Stability of helically symmetric straight equilibria

M. Mond; H. Weitzner

doi:10.1063/1.863696

Stability of helically symmetric straight equilibria

M. Mond, H. Weitzner

Research output: Contribution to journal › Article › peer-review

Abstract

The stability of straight helically-symmetric low-β systems is studied. Two families of equilibria are investigated which differ from each other by the ordering of the physical variables in β. The energy principle as well as eigenmode analysis are used in order to check the stability properties of the equilibria. It is found that low shear systems are stable to interchangelike modes. It is shown that interchange stability is necessary and sufficient for stability. Thus, low shear, zero net current configurations are found which are stable. Systems with arbitrary shear are found to be stable but also to have neutrally stable modes which are localized around rational flux surfaces.

Original language	English
Pages (from-to)	2056-2061
Number of pages	6
Journal	Physics of Fluids
Volume	25
Issue number	11
DOIs	https://doi.org/10.1063/1.863696
State	Published - 1 Jan 1982
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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AB - The stability of straight helically-symmetric low-β systems is studied. Two families of equilibria are investigated which differ from each other by the ordering of the physical variables in β. The energy principle as well as eigenmode analysis are used in order to check the stability properties of the equilibria. It is found that low shear systems are stable to interchangelike modes. It is shown that interchange stability is necessary and sufficient for stability. Thus, low shear, zero net current configurations are found which are stable. Systems with arbitrary shear are found to be stable but also to have neutrally stable modes which are localized around rational flux surfaces.

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Stability of helically symmetric straight equilibria

Abstract

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