Sufficient stability criteria for plasma equilibria with tensor pressure

Sufficient stability criteria for plasma equilibria with tensor pressure
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DOI:
10.1063/1.1694632
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发表时间:
1974
期刊:
影响因子:
4.6
通讯作者:
G. Spies;D. B. Nelson
G. Spies;D. B. Nelson
中科院分区:
工程技术2区
文献类型:
--
作者:
G. Spies;D. B. Nelson

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充分的稳定性准则推导出这是有效的,在各种情况下的能量原则,即,张量或标量压力,无碰撞或碰撞动力学,环形或开放式几何形状,导电或绝缘壁,闭合或遍历磁场线。这些标准减少到众所周知的环形平衡与标量压力。它们接近于允许交换的低β平衡的必要标准。各种众所周知的有利特性(即,良好的曲率,磁阱,负曲率″,线结)通过考虑特殊类别的平衡来恢复。因为,在一般情况下,这些属性似乎都不是至关重要的,本标准是能够产生各种迄今为止未知的稳定限制平衡。
Sufficient stability criteria are derived which are valid in various situations for which an energy principle holds, i.e., tensor or scalar pressure, collisionless or collisional dynamics, toroidal or open‐ended geometry, conducting or insulating walls, closed or ergodic magnetic field lines. These criteria reduce to well known ones in toroidal equilibria with scalar pressure. They are close to necessary criteria in low beta equilibria allowing for interchanges. Various well known favorable properties (viz., good curvature, magnetic well, negative υ″, line‐tying) are recovered by considering special classes of equilibria. Since, in general, none of these properties appears to be crucial, the present criteria are capable of yielding a variety of hitherto unknown stably confined equilibria.