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Study of neoclassical tearing modes based on a reduced MHD model in cylindrical geometry

M. Sato, M. Wakatani2005年被引用 17Nuclear FusionIF 3出版社

Neoclassical tearing modes (NTMs) are examined with a reduced MHD model including the bootstrap current as a simple model, JBS ∝ − dP/dr, in cylindrical tokamaks. It is found that linear instabilities due to the perturbation of bootstrap current appear for large JBS cases with large parallel thermal diffusivity, χ∥, under small perpendicular thermal diffusivity, χ⊥, in the pressure evolution equation. Here, other dissipations such as resistivity and viscosity are also finite. Although the linear growth rate of this unstable mode is small, the growth of magnetic energy of this unstable mode is usually accelerated after the saturation of kinetic energy. Its nonlinear behaviour shown by the evolution of magnetic islands is consistent with the standard nonlinear NTM theory.

日本語訳

ネオクラシカル・ティアリングモード(NTM)を、円柱トカマクにおけるブートストラップ電流の摂動をJBS ∝ − dP/dr として含む簡約MHDモデルを用いて調べた。圧力発展方程式において、垂直熱拡散係数χ⊥が小さい場合に、平行熱拡散係数χ∥が大きい大きなJBSのケースでは、ブートストラップ電流の摂動による線形不安定性が現れることが見出された。ここで、抵抗率や粘性などの他の散逸も有限である。この不安定モードの線形成長率は小さいが、この不安定モードの磁気エネルギーの成長は、通常、運動エネルギーの飽和後に加速される。磁気島の時間発展によって示されるその非線形挙動は、標準的な非線形NTM理論と整合的である。

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MagnetohydrodynamicsTearing modeNeoclassical tearing mode
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