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The Scale-free Character Of The Cluster Mass Function And The Universalityof The Stellar Initial Mass Function

机译：团簇质量函数的无标度特征和恒星初始质量函数的普遍性

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Our recent determination of a Salpeter slope for the initial mass function (IMF) in the field of 30 Doradus appears to be in conflict with simple probabilistic counting arguments advanced in the past to support observational claims of a steeper IMF in the LMC field. In this paper we reexamine these arguments and show by explicit construction that, contrary to these claims, the field IMF is expected to be exactly the same as the stellar IMF of the clusters out of which the field was presumably formed. We show that the current data on the mass distribution of clusters themselves is in excellent agreement with our model, and is consistent with a single spectrum by the number of stars of the type n~β, with f3 between -1.8 and -2.2 down to the smallest clusters, without any preferred mass scale for cluster formation. We also use the random sampling model to estimate the statistics of the maximal mass star in clusters, and confirm the discrepancy with observations found by Weidner & Kroupa. We argue that rather than signaling the violation of the random sampling model, these observations reflect the gravitationally unstable nature of systems with one very large mass star. We stress the importance of the random sampling model as a null hypothesis, whose violation would signal the presence of interesting physics.
机译：我们最近确定30 Doradus场中初始质量函数（IMF）的Salpeter斜率似乎与过去为支持LMC场中更陡峭的IMF的观测要求而提出的简单概率计数论证相冲突。在本文中，我们重新审查了这些论点，并通过明确的构造表明，与这些主张相反，磁场IMF预期与推测是由该磁场形成的星团的恒星IMF完全相同。我们表明，有关星团本身质量分布的当前数据与我们的模型非常吻合，并且与单个光谱的n〜β型恒星数量一致，f3在-1.8至-2.2之间，直至最小的团簇，没有任何优选的团簇形成规模。我们还使用随机抽样模型来估计星团中最大质量恒星的统计数据，并根据Weidner＆Kroupa的观测结果来确认差异。我们认为，这些观察并没有表示违反随机采样模型，而是反映了具有一个非常大质量恒星的系统的重力不稳定性质。我们强调随机抽样模型作为零假设的重要性，违反该假设将表明存在有趣的物理现象。

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