Final Technical Report Under SC0018278

Abstract

Work supported by the grant "Stability and Control of Burning Tokamak Plasmas with Resistive Walls" in the period Aug 2017 to Aug 2018 can be cast in three general categories: (1) linear tearing regimes and the effects on the response to error fields and resistive walls: (2) nonlinear tearing modes in the presence of error fields, with locking; and (3) energetic particle effects. In the first category, we have completed a study of tearing mode regimes with extended MHD effects, including parallel dynamics and toroidal effects, notably favorable average curvature. This work has been presented at the 2018 Sherwood Conference in Ref.[1]. This work has been published in the ArXiv in Ref.[2] and is being prepared for publication in Physics of Plasmas. A systematic study of shaping in a tokamak plasma with resistive tearing layers and a resistive wall has been presented in the Ph D dissertation[3] by Dov Rhodes, a student of Andrew Cole at Columbia University. John Finn was on Rhodes's Ph D committee, and was a co-author of a paper published in Physics of Plasmas on that work. A detailed study of nonlinear tearing modes in the presence of finite beta, favorable average curvature, and an error field has been nearly completed. In this study it was found that the response to an error field with real frequency a tearing layer agreed with analytic results, and that tearing mode saturation by flattening of the current profile as well as destabilization due to flattening of the pressure profile were important factors in the locking process. This work was presented at the 2017 APS/DPP Conference and at the 2018 Sherwood Conference. The effects of energetic ions on tearing modes was presented at the 2017 APS/DPP Conference and in the Ph D dissertation of Michael Halfmoon. John Finn served as a committee member on Halfmoon's Ph D committee. Extensions to this work including two-fluid effects were performed and presented at the APS/DPP Conference in 2017.