He-C-O混合物着火曲线的解析与数值比较
The Differences between Analytical and Numerical Ignition Curve of He-C-O Mixture
摘要：
本文利用大型反应网络对具有典型白矮星（WD）物质成分的单区核燃料的点火条件进行了研究。引爆的必要条件，但可能不是充分条件，是核燃烧进行的时间尺度小于声音穿越的时间尺度。在典型的白矮星热力学条件下，核反应时间尺度敏感地依赖于所选择的核反应网络，并且广泛使用的解析公式不足以精确地确定不稳定的点火条件，其答案在于完全可压缩的反应湍流模拟。在数值模拟中，我们使用天体物理程序TORCH模拟了核反应。我们报告的差异，由于核反应网络的大小。我们的研究结果具有影响的数值结果，使用流行的19种网络在多维模拟WD的Ekrasekhar和子Ekrasekhar群众。我们提出了一个足够准确的一般标准，在温度-密度（$T-ρ$）平面为一个给定的初始燃料点燃在一个不稳定的方式。
英文摘要：
In this paper, we use large reaction networks to find ignition conditions of single-zone nuclear fuel with compositions typical of white dwarf (WD) matter. The necessary but, possibly not sufficient condition for initiation of detonation is that the nuclear burning proceeds on smaller timescale than the sound-crossing timescale. Under typical white dwarf thermodynamic conditions, the nuclear timescale depends sensitively on the chosen nuclear reaction network, and widely-used analytical formulae are not sufficient to accurately determine unstable ignition conditions the answer to which lies in the fully compressible reactive turbulent simulations. We model the nuclear reactions in the numerical simulation using the astrophysical code TORCH. We report the differences introduced due to the size of the nuclear reaction network. Our findings have implications for numerical results obtained using the popular 19-species network in multidimensional simulations of WD of Chandrasekhar and sub-Chandrasekhar masses. We present a sufficiently accurate general criterion in temperature-density ($T-ρ$) plane for a given initial fuel to ignite in an unstable fashion.
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