Abstract

The article presents a mathematical model of an equilibrium magnetoplasma configuration in a plasma cylinder containing on its axis a conductor of finite diameter with a current creating a magnetic field confining the plasma. The annular configurations considered here are the simplest elements of a wide class of galatea traps with conductors immersed in the plasma volume. The problems concerning such configurations have a simple analytical solution in terms of ordinary differential equations. A simple result on the existence of smooth equilibrium configurations with restrictions on the maximum plasma pressure related to magnetic units is obtained. The problems of the stability of the configurations—full-scale MHD stability and intermediate stability to perturbations of the same dimension—are formulated and solved. It is shown that intermediate stability takes place within a specified restrictions on pressure and MHD stability tightens this restrictions due to corrugated perturbations depending on the axial coordinate.

中文翻译：

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关于直流导体附近等离子体平衡的稳定性

摘要

这篇文章提出了一个等离子圆柱体中的平衡磁等离子体构型的数学模型，该圆柱体在其轴上包含一个有限直径的导体，并通过电流产生了一个限制等离子体的磁场。这里考虑的环形配置是种类繁多的galatea阱中最简单的元素，导体浸没在血浆中。根据常微分方程，关于这种配置的问题具有简单的解析解。获得关于存在平稳平衡结构的简单结果，该平稳平衡结构受到与磁性单元有关的最大等离子体压力的限制。提出并解决了配置稳定性的问题-完整的MHD稳定性和对相同尺寸摄动的中间稳定性。