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arXiv 1901.02518physics.plasm-phphysics.ao-ph
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非均匀漂移波turbulence的非线性波动方程

Wave kinetic equation for inhomogeneous drift-wave turbulence beyond the quasilinear approximation

D. E. Ruiz, M. E. Glinsky, I. Y. Dodin

摘要:

从非均匀漂移波(DW)湍流的带状流的形成,经常使用准线性近似内导出的统计理论来描述。然而,这种近似忽略了波-波碰撞。因此,一些重要的影响,如Batchelor-Kraichnan逆能量级联没有捕获在这种方法。在这里,我们推导出一个波的动力学方程,其中包括DW碰撞运营商在纬向流的存在。我们的推导利用外尔演算,拟正态统计封闭,和几何光学近似。所得到的模型保持了系统的总涡度拟能和能量。导出的DW碰撞算子在Rayleigh-Kuo阈值处失效。这个阈值是错过了湍流理论,但预计从全波准线性分析。在未来,这个理论可能有助于更好地理解漂移波和纬向流之间的相互作用,包括文献中常用的准线性近似的有效域。

英文摘要:

The formation of zonal flows from inhomogeneous drift-wave (DW) turbulence is often described using statistical theories derived within the quasilinear approximation. However, this approximation neglects wave--wave collisions. Hence, some important effects such as the Batchelor--Kraichnan inverse-energy cascade are not captured within this approach. Here we derive a wave kinetic equation that includes a DW collision operator in the presence of zonal flows. Our derivation makes use of the Weyl calculus, the quasinormal statistical closure, and the geometrical-optics approximation. The obtained model conserves both the total enstrophy and energy of the system. The derived DW collision operator breaks down at the Rayleigh--Kuo threshold. This threshold is missed by homogeneous-turbulence theory but expected from a full-wave quasilinear analysis. In the future, this theory might help better understand the interactions between drift waves and zonal flows, including the validity domain of the quasilinear approximation that is commonly used in literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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