强不平衡Turbulence
Strong Imbalanced Turbulence
摘要：
我们考虑静止的，强迫的，不平衡的，或交叉螺旋的MHD Alfvenic湍流，其中在一个方向上行进的波比相反的波具有更高的振幅。本文致力于所谓的强湍流，这不能被微扰处理。我们的主要结果是弱波的各向异性比强波的各向异性强。我们建议，临界平衡，这是最初设想为因果关系的论点，必须修改我们所谓的传播参数。这种修改后的临界平衡公式能够处理不平衡情况，并在平衡情况下简化为旧公式。我们还提供了能量级联的唯象模型，并讨论了在驱动湍流的现实设置的自相似解决方案的可能性。
英文摘要：
We consider stationary, forced, imbalanced, or cross-helical MHD Alfvenic turbulence where the waves traveling in one direction have higher amplitudes than the opposite waves. This paper is dedicated to so-called strong turbulence, which cannot be treated perturbatively. Our main result is that the anisotropy of the weak waves is stronger than the anisotropy of a strong waves. We propose that critical balance, which was originally conceived as a causality argument, has to be amended by what we call a propagation argument. This revised formulation of critical balance is able to handle the imbalanced case and reduces to old formulation in the balanced case. We also provide phenomenological model of energy cascading and discuss possibility of self-similar solutions in a realistic setup of driven turbulence.
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