星系团的空间分布能告诉我们什么关于它们的标度关系？
What can the spatial distribution of galaxy clusters tell about their scaling relations?
摘要：
我们的目标是量化的星系团的不均匀分布，在傅立叶空间中的两点统计表示的能力，检索信息的基础标度关系。我们利用质量X射线光度标度关系对星系团进行了实例研究，并研究了它对这些天体的成团模式的影响。我们定义了亮度加权功率谱，并引入亮度功率谱作为感兴趣的属性的聚类的直接评估，在我们的情况下，簇X射线光度。使用一套从N体模拟中提取的晕目录和对质量X射线光度关系的现实估计，我们测量了这些统计数据及其相应的协方差矩阵。通过进行Fisher矩阵分析，我们量化了编码在两点统计探针的振幅、形状和完整形状中的信息内容（通过品质因数）。当分析到k~0.2 h/Mpc的尺度时，亮度功率谱的完整形状产生的品质因数比从未加权功率谱获得的数字高两个数量级，并且仅比从相同样品估计的X射线亮度函数中编码的值低一个数量级。这是对标准开发的分析的重大改进（即，未加权的）聚类探针。对星系团的成团及其对星系团内禀性质的明确依赖的测量有助于提高对星系团可观测量和星系团质量之间潜在联系的认识程度。
英文摘要：
We aim to quantify the capability of the inhomogeneous distribution of galaxy clusters, represented by the two-point statistics in Fourier space, to retrieve information on the underlying scaling relations. We make a case study using the mass X-ray luminosity scaling relation for galaxy clusters and study its impact on the clustering pattern of these objects. We define the luminosity-weighted power spectrum and introduce the luminosity power spectrum as direct assessment of the clustering of the property of interest, in our case, the cluster X-ray luminosity. Using a suite of halo catalogs extracted from N-body simulations and realistic estimates of the mass X-ray luminosity relation, we measured these statistics with their corresponding covariance matrices. By carrying out a Fisher matrix analysis, we quantified the content of information (by means of a figure-of merit) encoded in the amplitude, shape, and full shape of our probes for two-point statistics. The full shape of the luminosity power spectrum, when analyzed up to scales of k~0.2 h/Mpc, yields a figure of merit which is two orders of magnitude above the figure obtained from the unweighted power spectrum, and only one order of magnitude below the value encoded in X-ray luminosity function estimated from the same sample. This is a significant improvement over the analysis developed with the standard (i.e., unweighted) clustering probes. The measurements of the clustering of galaxy clusters and its explicit dependence on the cluster intrinsic properties can contribute to improving the degree of knowledge regarding the underlying links between cluster observables and the cluster masses (Abridged).
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