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arXiv 1209.0977astro-ph.SR
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团簇中Li丰度的扩散超调方法

The diffusive overshooting approach on Li abundance in clusters

Q. S. Zhang

摘要:

日震研究表明,对流超冲可以穿透$0.37H_P$到温度为$2.5\times10^6 K$的位置,这是反应$Li^7(p,α)He^4$的典型温度。这表明在研究太阳Li丰度问题时,应考虑过冲混合效应。对太阳孪晶锂丰度的观测表明,太阳并不是很奇特。在研究团簇中Li丰度时,还应考虑过冲混合效应。然而,与$0.37H_P$长度的完全过冲混合导致太多的Li耗尽,以适合在太阳情况下的观察。因此,用扩散过程来描述超调现象更为合适。扩散过冲方法需要湍流均方根。过冲区的速度来计算扩散系数。日震研究提出的湍流对流模型能够模拟日震过冲区的湍流特性。然而,TCM往往过于复杂,难以应用于恒星演化的计算。这是一个更简单的方法来使用的渐近解的中药。本文利用Li & Yang的TCM的渐近解,研究了星团(Hyades,Praesepe,NGC6633,NGC752,NGC3680 & M67)中Li的丰度。研究发现,过冲混合导致了老团簇($t>1Gyr$)中Li的显著耗尽,而对年轻团簇($t<1Gyr$)的影响很小.

英文摘要:

The helioseimic investigation shows that the convective overshooting can penetrate $0.37H_P$ to the location where the temperature is $2.5\times10^6 K$ which is the typical temperature of the reaction $Li^7(p,α)He^4$. This indicates that the overshooting mixing should be involved in investigating the solar Li abundance problem. Observations of Li abundance of solar-twins show that the sun is not very peculiar. The overshooting mixing should be also involved in investigating Li abundance in clusters. However, the fully overshooting mixing with the length of $0.37H_P$ results in too much Li depletion to fit the observation in the solar case. Therefore, using the diffusive process to describe the overshooting is more suitable. The diffusive overshooting approach requires the turbulent r.m.s. velocity in the overshooting region to calculate the diffusion coefficient. Turbulent convection models(TCMs), which are suggested by helioseimic investigation, can provide the turbulent properties in the overshooting region. However, TCMs are often too complex to be applied in the calculations of the stellar evolution. It is an easier way to use the asymptotic solution of TCMs. In this paper, I use the asymptotic solution of Li & Yang's TCM, which results in agreements in both solar sound speed and solar Li abundance, to investigate Li abundance in clusters(Hyades, Praesepe, NGC6633, NGC752, NGC3680 & M67). It is found that the overshooting mixing leads to significant Li depletion in the old clusters($t>1Gyr$) and little effect in the young clusters($t<1Gyr$).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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