| | |
| | |
Stat |
Members: 3645 Articles: 2'501'711 Articles rated: 2609
20 April 2024 |
|
| | | |
|
Article overview
| |
|
Scaling properties of the redshift power spectrum: theoretical models | Y.P. Jing
; G. Boerner
; | Date: |
3 Sep 2000 | Journal: | ApJ (2001) 547, 545 | Subject: | astro-ph | Affiliation: | Partner Group of MPA, Shanghai Observatory), G. Boerner (MPA, Garching | Abstract: | We report the results of an analysis of the redshift power spectrum $P^S(k,mu)$ in three typical Cold Dark Matter (CDM) cosmological models, where $mu$ is the cosine of the angle between the wave vector and the line-of-sight. Two distinct biased tracers derived from the primordial density peaks of Bardeen et al. and the cluster-underweight model of Jing, Mo, & Börner are considered in addition to the pure dark matter models. Based on a large set of high resolution simulations, we have measured the redshift power spectrum for the three tracers from the linear to the nonlinear regime. We investigate the validity of the relation - guessed from linear theory - in the nonlinear regime $$ P^S(k,mu)=P^R(k)[1+etamu^2]^2D(k,mu,sigma_{12}(k)), $$ where $P^R(k)$ is the real space power spectrum, and $eta$ equals $Omega_0^{0.6}/b_l$. The damping function $D$ which should generally depend on $k$, $mu$, and $sigma_{12}(k)$, is found to be a function of only one variable $kmusigma_{12}(k)$. This scaling behavior extends into the nonlinear regime, while $D$ can be accurately expressed as a Lorentz function - well known from linear theory - for values $D > 0.1$. The difference between $sigma_{12}(k)$ and the pairwise velocity dispersion defined by the 3-D peculiar velocity of the simulations (taking $r=1/k$) is about 15%. Therefore $sigma_{12}(k)$ is a good indicator of the pairwise velocity dispersion. The exact functional form of $D$ depends on the cosmological model and on the bias scheme. We have given an accurate fitting formula for the functional form of $D$ for the models studied. | Source: | arXiv, astro-ph/0009032 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |