Stability of equilibria with helical magnetic axis

Michael Mond

doi:10.1063/1.864109

Stability of equilibria with helical magnetic axis

Michael Mond

Department of Mechanical Engineering

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Abstract

The stability of equilibria with a helical magnetic axis is studied. First, two families of equilibria whose applied fields have the same pitch as the magnetic axis are investigated. The two families differ from each other by the ordering of the physical variables with β. Then, the energy principle is used in order to check the stability properties of the equilibria. It is shown that low-β, low-shear systems with zero net current are stable for arbitrary values of the pressure if the deviation from straight magnetic axis is large enough.

Original language	English
Pages (from-to)	3327-3331
Number of pages	5
Journal	Physics of Fluids
Volume	26
Issue number	11
DOIs	https://doi.org/10.1063/1.864109
State	Published - 1 Jan 1983

ASJC Scopus subject areas

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

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10.1063/1.864109

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AB - The stability of equilibria with a helical magnetic axis is studied. First, two families of equilibria whose applied fields have the same pitch as the magnetic axis are investigated. The two families differ from each other by the ordering of the physical variables with β. Then, the energy principle is used in order to check the stability properties of the equilibria. It is shown that low-β, low-shear systems with zero net current are stable for arbitrary values of the pressure if the deviation from straight magnetic axis is large enough.

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Stability of equilibria with helical magnetic axis

Abstract

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