基于Ledoux判别反演的地震太阳模型
Seismic Solar Models from Ledoux discriminant inversions
摘要：
太阳构成了一个极好的基础物理实验室。随着日震学的出现，我们能够以前所未有的精度探测其内部层。然而，目前太阳能建模的状态仍然受到繁琐问题的影响。这些问题之一是与最近的光球丰度和日震约束计算模型之间的分歧。我们使用太阳的演化模型作为初始条件，其结构的重新整合，使用勒杜判别反演。由此产生的模型被定义为地震太阳模型，满足流体静力平衡方程。它们将使我们能够更好地约束太阳的内部结构，并为进化模型提供补充信息。这些地震模型是使用具有不同状态方程、丰度和不透明度表的各种参考模型计算的。我们检查我们的方法的鲁棒性，通过确认我们的地震模型在声速，密度和熵代理反演以及低度压力模式的频率分离比方面的良好协议。我们的方法使我们能够确定一个很好的精度勒杜判别配置文件的太阳和计算完整的配置文件这个数量。我们的模型与地震数据的声速，密度和熵代理，以及所观察到的频率分离比的约0.1%的协议。它们超越了所有标准和非标准的进化模型，包括旨在再现日震约束的临时变化。所获得的地震Ledoux判别剖面以及从我们的程序中获得的一致结构为重新尝试限制太阳能建模问题和通过摆脱进化模型的假设而在太阳内部作用的缺失物理过程铺平了道路。
英文摘要：
The Sun constitutes an excellent laboratory of fundamental physics. With the advent of helioseismology, we were able to probe its internal layers with unprecedented precision. However, the current state of solar modelling is still stained by tedious issues. One of these problems is related to the disagreement between models computed with recent photospheric abundances and helioseismic constraints. We use solar evolutionary models as initial conditions for reintegrations of their structure using Ledoux discriminant inversions. The resulting models are defined as seismic solar models, satisfying the equations of hydrostatic equilibrium. They will allow us to better constrain the internal structure of the Sun and provide complementary information to that of evolutionary models. These seismic models were computed using various reference models with different equations of state, abundances and opacity tables. We check the robustness of our approach by confirming the good agreement of our seismic models in terms of sound speed, density and entropy proxy inversions as well as frequency-separation ratios of low-degree pressure modes. Our method allows us to determine with an excellent accuracy the Ledoux discriminant profile of the Sun and compute full profiles of this quantity. Our models show an agreement with seismic data of ~0.1% in sound speed, density and entropy proxy as well as with the observed frequency-separation ratios. They surpass all standard and non-standard evolutionary models including ad-hoc changes aiming at reproducing helioseismic constraints. The obtained seismic Ledoux discriminant profile as well as the consistent structure obtained from our procedure paves the way for renewed attempts at constraining the solar modelling problem and the missing physical processes acting in the solar interior by breaking free from the hypotheses of evolutionary models.
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