arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1209.2637astro-ph.COgr-qc
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千禧年模拟暗物质晕:多重分形和含均匀跃迁的空位分析

Millennium Simulation Dark Matter Haloes: Multi-fractal and Lacunarity Analysis with Homogeneity Transition

César A. Chacón-Cardona, Rigoberto A. Casas-Miranda

摘要:

我们从分形的角度研究了千禧年暗物质宇宙学模拟中暗物质在z = 0处分组的方式。从分形维数和空隙度的行为描述了千年模拟数据中均匀性交叉的确定。利用滑动窗口技术计算了分形关系的质量-半径维数、前因子F和空隙度。此外,我们确定了多重分形维数和空隙度谱,以及它们与径向距离的关系。计算结果表明,所有的分形数量的径向距离依赖性,与异质性集群的暗物质晕的深度为100 Mpc/h。千禧年模拟中的暗物质晕聚类显示出径向距离依赖性,有两个区域被明确定义。结构参数q >= 1的空隙度谱显示出相对最大值的区域,揭示了暗物质晕分布中簇和空洞的形成。多重分形维数和空隙度谱的使用,过渡到均匀性之间的深度为100 Mpc/h和120 Mpc/h的千禧年模拟暗物质晕检测。

英文摘要:

We investigate from the fractal viewpoint the way in which the dark matter is grouped at z = 0 in the Millennium dark matter cosmological simulation. The determination of the cross to homogeneity in the Millennium Simulation data is described from the behaviour of the fractal dimension and the lacunarity. We use the sliding window technique to calculate the fractal mass-radius dimension, the pre-factor F and the lacunarity of this fractal relation. Besides, we determinate the multi-fractal dimension and the lacunarity spectrum, including their dependence with radial distance. This calculations show a radial distance dependency of all the fractal quantities, with heterogeneity clustering of dark matter haloes up to depths of 100 Mpc/h. The dark matter haloes clustering in the Millennium Simulation shows a radial distance dependency, with two regions clearly defined. The lacunarity spectrum for values of the structure parameter q >= 1 shows regions with relative maxima, revealing the formation of clusters and voids in the dark matter haloes distribution. With the use of the multi-fractal dimension and the lacunarity spectrum, the transition to homogeneity at depths between 100 Mpc/h and 120 Mpc/h for the Millennium Simulation dark matter haloes is detected.

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