磁流体力学中扩散磁通量的物质壁垒
Material Barriers to the Diffusive Magnetic Flux in Magnetohydrodynamics
AI总结：
本文将主动物质壁垒理论从 Navier-Stokes 流动扩展至磁流体力学（MHD）流动，提出一种算法以自动定位二维和三维湍流 MHD 流动中阻碍磁场扩散输运的无参考系依赖壁垒。
摘要：
近期研究已识别出客观（无参考系依赖的）物质壁垒，这些壁垒能阻碍 Navier-Stokes 流动中动态主动矢量量（如线动量、角动量和涡度）的输运。在磁流体力学（MHD）中存在类似情形：磁场矢量通过 Lorentz 力影响速度场的演化，因此是动态主动矢量场。在此，我们将主动物质壁垒理论从 Navier-Stokes 流动扩展至 MHD 流动，以定位二维和三维湍流 MHD 流动中磁场扩散输运的无参考系依赖壁垒。基于该方法，我们获得了一种能从 MHD 湍流数据中自动提取此类壁垒的算法。
英文摘要：
Recent work has identified objective (frame-indifferent) material barriers that inhibit the transport of dynamically active vectorial quantities (such as linear momentum, angular momentum and vorticity) in Navier-Stokes flows. In magnetohydrodynamics (MHD), a similar setting arises: the magnetic field vector impacts the evolution of the velocity field through the Lorentz force and hence is a dynamically active vector field. Here, we extend the theory of active material barriers from Navier-Stokes flows to MHD flows in order to locate frame-indifferent barriers to the diffusive transport of the magnetic field in turbulent two-dimensional and three-dimensional MHD flows. From this approach we obtain an algorithm for the automated extraction of such barriers from MHD turbulence data.
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