论文标题
恒星内部泰勒不稳定的全球模拟:磁场的长期多阶段演变
Global simulations of Tayler instability in stellar interiors: a long-time multi-stage evolution of the magnetic field
论文作者
论文摘要
在大型AP/BP恒星中已经观察到磁场,并且大概也存在于太阳能恒星的辐射区域中。然而,迄今为止,尚无清楚地了解稳定分层层中磁场的动力学。已知纯粹的环形磁场构型是不稳定的,主要发展为非轴对称模式。旋转和小的螺状场组件可能会导致稳定的配置。在这里,我们使用Eulag-MHD代码执行全局MHD模拟,以探索位于该层中类似于太阳tachocine的层中的环形磁场的演变。我们的数值实验使我们能够探索初始不稳定相以及磁场的长期演变。在第一个Alfven循环中,我们观察到泰勒不稳定性的发展,并以突出的纵向波数($ M = 1 $)观察到。旋转降低了不稳定性的生长速度,并最终抑制了它。但是,在稳定的阶段之后,即使是快速旋转,突然的能量激增也会导致高阶模式的发展。这些模式从初始环形场中提取能量。然而,我们的结果表明,足够快速的旋转导致不稳定模式的饱和能较低,导致磁性拓扑,只有一小部分的螺状场,这在数百个Alfven行进时间内保持稳定。在此阶段,系统变得湍流,场易于湍流扩散。磁场的最终环螺旋构型可能代表稳定分层层中田间产生的重要方面。
Magnetic fields have been observed in massive Ap/Bp stars and presumably are also present in the radiative zone of solar-like stars. Yet, to date there is no clear understanding of the dynamics of the magnetic field in stably stratified layers. A purely toroidal magnetic field configuration is known to be unstable, developing mainly non-axisymmetric modes. Rotation and a small poloidal field component may lead to a stable configuration. Here we perform global MHD simulations with the EULAG-MHD code to explore the evolution of a toroidal magnetic field located in a layer whose stratification resembles the solar tachocline. Our numerical experiments allow us to explore the initial unstable phase as well as the long-term evolution of the magnetic field. During the first Alfven cycles, we observe the development of the Tayler instability with the prominent longitudinal wavenumber, $m=1$. Rotation decreases the growth rate of the instability, and eventually suppresses it. However, after a stable phase, sudden energy surges lead to the development of higher order modes even for fast rotation. These modes extract energy from the initial toroidal field. Nevertheless, our results show that sufficiently fast rotation leads to a lower saturation energy of the unstable modes, resulting in a magnetic topology with only a small fraction of poloidal field which remains steady for several hundreds of Alfven travel times. At this stage, the system becomes turbulent and the field is prone to turbulent diffusion. The final toroidal-poloidal configuration of the magnetic field may represent an important aspect of the field generation and evolution in stably-stratified layers.