方位磁场作用下开普勒盘中MRI- turbulence的非线性横向级联和维持
Nonlinear transverse cascade and sustenance of MRI-turbulence in Keplerian disks with an azimuthal magnetic field
摘要：
利用剪切盒模拟方法研究了具有非零净方位磁场的开普勒圆盘中由磁旋转不稳定性（MRI）驱动的磁流体动力学湍流。不同于以往的研究，我们分析湍流动力学傅立叶（${\bf k}$ -）空间，以了解其支持。磁共振成像的线性增长具有瞬态特性，在傅立叶空间中是各向异性的，从而导致非线性过程在傅立叶空间中的各向异性。其结果是，主要的非线性过程似乎是一种新型的角度重新分布模式在傅立叶空间-的\emph{nonlinear transverse cascade} -而不是通常的直接/逆级联。我们表明，湍流是持续的相互作用的线性瞬态增长的MRI（这是唯一的能量供应的湍流）和横向级联。这两个过程在大的长度尺度上运行，相当于盒子大小，相应的小波数区域，在傅立叶空间中称为\emph{vital area}，对于维持至关重要，而在重要区域之外，直接级联占主导地位。傅立叶空间中的线性和非线性过程的相互作用通常过于交织，无法生动地图示。尽管如此，我们揭示了\emph{basic subcycle}的支持，清楚地表明这些过程的协同作用，在磁化流系统的自组织。这种协同作用是相当稳健的，并且对于所考虑的模拟盒的不同纵横比持续存在。这些盒子中的动力学过程的光谱特征是定性相似的，表明MRI湍流的维持机制的普遍性。
英文摘要：
We investigate magnetohydrodynamic turbulence driven by the magnetorotational instability (MRI) in Keplerian disks with a nonzero net azimuthal magnetic field using shearing box simulations. As distinct from most previous studies, we analyze turbulence dynamics in Fourier (${\bf k}$-) space to understand its sustenance. The linear growth of MRI with azimuthal field has a transient character and is anisotropic in Fourier space, leading to anisotropy of nonlinear processes in Fourier space. As a result, the main nonlinear process appears to be a new type of angular redistribution of modes in Fourier space -- the \emph{nonlinear transverse cascade} -- rather than usual direct/inverse cascade. We demonstrate that the turbulence is sustained by interplay of the linear transient growth of MRI (which is the only energy supply for the turbulence) and the transverse cascade. These two processes operate at large length scales, comparable to box size and the corresponding small wavenumber area, called \emph{vital area} in Fourier space is crucial for the sustenance, while outside the vital area direct cascade dominates. The interplay of the linear and nonlinear processes in Fourier space is generally too intertwined for a vivid schematization. Nevertheless, we reveal the \emph{basic subcycle} of the sustenance that clearly shows synergy of these processes in the self-organization of the magnetized flow system. This synergy is quite robust and persists for the considered different aspect ratios of the simulation boxes. The spectral characteristics of the dynamical processes in these boxes are qualitatively similar, indicating the universality of the sustenance mechanism of the MRI-turbulence.
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