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arXiv 2102.08564astro-ph.GAastro-ph.SR
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恒星初始质量函数的湍流起源检验

Testing the Turbulent Origin of the Stellar Initial Mass Function

D. G. Nam, C. Federrath, M. R. Krumholz

摘要:

星际介质中的超音速湍流(ISM)与恒星的形成密切相关,因此许多理论将恒星的初始质量函数(IMF)与分子云的湍流性质联系起来。在这里,我们测试了三个基于湍流的IMF模型(Padoan & Nordlund 2002,Hennebelle & Chabrier 2008和Hopkins 2012),它们预测了IMF的高质量斜率($Γ$)$\mathrm{d} N/\mathrm{d} \log M \propto M^Γ$和湍流速度功率谱的指数n $E_v(k)\propto k^{-n} $之间的关系,其中$n\approx 2$对应于典型的ISM湍流。使用流体动力学模拟,我们驱动湍流与一个不寻常的指数$n\approx 1$,测量$Γ$,并比较结果与$n\approx 2$。我们发现,减少$n$从2到1主要改变了IMF的高质量区域(超过中位数质量),在那里我们测量高质量斜率的95%置信区间内的$-1.5<Γ<-1$为$n \approx 1$和$-3.7<Γ<-2.4$为$n\approx 2$,分别。因此,我们发现$n=1$导致IMF的高质量斜率显著平坦,形成的大质量恒星比$n \approx 2$更多。我们将这些模拟与三个IMF理论的预测进行比较。我们发现,虽然Padoan和Nordlund理论与我们的模拟相匹配,但其他理论要么无法再现模拟的主要定性结果,要么需要进行一些修改。我们的结论是湍流在塑造IMF中起着关键作用,较浅的湍流功率谱产生较浅的高质量IMF,因此更大质量的恒星。

英文摘要:

Supersonic turbulence in the interstellar medium (ISM) is closely linked to the formation of stars, and hence many theories connect the stellar initial mass function (IMF) with the turbulent properties of molecular clouds. Here we test three turbulence-based IMF models (by Padoan & Nordlund 2002, Hennebelle & Chabrier 2008, and Hopkins 2012), which predict the relation between the high-mass slope ($Γ$) of the IMF, $\mathrm{d} N/\mathrm{d} \log M \propto M^Γ$ and the exponent n of the velocity power spectrum of turbulence, $E_v(k)\propto k^{-n} $, where $n\approx 2$ corresponds to typical ISM turbulence. Using hydrodynamic simulations, we drive turbulence with an unusual index of $n\approx 1$, measure $Γ$, and compare the results with $n\approx 2$. We find that reducing $n$ from 2 to 1 primarily changes the high-mass region of the IMF (beyond the median mass), where we measure high-mass slopes within the 95 per cent confidence interval of $-1.5<Γ<-1$ for $n \approx 1$ and $-3.7<Γ<-2.4$ for $n\approx 2$, respectively. Thus, we find that $n=1$ results in a significantly flatter high-mass slope of the IMF, with more massive stars formed than for $n \approx 2$. We compare these simulations with the predictions of the three IMF theories. We find that while the Padoan & Nordlund theory matches our simulations with fair accuracy, the other theories either fail to reproduce the main qualitative outcome of the simulations or require some modifications. We conclude that turbulence plays a key role in shaping the IMF, with a shallower turbulence power spectrum producing a shallower high-mass IMF, and hence more massive stars.

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