第一流体静力学核心，潮汐力和重力湍流波动如何设定恒星的特征质量
How first hydrostatic cores, tidal forces and gravo-turbulent fluctuations set the characteristic mass of stars
摘要：
恒星初始质量函数（IMF）在我们宇宙的历史中起着关键作用。我们提出了一个理论，是完全基于本地的过程，即尘埃不透明度限制，潮汐力和塌陷的气体信封的属性。这个想法是，中心物体的最终质量由最近的碎片的位置决定，这些碎片吸积了更远的气体，防止它落在中心物体上。为了估计吸积原恒星附近的相关统计数据，我们进行了高分辨率的数值模拟。我们还使用这些模拟进一步测试的想法，在现有的原恒星附近的碎片是决定性的设置恒星质谱的峰值。我们开发了一个分析模型，这是基于统计计数的湍流密度波动，在崩溃过程中产生的，至少等于第一个流体静力学核心的质量，并足够重要的取代潮汐和压力的力量是自引力。分析质量函数呈现出位于第一流体静力学核心质量的大约10倍处的峰值，与数值模拟结果非常一致。由于所涉及的物理过程都是局部的，即发生在几个100 AU或更低的尺度上，并且不依赖于大尺度下的气体分布和全球性质，如平均金斯质量，预计质谱是相对普遍的。
英文摘要：
The stellar initial mass function (IMF) is playing a critical role in the history of our universe. We propose a theory that is based solely on local processes, namely the dust opacity limit, the tidal forces and the properties of the collapsing gas envelope. The idea is that the final mass of the central object is determined by the location of the nearest fragments, which accrete the gas located further away, preventing it to fall onto the central object. To estimate the relevant statistics in the neighbourhood of an accreting protostar, we perform high resolution numerical simulations. We also use these simulations to further test the idea that fragmentation in the vicinity of an existing protostar is determinant in setting the peak of the stellar mass spectrum. We develop an analytical model, which is based on a statistical counting of the turbulent density fluctuations, generated during the collapse, that are at least equal to the mass of the first hydrostatic core, and sufficiently important to supersede tidal and pressure forces to be self-gravitating. The analytical mass function presents a peak located at roughly 10 times the mass of the first hydrostatic core in good agreement with the numerical simulations. Since the physical processes involved are all local, i.e. occurs at scales of a few 100 AU or below, and do not depend on the gas distribution at large scale and global properties such as the mean Jeans mass, the mass spectrum is expected to be relatively universal.
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