General stability analysis of force-free magnetic fields. Part 1. General theory
General stability analysis of force-free magnetic fields. Part 1. General theory
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无力磁场的一般稳定性分析。
DOI：
10.1017/s0022377800019577
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发表时间：
1976
影响因子：
2.5
通讯作者：
J. Krüger
中科院分区：
文献类型：
--
作者：
J. Krüger
在MHD框架下，我们建立了一个简单的本征值问题，它能够处理不同几何条件下无力磁场旋度B = αB的稳定性。本文证明了，如果本征值α对应于与所考虑的几何相容的最小值，则被刚性壁包围的无力场是稳定的。我们将这一结果推广到α是位置函数的情形，并从一阶变分的观点重新讨论了这一结果.我们给出了各种定理和稳定性的标准，连续的，以及为容许的不连续或无限的位移。增长率的一般上限为，其中和和分别为等离子体体积中阿尔文速度的最大值和最大值。
We formulate, in the framework of MHD, a simple eigenvalue problem, capable of treating the stability of force-free magnetic fields curl B = αB in different geometries. We prove that a force-free field surrounded by a rigid wall is stable, if the eigenvalue α corresponds to the lowest value of compatible with the geometry considered. We extend this result to the case where α is a function of position; and we recliscuss it from the viewpoint of the first-order variation. We give various theorems and criteria for stability, for continuous as well as for admissible discontinuous or infinite displacements. A general upper limit for the growth rate is , where and and are respectively the maximum values of and υAthe Alfvén velocity inthe plasma volume.