A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function

Details A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function

1999-06-24

arxiv.org/abs/astro-ph/9906375v1

Astrophys.J. 539 (2000) 493-496

Astronomy and Astrophysics

Astrophysics

15 pages with no figures, submitted to Astrophysical Journal

Scientific paper

10.1086/309246

We have investigated the relation between the two-point spatial correlation function and the density profile of the dark matter halo in the strongly non-linear regime. It is well known that when the density fluctuation grows into dark matter halo whose density profile is $\rho \propto r^{-\epsilon}$(${3/2}<\epsilon<3$) on almost all mass scales, the two-point spatial correlation function obeys a power law with the power index $\gamma = 2\epsilon -3$ in the strongly non-linear regime. We find the form of the two-point spatial correlation function, which does not obey the power law when the power index $\epsilon$ is smaller than 3/2, such as the density profile $\rho \propto r^{-1}$ around the center of the halo which is proposed by Navarro, Frenk & White (1996,1997). By using the BBGKY equation in the strongly non-linear regime, it is also found that velocity parameter $h \equiv - < v > / \dot{a}x$ is not a constant even in the strongly non-linear regime ($\tilde{x} \equiv x/x_{nl} \to 0$) although it is a constant when $\epsilon > 3/2$ and then the two-point spatial correlation function can be regarded as the power law. The velocity parameter $h$ becomes 0 at the non-linear limit of $\tilde{x} \to 0$, that is, the stable clustering hypothesis cannot be satisfied when $\epsilon < 3/2$.

Affiliated with

Also associated with

No associations

Rating

A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Universal Profile of the Dark Matter Halo and the Two-point Correlation Function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429037