Cosmic background anistropies in CDM cosmology
Cosmic background anistropies in CDM cosmology
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CDM宇宙学中的宇宙背景各向异性
DOI：
10.1086/192220
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发表时间：
1994
影响因子：
6.4
通讯作者：
N. Sugiyama
中科院分区：
文献类型：
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作者：
N. Sugiyama
宇宙微波背景 (CMB) 各向异性和密度波动是针对具有多种参数的平面冷暗物质 (CDM) 模型计算的，即标准复合和各种再电离时期的 $\Omega_0、h$ 和 $\Omega_B$。给出了 CMB 各向异性的功率谱表，其形式为 $C_\ell$ 与 $\ell$ 的函数。尽管在这些表中假设了 Harrison-Zeldovich 初始频谱，但我们提出了简单的近似，用于从具有 Harrison-Zeldovich 频谱的倾斜频谱中获取对应于倾斜频谱的 $C_\ell$。 $\sigma_8$ 值是通过 $\sigma(10^\circ)$、固定 $Q_{rms-PS}$ 和 COBE DMR 2 年标准化获得的物质密度谱。给出了适用于高重子密度模型的密度传递函数拟合公式的简单修改。通过使用数值结果和这些拟合公式，我们计算了 $\sigma_8$ 和 $Q_{rms-PS}$ 之间的关系，并且发现了良好的一致性。速度场也被计算。
Cosmic microwave background (CMB) anisotropies and density fluctuations are calculated for flat cold dark matter (CDM) models with a wide range of parameters, i.e., $\Omega_0, h$ and $\Omega_B$ for both standard recombination and various epochs of reionization. Tables of the power spectrum of CMB anisotropies in the form of $C_\ell$'s as a function of $\ell$ are presented. Although the Harrison-Zeldovich initial spectrum is assumed in these tables, we present simple approximations for obtaining the $C_\ell$'s corresponding to a tilted spectrum from those with a Harrison-Zeldovich spectrum. The $\sigma_8$ values are obtained for the matter density spectrum, with $\sigma(10^\circ)$, fixed $Q_{rms-PS}$ and COBE DMR 2 year normalizations. Simple modifications of the fitting formula of the density transfer function which are applicable for models with high baryon density are given. By using both numerical results and these fitting formulae, we calculate the relation between $\sigma_8$ and $Q_{rms-PS}$, and find good agreement. Velocity fields are also calculated.