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arXiv 1301.3196physics.plasm-ph
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预测快速无碰撞磁重联的非线性变分方法

Nonlinear variational method for predicting fast collisionless magnetic reconnection

M. Hirota, P. J. Morrison, Y. Ishii, M. Yagi, N. Aiba

摘要:

为了理解托卡马克放电中的磁塌缩,利用冷离子和电子的双流体模型研究了无碰撞等离子体中快速磁重联的机制。利用能量原理和非线性位移映射,对电子惯性引起的撕裂模的爆炸性增长进行了解析估计。在非线性制度(其中岛的宽度超过电子趋肤深度)的势能的减少被发现是陡峭的比在线性制度,导致加速重联。这种流体位移释放的势能导致不稳定的强对流,这是不阻尼的高温托卡马克等离子体中的小耗散效应。平板几何的直接数值模拟证实了非线性增长的理论预测。

英文摘要:

A mechanism for fast magnetic reconnection in collisionless plasma is studied for understanding sawtooth collapse in tokamak discharges by using a two-fluid model for cold ions and electrons. Explosive growth of the tearing mode enabled by electron inertia is analytically estimated by using an energy principle with a nonlinear displacement map. Decrease of the potential energy in the nonlinear regime (where the island width exceeds the electron skin depth) is found to be steeper than in the linear regime, resulting in accelerated reconnection. Release of potential energy by such a fluid displacement leads to unsteady and strong convective flow, which is not damped by the small dissipation effects in high-temperature tokamak plasmas. Direct numerical simulation in slab geometry substantiates the theoretical prediction of the nonlinear growth.

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