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arXiv 1608.07293astro-ph.GAastro-ph.SR
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星团恒星质量函数的径向变化

Radial Variation in the Stellar Mass Functions of Star Clusters

Jeremy J. Webb, Enrico Vesperini

摘要:

最近对银河系球状星团的一些观测研究测量了星团恒星质量函数$α$的斜率随星团中心距离$r$的变化。为了更深入地了解这些观测结果中所包含的信息,我们利用一套大型的$N$体模拟,探讨了具有各种初始条件的星团的$α(r)$演化。我们已经具体研究了如何的时间演化的$α(r)$的初始大小,质量,二进制分数,原始质量分离,黑洞保留,外部潮汐场,和初始质量函数本身的影响。先前的研究表明,$α_G$的进化与集群遭受的质量损失量密切相关。因此,对于每一个模拟,我们也遵循了集群的全球恒星质量函数,$α_G$的斜率的演变,并已表明,集群遵循一个明确的轨道在$α_G$ - $dα(r)/d(ln(r/r_m))$平面。因此,星团在$α_G-dα(r)/d(ln(r/r_m))$平面上的位置可以限制其动力学历史,特别是限制恒星初始质量函数的可能变化。因此,$α_G$ - $dα(r)/d(ln(r/r_m))$平面是充分利用星团恒星质量函数宽场研究中所含信息的关键工具。

英文摘要:

A number of recent observational studies of Galactic globular clusters have measured the variation in the slope of a cluster's stellar mass function $α$ with clustercentric distance $r$. In order to gather a deeper understanding of the information contained in such observations, we have explored the evolution of $α(r)$ for star clusters with a variety of initial conditions using a large suite of $N$-body simulations. We have specifically studied how the time evolution of $α(r)$ is affected by initial size, mass, binary fraction, primordial mass segregation, black hole retention, an external tidal field, and the initial mass function itself. Previous studies have shown that the evolution of $α_G$ is closely related to the amount of mass loss suffered by a cluster. Hence for each simulation we have also followed the evolution of the slope of the cluster's global stellar mass function, $α_G$, and have shown that clusters follow a well-defined track in the $α_G$-$dα(r)/d(ln(r/r_m))$ plane. The location of a cluster on the $α_G-dα(r)/d(ln(r/r_m))$ plane can therefore constrain its dynamical history and, in particular, constrain possible variations in the stellar initial mass function. The $α_G$-$dα(r)/d(ln(r/r_m))$ plane thus serves as a key tool for fully exploiting the information contained in wide field studies of cluster stellar mass functions.

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