The classic Eliassen-Palm (E-P) flux in the geophysical fluid dynamics is a vector to qualify the eddy momentum and heat flux transport by Rossby waves in the latitude-height plane. In this investigation, we derive two magnetic E-P fluxes to quantify the eddy energy transport by magnetic Rossby waves by using magnetohydrodynamic quasi-geostrophic theory. The first extends the classic E-P relation; the second arises from the magnetic and motion coupling. In wave-like dynamics, the cross-component flux vanishes, allowing the first flux to fully describe energy propagation. We further show magnetic Rossby waves can grow where Rossby waves cannot. When they develop, the increasing perturbation energy is fed by the zonal flow through Reynolds and Maxwell stresses transport. Our findings, bridging the geophysical fluid dynamics and magnetohydrodynamics, advance understanding of large-scale dynamics in magnetized environments and enhance predictions of planetary magnetic field evolution, space weather, and solar dynamics.

中文翻译：

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磁流体动力学准地转扰动的涡流输运


地球物理流体动力学中的经典 Eliassen-Palm （E-P） 通量是限定 Rossby 波在纬度-高度平面上的涡动量和热通量传输的矢量。在这项研究中，我们推导出了两个磁性 E-P 磁通量，以使用磁流体动力学准地转理论来量化磁 Rossby 波的涡流能量传输。第一个扩展了经典的 E-P 关系;第二个源于磁和运动耦合。在波状动力学中，跨分量磁通量消失，使第一个磁通量能够完全描述能量传播。我们进一步表明，磁性 Rossby 波可以在 Rossby 波不能的地方生长。当它们发展时，增加的扰动能由通过雷诺和麦克斯韦应力传递的纬向流提供。我们的研究结果将地球物理流体动力学和磁流体动力学联系起来，促进了对磁化环境中大尺度动力学的理解，并增强了对行星磁场演变、空间天气和太阳动力学的预测。