论文标题

3DAlfvén-Wave包装碰撞中的动荡制度

Turbulent regimes in collisions of 3D Alfvén-wave packets

论文作者

Cerri, Silvio Sergio, Passot, Thierry, Laveder, Dimitri, Sulem, Pierre-Louis, Kunz, Matthew W.

论文摘要

使用3D陀螺素模拟,我们将Alfven-Wave(AW)碰撞的问题重新审视为Alfgenic Cascade的构件,并在磁性水力动力学(MHD)尺度上与磁重新连接相互作用。根据大规模的非线性参数$χ_0$(AW线性传播时间和非线性周转时间之间的比率),观察到不同的范围。对于强烈的非线性($χ_0\ sim1 $),湍流与动态排列的,至关重要的平衡的cascade- fluctusivations表现出相关的比对$ \sinθ_k\sinθ_k\ propto k_ \ propto k_ \ perp k_ \ perp^{ - 1/4} $ k_ \ perp^{1/2} $光谱各向异性。在较弱的非线性(小$χ_0$)的情况下,光谱中断标志着大规模弱制度与小规模的$ k_ \ perp^{ - 11/5} $撕裂 - 介导的范围的过渡,这意味着对于弱非线性而言,动态比对也会发生。在$χ_0<1 $ the对准角$θ_{k_ \ perp} $显示的比例依赖性比$χ_0\ sim1 $ ymime,即k_ \ perp^{ - 1} $ at $χ_0\ sim0.1 $。弱制度中的动态对齐也可以修改大规模频谱,大致比例为$ k_ \ perp^{ - 3/2} $,对于$χ_0\ sim0.5 $,为$ k_ \ perp^{ - 1} $,对于$χ_0\ sim0.1 $。在弱非线性上动态排列的湍流的现象学理论可以解释这些光谱并提供向泪液介导的状态的过渡;在小$χ_0$时,对齐角的强尺度依赖性与湍流涡流的寿命增加相结合,以使撕裂发作并以尺度上的尺度介导级联反应,而级联则可以大于预测的级数,以通过几个数量级来预测的级数。这种向撕裂介导的湍流的过渡甚至可以取代通常的弱到紧身的过渡。

Using 3D gyrofluid simulations, we revisit the problem of Alfven-wave (AW) collisions as building blocks of the Alfvenic cascade and their interplay with magnetic reconnection at magnetohydrodynamic (MHD) scales. Depending on the large-scale nonlinearity parameter $χ_0$ (the ratio between AW linear propagation time and nonlinear turnover time), different regimes are observed. For strong nonlinearities ($χ_0\sim1$), turbulence is consistent with a dynamically aligned, critically balanced cascade--fluctuations exhibit a scale-dependent alignment $\sinθ_k\propto k_\perp^{-1/4}$, a $k_\perp^{-3/2}$ spectrum and $k_\|\propto k_\perp^{1/2}$ spectral anisotropy. At weaker nonlinearities (small $χ_0$), a spectral break marking the transition between a large-scale weak regime and a small-scale $k_\perp^{-11/5}$ tearing-mediated range emerges, implying that dynamic alignment occurs also for weak nonlinearities. At $χ_0<1$ the alignment angle $θ_{k_\perp}$ shows a stronger scale dependence than in the $χ_0\sim1$ regime, i.e. $\sinθ_k\propto k_\perp^{-1/2}$ at $χ_0\sim0.5$, and $\sinθ_k\propto k_\perp^{-1}$ at $χ_0\sim0.1$. Dynamic alignment in the weak regime also modifies the large-scale spectrum, scaling roughly as $k_\perp^{-3/2}$ for $χ_0\sim0.5$ and as $k_\perp^{-1}$ for $χ_0\sim0.1$. A phenomenological theory of dynamically aligned turbulence at weak nonlinearities that can explain these spectra and the transition to the tearing-mediated regime is provided; at small $χ_0$, the strong scale dependence of the alignment angle combines with the increased lifetime of turbulent eddies to allow tearing to onset and mediate the cascade at scales that can be larger than those predicted for a critically balanced cascade by several orders of magnitude. Such a transition to tearing-mediated turbulence may even supplant the usual weak-to-strong transition.

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