旋转恒星中的热盐、Richardson、Rayleigh-Taylor、Solberg-Hoiland和GSF判据
The thermohaline, Richardson, Rayleigh-Taylor, Solberg-Hoiland, and GSF criteria in rotating stars
摘要：
目标。我们研究了旋转恒星中各种不稳定性的相互作用，这些不稳定性通常被认为是独立的。方法.分析研究的问题进行，帐户给出的辐射损失，μ梯度和水平湍流。结果不稳定性系综的扩散系数不是由每个不稳定性的特定系数之和给出，而是由一般方程的解给出。我们发现，热盐混合是可能的低质量红巨星，只有当水平湍流是非常弱的。在旋转恒星中，瑞利-泰勒不稳定性和剪切不稳定性需要同时处理。这导致了1/r ^（alpha）形式的转动定律被预言在alpha> 1.6568时是不稳定的，而通常的瑞利判据只预言在alpha> 2时不稳定。此外，剪切不稳定性在某种程度上减少主序星的瑞利-泰勒准则的效果。各种不稳定性准则在旋转恒星中的表达方式应不同于在简化几何中的表达方式。
英文摘要：
Aims. We examine the interactions of various instabilities in rotating stars, which usually are considered as independent. Methods. An analytical study of the problem is performed, account is given to radiative losses, mu-gradients and horizontal turbulence. Results. The diffusion coefficient for an ensemble of instabilities is not given by the sum of the specific coefficients for each instability, but by the solution of a general equation. We find that thermohaline mixing is possible in low-mass red giants only if the horizontal turbulence is very weak. In rotating stars the Rayleigh-Taylor and the shear instabilities need simultaneous treating. This has for consequence that rotation laws of the form 1/r^(alpha) are predicted to be unstable for alpha > 1.6568, while the usual Rayleigh criterion predicts instability only for alpha > 2. Also, the shear instabilities are somehow reduced in Main Sequence stars by the effect of the Rayleigh-Taylor criterion. Various instability criteria should be expressed differently in rotating stars than in simplified geometries.
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