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Curvature of Radial Electric Field Aggravates Edge Magnetohydrodynamics Mode in Toroidally Confined Plasmas
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https://doi.org/10.1103/physrevlett.125.255003Abstract
We show that the radial electric field (E_{r}) plays a dual role in edge magnetohydrodynamics (MHD) activity. While E_{r} shear (first spatial derivative of E_{r}) dephases radial velocity and displacement, and so is stabilizing, a new finding here is that E_{r} curvature (second spatial derivative of E_{r}) tends to synchronize the radial velocity and displacement, and so destabilizes MHD. As a highlighted result, we analytically demonstrate that E_{r} curvature can destabilize an otherwise stable kink mode, and so form a joint vortex-kink mode. The synergetic effects of E_{r} shear and E_{r} curvature in edge MHD extend the familiar E×B shearing paradigm. This theory thus explains the experimental findings that a deeper E×B well may aggravate edge MHD, and so trigger the formation of the edge harmonic oscillation. A simple criterion linking E_{r} structure and the edge MHD activity is derived.
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