从合成模型推知的星团初始质量分布
On the distribution of initial masses of stellar clusters inferred from synthesis models
摘要：
星团的基本性质，如恒星的年龄或初始总质量，通常是从人口合成模型推断。预测的属性，然后用来约束在各种环境中形成这样的集群所涉及的物理机制。然而，人口合成模型不能盲目地应用于这样的系统。我们发现，合成模型不能用通常的简单的方式来小质量的集群（说，M <几倍10**4 Mo）。其原因是，人口合成的基本假设（不同演化阶段的恒星数量之间的固定比例）在这些星团中并不符合，因为它们的恒星数量很少。这种恒星质量函数的不完全采样导致了具有相同演化条件（年龄、金属丰度和初始恒星质量分布函数）的星团的质光比的非高斯分布。我们回顾了一些测试，可以进行先验检查是否一个给定的集群可以与完全抽样的标准人口合成模型进行分析，或者，相反，必须使用一个概率框架。这导致重新评估的估计低质量尾部的初始质量分布函数的星团。
英文摘要：
The fundamental properties of stellar clusters, such as the age or the total initial mass in stars, are often inferred from population synthesis models. The predicted properties are then used to constrain the physical mechanisms involved in the formation of such clusters in a variety of environments. Population synthesis models cannot, however, be applied blindy to such systems. We show that synthesis models cannot be used in the usual straightforward way to small-mass clusters (say, M < few times 10**4 Mo). The reason is that the basic hypothesis underlying population synthesis (a fixed proportionality between the number of stars in the different evolutionary phases) is not fulfilled in these clusters due to their small number of stars. This incomplete sampling of the stellar mass function results in a non-gaussian distribution of the mass-luminosity ratio for clusters that share the same evolutionary conditions (age, metallicity and initial stellar mass distribution function). We review some tests that can be carried out a priori to check whether a given cluster can be analysed with the fully-sampled standard population synthesis models, or, on the contrary, a probabilistic framework must be used. This leads to a re-assessment in the estimation of the low-mass tail in the distribution function of initial masses of stellar clusters.
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