旋转流体中的共振潮汐响应：隐藏在局域波束下的全局模式
Resonant tidal responses in rotating fluid bodies: global modes hidden beneath localized wave beams
摘要：
在旋转恒星和行星中，对流包层中惯性波的激发为潮汐耗散提供了一个重要的通道，但由于惯性波的耗散率不稳定地依赖于潮汐频率。潮汐耗散在某些频率下显著增强，表明潮汐强迫与某些本征模之间可能存在共振。然而，由于惯性波本征值问题的奇异性，这些共振的性质仍然是个谜，在文献中，共振常常被错误地归因于波吸引子。在这封信中，我们揭示了共振潮汐响应对应于惯性模式与大规模的流动隐藏在本地化的波束。强耦合的潮汐强迫和隐藏的大规模流动加强了本地化的波束从临界纬度，导致增强潮汐耗散。这项研究解决了一个长期存在的难题，关于潮汐耗散的频率依赖性，由于惯性波在对流信封。
英文摘要：
In rotating stars and planets, excitation of inertial waves in convective envelopes provides an important channel for tidal dissipation, but the dissipation rate due to inertial waves depends erratically on the tidal frequency. Tidal dissipation is significantly enhanced at some frequencies, suggesting possible resonances between the tidal forcing and some eigenmodes. However, the nature of these resonances remains enigmatic owing to the singularity of the eigenvalue problem of inertial waves, and the resonances are often mistakenly attributed to wave attractors in the literature. In this letter, we reveal that resonant tidal responses correspond to inertial modes with large-scale flows hidden beneath localized wave beams. Strong couplings between the tidal forcing and the hidden large-scale flows intensify the localized wave beams emanating from the critical latitudes, leading to enhanced tidal dissipation. This study resolves a long-standing puzzle regarding the frequency-dependence of tidal dissipation due to inertial waves in convective envelopes.
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