In:
The Physics of Fluids, AIP Publishing, Vol. 5, No. 9 ( 1962-09-01), p. 1063-1069
Abstract:
A formalism for representing helically invariant hydromagnetic systems is introduced. Such systems are the most general two-dimensional configurations in three-dimensional space, since they include translation-invariant and rotation-invariant configurations as special cases. Expressions for the magnetic field and, when the system is in equilibrium, the current are given in terms of an appropriate nonorthogonal coordinate system. An energy integral is given which forms the basis of a numerical relaxation procedure for obtaining equilibria. The relationship between this formalism and that in which the equilibrium problem is reduced to solving a partial differential equation for the stream function is established. The necessary and sufficient condition for the stability of helically invariant systems with respect to localized displacements is obtained.
Type of Medium:
Online Resource
ISSN:
0031-9171
Language:
English
Publisher:
AIP Publishing
Publication Date:
1962
detail.hit.zdb_id:
1472743-2
detail.hit.zdb_id:
241528-8
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