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arXiv 0912.4401astro-ph.SR
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roAp恒星HD 24712 II大气层中的脉动。理论模型

Pulsations in the atmosphere of the roAp star HD 24712 II. Theoretical models

Hideyuki Saio, Tanya Ryabchikova, Mikhail Sachkov

摘要:

我们讨论的脉动的快速振荡Ap(roAp)星HD 24712(HR 1217)的基础上考虑到偶极磁场的影响的非绝热分析。我们已经发现,所有适用于HD 24712的脉动模式都是阻尼的;即,氢电离层中的κ机制激发不足以激发周期与观察到的周期一致的高阶p模式,所有这些都被发现高于我们模型的声学截止频率。主频率(2.721 mHz)和最高频率(2.806 mHz)分别与修改的$l=2$和$l=3$模式匹配。大频率分离($\approx 68 μ$ Hz)由位于HR图上HD 24712误差框内的模型再现。HD 24712的频率间隔几乎相等,表明小频率间隔小到$\approx 0.5μ$ Hz。然而,从理论$l=1$和2模式导出的小分离被发现大于$\sim 3μ$ Hz。相等间距的问题可以通过假设间距对应于成对的$l=2$和$l=0$模式来解决。恒星表面的振幅分布强烈地受到磁场的影响,导致在极区的优势浓度。不同谱线径向速度变化的振幅和相位被转换成振幅/相位与大气光学厚度的关系。振荡相位在最外层逐渐向外延迟,表明存在向外传播的波。相位在$\logτ\sim-3.5$附近急剧变化,这支持在那里具有小的温度反转的$T-τ$关系。

英文摘要:

We discuss pulsations of the rapidly oscillating Ap (roAp) star HD 24712 (HR 1217) based on nonadiabatic analyses taking into account the effect of dipole magnetic fields. We have found that all the pulsation modes appropriate for HD 24712 are damped; i.e., the kappa-mechanism excitation in the hydrogen ionization layers is not strong enough to excite high-order p-modes with periods consistent with observed ones, all of which are found to be above the acoustic cut-off frequencies of our models. The main (2.721 mHz) and the highest (2.806 mHz) frequencies are matched with modified $l=2$ and $l=3$ modes, respectively. The large frequency separation ($\approx 68 μ$Hz) is reproduced by models which lay within the error box of HD 24712 on the HR diagram. The nearly equally spaced frequencies of HD 24712 indicate the small frequency separation to be as small as $\approx 0.5μ$Hz. However, the small separation derived from theoretical $l=1$ and 2 modes are found to be larger than $\sim 3μ$Hz. The problem of equal spacings could be resolved by assuming that the spacings correspond to pairs of $l=2$ and $l=0$ modes. The amplitude distribution on the stellar surface is strongly affected by the magnetic field resulting in the predominant concentration at the polar regions. Amplitudes and phases of radial-velocity variations for various spectral lines are converted to relations of amplitude/phase versus optical depth in the atmosphere. Oscillation phase delays gradually outward in the outermost layers indicating the presence of waves propagating outward. The phase changes steeply around $\logτ\sim-3.5$, which supports a $T-τ$ relation having a small temperature inversion there.

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