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Nonlinear behaviour of resistive drift-Alfvén instabilities in a magnetized cylindrical plasma

Naoaki Miyato, Satoshi Hamaguchi, Masahiro Wakatani2002年Plasma Physics and Controlled FusionIF 2.2出版社

Nonlinear behaviour of resistive drift-Alfvén mode is described by a three-field model composed of vorticity equation, Ohm's law and continuity equation. Resistive drift-Alfvén instabilities occur in the cylindrical plasma where both resistivity and plasma β value are finite. The resistive drift-Alfvén instabilities assuming single helicity generate poloidal sheared flow via the Reynolds stress by nonlinear mode couplings. The poloidal sheared flow stabilizes several unstable modes including the most unstable mode and leads to saturation of the nonlinear resistive drift-Alfvén modes. It is noted that some harmonics are destabilized by this flow. The level of magnetic fluctuations is much smaller than that due to density and electrostatic potential fluctuations. Particle flux due to the magnetic fluctuations is also extremely small compared to that due to electrostatic fluctuations. However, it is shown that the effect of magnetic fluctuations on the poloidal flow is significant. The magnetic fluctuations play a role of suppressing the poloidal flow drive by convective nonlinearity.

日本語訳

抵抗性ドリフト・アルフヴェン・モードの非線形挙動は、渦度方程式、オームの法則、連続の式から構成される3場モデルによって記述される。抵抗性ドリフト・アルフヴェン不安定性は、抵抗率とプラズマベータ値の両方が有限である円柱プラズマにおいて発生する。単一ヘリシティを仮定した抵抗性ドリフト・アルフヴェン不安定性は、非線形モード結合によるレイノルズ応力を介してポロイダル剪断流を生成する。ポロイダル剪断流は、最も不安定なモードを含むいくつかの不安定モードを安定化し、非線形抵抗性ドリフト・アルフヴェン・モードの飽和をもたらす。この流れによっていくつかの高調波が不安定化されることが指摘される。磁気揺動のレベルは、密度揺動および静電ポテンシャル揺動によるものよりもはるかに小さい。磁気揺動による粒子フラックスも、静電揺動によるものと比較して極めて小さい。しかしながら、ポロイダル流に対する磁気揺動の影響は重要であることが示される。磁気揺動は、対流非線形性によるポロイダル流の駆動を抑制する役割を果たす。

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