Transport by gravito-inertial waves in differentially rotating stellar radiation zones. I - Theoreti
Transport by gravito-inertial waves in differentially rotating stellar radiation zones. I - Theoreti
复制标题
差分旋转恒星辐射区中重力惯性波的传输。
DOI：
10.1051/0004-6361/200810544
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发表时间：
2009
影响因子：
6.5
通讯作者：
S. Mathis
中科院分区：
文献类型：
--
作者：
S. Mathis
上下文我们研究动态的低频波差分旋转恒星辐射区，角速度被视为一般尽可能取决于半径和纬度在恒星内部。导出了在旋转恒星演化过程中起关键作用的角动量的诱导输运。目标。我们专注于波引起的角动量的传输，考虑到科里奥利加速度的情况下，强径向和纬向的差异旋转。因此，我们超越了“弱微分旋转”近似，旋转几乎是一个固体加上剩余的径向微分旋转。正如在以前的作品中所示，科里奥利加速度修改这样的运输。方法.我们建立了一个完整的解析形式主义，允许研究旋转运输恒星辐射区考虑到修改了一般的强差分旋转波的作用。结果不同的近似可能的低频波在差分旋转稳定分层辐射区域，即传统的和JWKB近似，进行了检查和讨论。完整的二维结构的规则椭圆重力惯性波，验证这些近似，推导出并比较那些在“弱微分旋转”的情况下。其次，得到了在垂直和水平方向上的能量和角动量的相关输运，以及平均径向和纬向差异旋转的动力学方程。结论.完整的形式主义，它考虑到低频波的作用，推导出并可用于长期的辐射区域的流体动力学和相关的混合的研究。由于一般的强微分旋转和他们的反馈上的角动量输运波的修改严格处理。在即将发表的论文（纸二），这种形式主义将适用于太阳差异旋转的情况下。然而，双曲重力惯性波的情况应仔细研究。
Context. We examine the dynamics of low-frequency waves in differentially rotating stellar radiation zones, the angular velocity being taken as generally as possible depending both on radius and on latitude in stellar interiors. The associated induced transport of angular momentum, which plays a key role in the evolution of rotating stars, is derived. Aims. We focus on the wave-induced transport of angular momentum, taking into account the Coriolis acceleration in the case of strong radial and latitudinal differential rotation. We thus go beyond the “weak differential rotation” approximation, where rotation is almost a solid-body one plus a residual radial differential rotation. As has been shown in previous works, the Coriolis acceleration modifies such transport. Methods. We built analytically a complete formalism that allows the study of rotational transport in stellar radiation zones taking into account the wave action modified by a general strong differential rotation. Results. The different approximations possible for low-frequency waves in a differentially rotating stably stratified radiative region, namely the traditional and the JWKB approximations, are examined and discussed. The complete bidimensional structure of regular elliptic gravito-inertial waves, which verify these approximations, is derived and compared to those in the “weak differential rotation” case. Next, associated transport of energy and of angular momentum in the vertical and in the horizontal directions and the dynamical equations, respectively for the mean radial differential rotation and the latitudinal one, are obtained. Conclusions. The complete formalism, which takes into account low-frequency wave action, is derived and can be used for the study of secular hydrodynamics of radiative regions and of the associated mixing. The modification of waves due to general strong differential rotation and their feed-back on the angular momentum transport are treated rigourously. In a forthcoming paper (Paper II), this formalism will be applied to the case of solar differential rotation. However, the case of hyperbolic gravito-inertial waves should be carefully studied.