Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T20:53:42.341Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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