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Linear Power Spectra in Cold+Hot Dark Matter Models: Analytical Approximations and Applications | | | Date: |
31 May 1996 | | Journal: | Astrophys.J. 471 (1996) 13-23 | | Abstract: | This paper presents simple analytic approximations to the linear power spectra, linear growth rates, and rms mass fluctuations for both components in a family of cold+hot dark matter (CDM+HDM) models that are of current cosmological interest. The formulas are valid for a wide range of wavenumber, neutrino fraction, redshift, and Hubble constant: $klo 10,h$ Mpc$^{-1}$, $0.05lo onulo 0.3$, $0le zlo 15$, and $0.5lo h lo 0.8$. A new, redshift-dependent shape parameter $Gamma_
u=a^{1/2}onu h^2$ is introduced to simplify the multi-dimensional parameter space and to characterize the effect of massive neutrinos on the power spectrum. The physical origin of $Gamma_
u$ lies in the neutrino free-streaming process, and the analytic approximations can be simplified to depend only on this variable and $onu$. Linear calculations with these power spectra as input are performed to compare the predictions of $onulo 0.3$ models with observational constraints from the reconstructed linear power spectrum and cluster abundance. The usual assumption of an exact scale-invariant primordial power spectrum is relaxed to allow a spectral index of $0.8lo nle 1$. It is found that a slight tilt of $n=0.9$ (no tensor mode) or $n=0.95$ (with tensor mode) in $onusim 0.1-0.2$ CDM+HDM models gives a power spectrum similar to that of an open CDM model with a shape parameter $Gamma=0.25$, providing good agreement with the power spectrum reconstructed by Peacock and Dodds (1994) and the observed cluster abundance. | | Source: | arXiv, astro-ph/9605198 | | Services: | Forum | Review | PDF | Favorites | |
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