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arXiv 1909.11352physics.plasm-ph
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无滑移条件下等离子体对外部磁场扰动响应的解析模型

Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition

Wenlong Huang, Ping Zhu

摘要:

最近的模拟和实验结果表明,磁岛和流动的谐振表面往往不满足“无滑移”的条件下,在稳态。提出了一个新的无滑移条件下非线性等离子体对外磁场扰动响应的理论模型。该模型由外磁场扰动驱动的强制重联引起的磁岛宽度和相位的演化方程和等离子体流的力平衡方程组成。当岛的宽度远小于电阻层的宽度时,岛的生长是由线性的Hamm-Kulsrud-Taylor解决方案存在的时间相关的等离子体流。在另一种情况下,当岛宽度远大于电阻层宽度时,岛宽度和相位的演变可以使用卢瑟福理论来描述。岛的解决方案是用来构建准线性电磁力,它与粘性之一,有助于在等离子体流的非线性变化。在传统的误差场论中假设的无滑移条件在这里不被强加,其中岛振荡频率取决于但不一定等于在有理表面处的等离子体流频率。

英文摘要:

Recent simulation and experimental results suggest that the magnetic island and flow on resonant surface often do not satisfy the "no-slip" condition in the steady state. A new theory model on nonlinear plasma response to external magnetic perturbation in absence of no-slip condition is proposed. The model is composed of the equations for the evolution of both width and phase of magnetic island due to forced reconnection driven by the external magnetic perturbation, and the force-balance equation for the plasma flow. When the island width is much less than the resistive layer width, the island growth is governed by the linear Hahm-Kulsrud-Taylor solution in presence of time-dependent plasma flow. In the other regime when the island width is much larger than the resistive layer width, the evolution of both island width and phase can be described using the Rutherford theory. The island solution is used to construct the quasi-linear electromagnetic force, which together with viscous one, contributes to the nonlinear variation in plasma flow. The no-slip condition assumed in the conventional error field theory is not imposed here, where the island oscillation frequency depends on but does not necessarily equal to the plasma flow frequency at the rational surface.

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