The scaling of the redshift power spectrum: observations from the las campanas redshift survey

Jan, 2001
20 pages
Published in:
  • Mon.Not.Roy.Astron.Soc. 325 (2001) 1389
e-Print:
Report number:
  • SHAO-MPA-002

Citations per year

200120062011201620201320
Abstract: (arXiv)
In a recent paper we have studied the redshift power spectrum PS(k,μ)P^S(k,\mu) in three CDM models with the help of high resolution simulations. Here we apply the method to the largest available redshift survey, the Las Campanas Redshift Survey (LCRS). The basic model is to express PS(k,μ)P^S(k,\mu) as a product of three factors P^S(k,\mu)=P^R(k)(1+\beta\mu^2)^2 D(k,\mu). Here μ\mu is the cosine of the angle between the wave vector and the line of sight. The damping function DD for the range of scales accessible to an accurate analysis of the LCRS is well approximated by the Lorentz factor D=[1+{1\over 2}(k\mu\sigma_{12})^2]^{-1}. We have investigated different values for β\beta (β=0.4\beta=0.4, 0.5, 0.6), and measured PR(k)P^R(k) and σ12(k)\sigma_{12}(k) from PS(k,μ)P^S(k,\mu) for different values of μ\mu. The velocity dispersion σ12(k)\sigma_{12}(k) is nearly a constant from k=0.5k=0.5 to 3 \mpci. The average value for this range is 510\pm 70 \kms. The power spectrum PR(k)P^R(k) decreases with kk approximately with k1.7k^{-1.7} for kk between 0.1 and 4 \mpci. The statistical significance of the results, and the error bars, are found with the help of mock samples constructed from a large set of high resolution simulations. A flat, low-density (Ω0=0.2\Omega_0=0.2) CDM model can give a good fit to the data, if a scale-dependent special bias scheme is used which we have called the cluster-under-weighted bias (Jing et al.).