scale dependent bias. This implies that scale-dependent bias is a property of not only the two-point halo correlation function, but also of correlation functions of higher order.
Gottloeber Stefan
Klypin Anatoly A.
Kravtsov Andrey V.
Schmalzing Jens
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