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arXiv 0906.5071astro-ph.CO
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从投影相空间密度计算星系团的质量和各向异性分布:用模拟数据检验方法

The mass and anisotropy profiles of galaxy clusters from the projected phase space density: testing the method on simulated data

Radoslaw Wojtak, Ewa L. Lokas, Gary A. Mamon, Stefan Gottloeber

摘要:

本文提出了一种从运动学数据约束星系团质量和速度各向异性分布的新方法。该方法是基于相空间密度的模型,该模型允许各向异性随半径在两个渐近值之间变化。这些渐近线之间的过渡的特征尺度是固定的,并调整到一个典型的各向异性的宇宙学模拟产生的配置文件。该模型的参数化的两个值的各向异性,在集群的中心和无穷大,和两个参数的NFW密度分布,规模半径和规模的质量。为了检验该方法在重建星系团真实参数方面的性能,我们分析了标准LCDM模型宇宙学模拟产生的20个松弛星系团的模拟运动学数据。我们使用贝叶斯推理方法和分析进行以下马尔可夫链蒙特卡罗方法。质量分布的参数被很好地再现,但我们注意到,质量通常被低估了15%,这可能是由于存在小的速度子结构。一般来说,对单个团簇的各向异性分布的限制几乎没有决定性。虽然中心渐近值被精确地确定,但是外部渐近值受到由在大集群中心距离处的子结构引起的显著系统误差的影响。如果对至少几个簇进行联合分析,则各向异性轮廓会受到更好的约束。在这种情况下,可以在维里球内的半径上再现二十年内各向异性的径向变化。

英文摘要:

We present a new method of constraining the mass and velocity anisotropy profiles of galaxy clusters from kinematic data. The method is based on a model of the phase space density which allows the anisotropy to vary with radius between two asymptotic values. The characteristic scale of transition between these asymptotes is fixed and tuned to a typical anisotropy profile resulting from cosmological simulations. The model is parametrized by two values of anisotropy, at the centre of the cluster and at infinity, and two parameters of the NFW density profile, the scale radius and the scale mass. In order to test the performance of the method in reconstructing the true cluster parameters we analyze mock kinematic data for 20 relaxed galaxy clusters generated from a cosmological simulation of the standard LCDM model. We use Bayesian methods of inference and the analysis is carried out following the Markov Chain Monte Carlo approach. The parameters of the mass profile are reproduced quite well, but we note that the mass is typically underestimated by 15 percent, probably due to the presence of small velocity substructures. The constraints on the anisotropy profile for a single cluster are in general barely conclusive. Although the central asymptotic value is determined accurately, the outer one is subject to significant systematic errors caused by substructures at large clustercentric distance. The anisotropy profile is much better constrained if one performs joint analysis of at least a few clusters. In this case it is possible to reproduce the radial variation of the anisotropy over two decades in radius inside the virial sphere.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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