Extended spectral scaling laws for shear-Alfvén wave turbulence
Extended spectral scaling laws for shear-Alfvén wave turbulence
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DOI：
10.1063/1.2399466
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发表时间：
2006-11
影响因子：
2.2
通讯作者：
S. Galtier;B. Chandran
中科院分区：
文献类型：
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作者：
S. Galtier;B. Chandran
本文研究了弱不可压磁流体力学（MHD）湍流中三个剪切Alfven波之间的共振相互作用，忽略了包含伪Alfven波的相互作用。结果发现，这些相互作用导致一个波动力学方程，具有相同的紧凑形式的完全非线性MHD系统的高度各向异性的限制（k <$$> k <$）。这些结果具有重要的意义，解释整个k空间的剪切阿尔芬波之间的共振三波相互作用的影响。特别地，它表明只涉及剪切阿尔芬波的共振三波相互作用试图建立一个k nsf（k）的三维剪切阿尔芬波谱（−4<ns<−2，f是取决于初始条件的任意函数）。结果还提供了一个框架，估计的时间尺度上的三个剪切阿尔芬波相互作用的能量转移到更大的k到处在k-k平面。结果与先前预测的兼容性以及可能的...
In this paper, resonant interactions among three shear-Alfven waves is investigated in weak incompressible magnetohydrodynamics (MHD) turbulence, neglecting interactions involving the pseudo-Alfven waves. It is found that these interactions lead to a wave kinetic equation that has the same compact form as the full nonlinear MHD system in the highly anisotropic limit (k⊥⪢k‖). These results have important implications for interpreting the effects of resonant three-wave interactions among shear-Alfven waves throughout k space. In particular, it shows that resonant three-wave interactions involving only shear-Alfven waves attempt to set up a k⊥nsf(k‖) 3D shear-Alfven-wave spectrum (with −4<ns<−2, and f an arbitrary function depending on the initial conditions). The results also provide a framework for estimating the time scale on which the three shear-Alfven-wave interactions transfer energy to larger k⊥ everywhere in the k⊥-k‖ plane. The compatibility of the results with previous predictions and the possible...