The magnetic field is a significant and universal physical phenomenon in modern astrophysics. Small-scale magnetic fields are very important in the stellar atmosphere. They are ubiquitous and strongly couple with acoustic waves. Therefore, their presence affects the properties of acoustic waves in the stellar outer layer. In the present work, under the assumption that small-scale magnetic features are the cause of the asteroseismic surface term (the frequency-dependent frequency offset between stars and their models), we explore the strength of such fields in the solar analog KIC 8006161. By considering the effect of small-scale magnetic fields in the stellar photosphere, we use the observed oscillation frequencies to constrain the inner structures and surface small-scale magnetic fields of solar-like star KIC 8006161. To agree with the existing observations, such as oscillation frequencies, and their frequency separation ratios, the theoretical model requires a small-scale magnetic field to form a magnetic-arch splicing layer in the stellar outer atmosphere. The small-scale magnetic field strengths for KIC 8006161 obtained from best-fit model with Yinit = 0.249 + 1.33 Zinit and Yinit as a free parameter are approximately 96 and 89 G, respectively. The corresponding locations of the magnetic-arch splicing layer are about 522 and 510 km, respectively.

中文翻译：

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使用星震学探索太阳能模拟 KIC 8006161 的小尺度磁场


磁场是现代天体物理学中一个重要而普遍的物理现象。小尺度磁场在恒星大气中非常重要。它们无处不在，并与声波强烈耦合。因此，它们的存在会影响恒星外层中声波的特性。在本工作中，假设小尺度磁特征是星震表面项（恒星与其模型之间的频率相关频率偏移）的原因，我们探索了太阳模拟 KIC 8006161中此类场的强度。通过考虑恒星光球层中小尺度磁场的影响，我们利用观测到的振荡频率来约束类太阳星 KIC 8006161的内部结构和表面小尺度磁场。为了与现有的观测结果（例如振荡频率及其频率分离比）保持一致，理论模型要求在恒星外层大气中形成小尺度磁场-拱形拼接层。8006161 Yinit = 0.249 + 1.33 Zinit 和 Yinit 作为自由参数的最佳拟合模型获得的 KIC 的小尺度磁场强度分别约为 96 和 89 G。磁拱拼接层的相应位置分别约为 522 公里和 510 公里。