On the function describing the stellar initial mass function
On the function describing the stellar initial mass function
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关于描述恒星初始质量函数的函数
DOI：
10.1093/mnras/sts479
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发表时间：
2012
影响因子：
4.8
通讯作者：
T. Maschberger
中科院分区：
文献类型：
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作者：
T. Maschberger
我们提出了一种国际货币基金组织的泛函形式，即L 3国际货币基金组织，它是对数正态分布的自然重尾近似。它由一个低质量幂定律和一个高质量幂定律组成，这两个定律顺利地结合在一起。要实现这一点，需要三个参数。Kroupa-2001a、Kroupa-2002a和Chabrier-2003b(单星或系统)的标准IMF基本上与这种形式没有区别。与国际货币基金组织的其他三参数函数相比，L_3国际货币基金组织的优点是累积分布函数和许多其他特征量具有封闭的形式，例如质量母函数可以显式写下来。
We propose a functional form for the IMF, the L_3 IMF, which is a natural heavy-tailed approximation to the log-normal distribution. It is composed of a low-mass power law and a high mass power-law which are smoothly joined together. Three parameters are needed to achieve this. The standard IMFs of Kroupa-2001a, Kroupa-2002a and Chabrier-2003b (single stars or systems) are essentially indistinguishable from this form. Compared to other 3-parameter functions of the IMF, the L_3 IMF has the advantage that the cumulative distribution function and many other characteristic quantities have a closed form, the mass generating function, for example, can be written down explicitly.