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The resistive evolution of force-free magnetic fields. Part 3. Cylindrical geometry

Published online by Cambridge University Press:  13 March 2009

J. Reid  and
E. W. Laing
J. Reid
Affiliation:
Natural Philosophy Department, The University, Glasgow G12 8QQ
E. W. Laing
Affiliation:
Natural Philosophy Department, The University, Glasgow G12 8QQ
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Abstract

Equations describing the resistive evolution of a cylindrically symmetric magnetic field through force-free states enable us to study its response to externally applied electric fields. The process is relaxational, and, under certain conditions, the final state is a reversed field configuration. We show, moreover, that the non-standard nature of the equations leads to a non-trivial (adiabatic) evolution in the case of vanishing resistivity.

Type
Research Article
Information
Journal of Plasma Physics , Volume 22 , Issue 2 , October 1979 , pp. 193 - 200
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Bickerton, R. J. 1958 Proc. Phys. Soc. 72, 618.CrossRefGoogle Scholar
Christiansen, J. P. & Roberts, K. V. 1978 Comput. Phys. Commun. 14, 423.CrossRefGoogle Scholar
Grad, H. 1970 Actes Congrøs Int. Math. vol. 3 105.Google Scholar
Grad, H. 1977 Courant Institute Report, MF-88. New York University.Google Scholar
Grad, H. & Hu, P. N. 1978 Courant Institute Report, MF-91. New York University.Google Scholar
Grad, H., Hu, P. N. & Stevens, D. C. 1975 PNAS 72, 3789.CrossRefGoogle Scholar
Grad, H., Hu, P. N., Stevens, D. C. & Turkel, E. 1977 Plasma Physics & Controlled Nuclear Fusion Research, vol. 2, p. 355. IAEA.Google Scholar
Hobbs, G. D. 1963 Culham Laboratory Report P19. UKAEA.Google Scholar
Kadish, A. 1974 Plasma Phys. 17, 555.CrossRefGoogle Scholar
Kadish, A. & Zwart, J. W. A. 1973 Phys. Fluids, 16, 2190.CrossRefGoogle Scholar
Kadish, A. & Zwart, J. W. A. 1974 Plasma Phys. 16, 43.CrossRefGoogle Scholar
Lundquist, S. 1950 Ark. Fys. 2, 361.Google Scholar
Reid, J. & Laing, E. W. 1979 J. Plasma Phys. 21, 501.CrossRefGoogle Scholar
Roberts, K. V., Christiansen, J. P. & Long, A. W. 1975 Comput. Phys. Commun. 10, 264.CrossRefGoogle Scholar