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Title: Parametric dependencies of resonant layer responses across linear, two-fluid, drift-MHD regimes
Contributors: Park, Jong-Kyu
Park, Jong-Kyu
U. S. Department of Energy contract number DE-AC02-09CH11466
Keywords: MHD instability
Issue Date: 26-Jul-2022
Publisher: Princeton Plasma Physics Laboratory, Princeton University
Citation: Jong-Kyu Park, 2022, Dataset for accepted paper, Princeton Plasma Physics Laboratory
Related Publication: Physics of Plasmas 29, 072506 (2022)
Abstract: Non-axisymmetric magnetic fields arising in a tokamak either by external or internal perturbations can induce complex non-ideal MHD responses in their resonant surfaces while remaining ideally evolved elsewhere. This layer response can be characterized in a linear regime by a single parameter called the inner-layer Delta, which enables outer-layer matching and the prediction of torque balance to non-linear island regimes. Here, we follow strictly one of the most comprehensive analytic treatments including two-fluid and drift MHD effects and keep the fidelity of the formulation by incorporating the numerical method based on the Riccati transformation when quantifying the inner-layer Delta. The proposed scheme reproduces not only the predicted responses in essentially all asymptotic regimes but also with continuous transitions as well as improved accuracies. In particular, the Delta variations across the inertial regimes with viscous or semi-collisional effects have been further resolved, in comparison with additional analytic solutions. The results imply greater shielding of the electromagnetic torque at the layer than what would be expected by earlier work when the viscous or semi-collisional effects can compete against the inertial effects, and also due to the intermediate regulation by kinetic Alfven wave resonances as rotation slows down. These are important features that can alter the nonaxisymmetric plasma responses including the field penetration by external fields or island seeding process in rotating tokamak plasmas.
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