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Generalized elliptic equilibria in the magnetohydrodynamic approximation

Published online by Cambridge University Press:  13 March 2009

M. L. Woolley
Affiliation:
Astronomy Centre, University of Sussex, Falmer, nr Brighton, Sussex BN1 9QH

Abstract

A simple class of static equilibria, in the ideally conducting magnetohydrodynamic approximation, is found to include linear systems having surfaces of constant hydrodynamic pressure with a cylindrical topology and elliptic transverse cross-section functionally dependent on an axial co-ordinate. These suggest a possible mode of behaviour for non-axisymmetric toroidal systems and might themselves be realized experimentally as free boundary configurations of a plasma in an applied quadrupole-like magnetic field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1977

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References

REFERENCES

Strauss, H. R. 1974 phys. Fluide, 17, 1040.CrossRefGoogle Scholar