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Three dimensional equilibria in the magnetohydrodynamic approximation

Published online by Cambridge University Press:  13 March 2009

M. L. Woolley
M. L. Woolley
Affiliation:
Astronomy Centre, University of Sussex
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Abstract

By introducing field line potentials for the magnetic induction and current line potentials for the current density, it is shown that the equations which describe a static equilibrium system, in the ideally conducting magnetohydrodynamic approximation, may be derived from two equivalent variational principles. The problem of integration is essentially that of finding a transformation of the potentials which changes one of the associated Lagrangian functions into the other. The assumption that the current density has no component in one direction of a rectangular Cartesian coordinate system leads to a new class of fully three dimensional equilibria having a plane symmetry.

Type
Research Article
Information
Journal of Plasma Physics , Volume 15 , Issue 3 , June 1976 , pp. 423 - 430
Copyright
Copyright © Cambridge University Press 1976

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References

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