最佳取样星系范围恒星初始质量函数-观测试验和公开可用的GalIMF代码
The optimally-sampled galaxy-wide stellar initial mass function - Observational tests and the publicly available GalIMF code
摘要：
在这里，我们提出了一个完整的描述的综合星系范围内的初始质量函数（IGIMF）理论的最佳采样，并与现有的观测进行比较。最佳采样是我们用来离散成恒星质量的IMF确定性的方法。有证据表明，自然界可能更接近于确定性抽样，因为观测表明，各种相关观测值的分散度比随机抽样要小，这可能是由于恒星形成过程中的高度自我调节。在各种假设下的IGIMF的变化记录。IGIMF理论的结果与星团总质量与最大质量恒星质量之间的经验关系以及星系恒星形成率（SFR）与最大质量星系团质量之间的经验关系是一致的。特别是，我们注意到一个自然的协议与国际货币基金组织的幂律指数和星系的SFR之间的经验关系。IGIMF也导致了星系的SFR和其最大质量恒星的质量之间的关系，如果没有双星，SFR为$<10^{-4}$ M $_\odot$ /yr的星系应该没有II型超新星事件。此外，初始恒星质量的特定列表在恒星系统的数值模拟中也很有用。这是第一次，我们展示了最佳采样的银河系范围内的IMF（OSGIMF），它模仿了IGIMF的一个额外的锯齿状功能。最后，提供了一个Python模块GalIMF，允许计算IGIMF和OSGIMF依赖于银河系范围的SFR和金属丰度。
英文摘要：
Here we present a full description of the integrated galaxy-wide initial mass function (IGIMF) theory in terms of the optimal sampling and compare it with available observations. Optimal sampling is the method we use to discretize the IMF into stellar masses deterministically. Evidence has been indicating that nature may be closer to deterministic sampling as observations suggest a smaller scatter of various relevant observables than random sampling would give, which may result from a high level of self-regulation during the star formation process. The variation of the IGIMFs under various assumptions are documented. The results of the IGIMF theory are consistent with the empirical relation between the total mass of a star cluster and the mass of its most massive star, and the empirical relation between a galaxy's star formation rate (SFR) and the mass of its most massive cluster. Particularly, we note a natural agreement with the empirical relation between the IMF's power-law index and a galaxy's SFR. The IGIMF also results in a relation between the galaxy's SFR and the mass of its most massive star such that, if there were no binaries, galaxies with SFR $<10^{-4}$ M$_\odot$/yr should host no Type II supernova events. In addition, a specific list of initial stellar masses can be useful in numerical simulations of stellar systems. For the first time, we show optimally-sampled galaxy-wide IMFs (OSGIMF) which mimics the IGIMF with an additional serrated feature. Finally, A Python module, GalIMF, is provided allowing the calculation of the IGIMF and OSGIMF in dependence on the galaxy-wide SFR and metallicity.
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