Effect of 3-D field perturbations on kinetic ballooning mode stability

Physics

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Applied resonant magnetic field perturbations can alter the plasma transport properties through three-dimensional modulations of plasma shaping parameters. This mechanism is viable even in the presence of shielding by plasma rotation. Using local 3-D equilibrium theory, shaped tokamak equilibria altered by small (δB/B0˜10-3-10-4) 3-D distortions can be constructed. The ideal MHD ballooning mode stability limit is lowered in the presence of the 3-D field relative to the axisymmetric case due to 3-D modulations of the local magnetic shear [1]. In particular, Pfirsch-Schl"uter currents driven by 3-D distortions of the geodesic curvature are produced that alter the local magnetic shear. These currents become large as the field pitch of the magnetic field line approaches a rational value. Since ideal MHD ballooning stability calculations are sometimes used as a proxy for kinetic ballooning mode onset, these calculations suggest 3-D flux surface distortion of sufficient magnitude can affect anomalous transport. In this work, analysis of the kinetic ballooning eigenmode equation is performed that accounts for the role of the 3-D equilibrium distortion.[4pt] [1] T. M. Bird and C. C. Hegna submitted to Phys. Rev. Lett. (2012).

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