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Nonlinear dynamics in forced reconnection

J Rem, T J Schep1998年Plasma Physics and Controlled FusionIF 2.2出版社

Forced reconnection in a current-carrying two-dimensional resistive magneto-fluid is explored in a slab geometry. The time development of the two-dimensional processes that occur is studied numerically. Perturbation of the wall during a few Alfvén times generate ideal megnetohydrodynamics (MHD) waves that propagate towards the neutral layer and generate a current layer along it. The formation of the current sheet near the X point and the vortex motion inside the island are analysed in the nonlinear regime. In this phase the current in the X point of the generated island grows exponentially with time while it is still governed by ideal MHD. After having reached a maximum the current decreases sharply. This maximum and the subsequent decrease are determined by resistivity and the narrowing of the local current profile, which is an ideal effect. The current distribution becomes that of a sheet current, especially for low values of the resistivity. Eventually a quasi-stationary state is reached in which current and vorticity are localized along the separatrix.

日本語訳

電流を伴う二次元抵抗性磁気流体における強制リコネクションを、スラブ幾何学において調べた。発生する二次元過程の時間発展を数値的に研究した。数回のアルヴェン時間にわたる摂動により、理想磁気流体力学(MHD)波が発生し、それが中性層に向かって伝播して、その層に沿って電流層を生成する。非線形領域におけるX点近傍での電流シートの形成と、アイランド内部での渦運動を解析した。この段階では、生成されたアイランドのX点における電流は、依然として理想MHDによって支配されながら、時間とともに指数関数的に増大する。最大値に達した後、電流は急激に減少する。この最大値とその後の減少は、抵抗率と、局所電流分布の狭窄によって決定され、これは理想的な効果である。電流分布は、特に抵抗率が低い場合には、シート電流の分布となる。最終的には、電流と渦度がセパラトリクスに沿って局在化した準定常状態に達する。

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Magnetic reconnection
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