Abstract
A nonlinear 4-dimensional drift island theory derived in (Imada et al 2019 Nucl. Fusion 59 046016 and references therein) provides qualitative predictions of the plasma response to a stationary neoclassical tearing mode (NTM) magnetic island in a low beta, large aspect ratio tokamak plasma. (Dudkovskaia et al 2021 Plasma Phys. Control. Fusion 63 054001) refines a model for the magnetic drift frequency and exploits the limit of rare collisions, reducing this theory to 3-dimensional and thus providing a more accurate treatment of the trapped-passing boundary layer. The drift island theory is further improved in (Dudkovskaia et al 2023 Nucl. Fusion 63 016020) by introducing plasma shaping and finite beta effects. In the present paper, an improved model is adopted to resolve the drift island separatrix boundary layer, allowing one to investigate the polarisation current contribution that exists around the magnetic island separatrix, including in the presence of the background electric field. In particular, different magnetic topologies from both sides of the separatrix generate a radial discontinuity in the distribution function gradient there, when collisions are neglected. Allowing for collisional dissipation in the leading order distribution function around the separatrix resolves this discontinuity, smoothing the density distribution. The overall effect of the polarisation current on the NTM threshold is then combined from the outer contributions that exist outside the layer, as well as the separatrix layer piece, and self-consistently accounts for the electrostatic potential reconstructed from plasma quasi-neutrality. The corresponding NTM threshold is quantified and compared with previous predictions of (Dudkovskaia et al 2021 Plasma Phys. Control. Fusion 63 054001, Dudkovskaia et al 2023 Nucl. Fusion 63 016020).
Original language | English |
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Article number | 126040 |
Journal | Nuclear Fusion |
Volume | 63 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2023 |
Funding
This work has been carried out within the framework of the EUROfusion Consortium, funded by the European Union via the Euratom Research and Training Programme (Grant Agreement No 101052200 — EUROfusion). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the European Commission can be held responsible for them. This work has been part-funded by the EPSRC Energy Programme [grant number EP/W006839/1]. To obtain further information on the data and models underlying this paper please contact: [email protected] . The KSTAR equilibrium reconstruction is based on the work supported by R&D Programs of ‘KSTAR Experimental Collaboration and Fusion Plasma Research (EN2301-14)’ through Korea Institute of Fusion Energy (KFE) funded by the Government funds.
Funders | Funder number |
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KSTAR Experimental Collaboration and Fusion Plasma Research | EN2301-14 |
Korea Institute of Fusion Energy | |
Engineering and Physical Sciences Research Council | EP/W006839/1 |
European Commission | 101052200 — EUROfusion |
Keywords
- NTM threshold
- drift island separatrix
- drift kinetic theory
- magnetic island
- neoclassical tearing mode
- polarisation current
- tokamak plasma