论文标题
通过空间自相关的统计测试在星形区域中量化运动学子结构
Quantifying kinematic substructure in star-forming regions with statistical tests of spatial autocorrelation
论文作者
论文摘要
我们调查是否可以使用Moran的$ i $统计数据来量化年轻恒星形成区域中的空间基因结构。它在年轻的恒星簇中的存在将表明该系统是由最初的下结构条件形成的，即即使群集在空间上平滑且集中浓缩，恒星簇形成的分层模型也是如此。另一方面，它的缺失将证明恒星簇是单层形成的。 Moran的$ i $统计量适用于具有不同原始空间速度结构的$ n $体体模拟，并研究了其演变。发现该统计量可用于可靠地量化空间基因组结构，并可用于提供证据证明是否最好由$ \ lyssim $ 6 MYR的区域的空间基因组结构进行，这是由恒星形成的层次结构或单层模型最好地重现的。莫兰（Moran）的$ i $统计数据还能够最终说明数据不是$ $ $ $ $与缺乏运动基本结构的初始条件（例如单片模型），在年龄较大的地区（可能超过10 Myrs）。因此，这可以提供恒星簇形成过程的运动学特征，在删除任何初始空间结构后，许多MYR可观察到。
We investigate whether spatial-kinematic substructure in young star-forming regions can be quantified using Moran's $I$ statistic. Its presence in young star clusters would provide an indication that the system formed from initially substructured conditions, as expected by the hierarchical model of star cluster formation, even if the cluster were spatially smooth and centrally concentrated. Its absence, on the other hand, would be evidence that star clusters form monolithically. The Moran's $I$ statistic is applied to $N$-body simulations of star clusters with different primordial spatial-velocity structures, and its evolution over time is studied. It is found that this statistic can be used to reliably quantify spatial-kinematic substructure, and can be used to provide evidence as to whether the spatial-kinematic structure of regions with ages $\lesssim$ 6 Myr is best reproduced by the hierarchical or monolithic models of star formation. Moran's $I$ statistic is also able to conclusively say whether the data are $not$ consistent with initial conditions that lack kinematic substructure, such as the monolithic model, in regions with ages up to, and potentially beyond, 10 Myrs. This can therefore provide a kinematic signature of the star cluster formation process that is observable for many Myr after any initial spatial structure has been erased.
