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Two-fluid magnetic island dynamics in slab geometry. I. Isolated islands
A set of reduced, two-dimensional, two-fluid, drift-MHD (magnetohydrodynamical) equations is derived. Using these equations, a complete and fully self-consistent solution is obtained for an isolated m...
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Two-fluid magnetic island dynamics in slab geometry. II. Islands interacting with resistive walls or resonant magnetic perturbations

Phys. Plasmas 12, 022308 (2005); doi:10.1063/1.1833391

Published 12 January 2005

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Richard Fitzpatrick and François L. Waelbroeck
Institute for Fusion Studies, Department of Physics, University of Texas at Austin, Austin, Texas 78712
The dynamics of a propagating magnetic island interacting with a resistive wall or an externally generated, resonant magnetic perturbation is investigated using two-fluid, drift-(magnetohydrodynamical) (MHD) theory in slab geometry. In both cases, the island equation of motion is found to take exactly the same form as that predicted by single-fluid MHD theory. Three ion polarization terms are found in the Rutherford island width evolution equation. The first is the drift-MHD polarization term for an isolated island, and is unaffected by the interaction with a wall or magnetic perturbation. Next, there is the polarization term due to interaction with a wall or magnetic perturbation which is predicted by single-fluid MHD theory. This term is always destabilizing. Finally, there is a hybrid of the other two polarization terms. The sign of this term depends on many factors. However, under normal circumstances, it is stabilizing if the noninteracting island propagates in the ion diamagnetic direction (with respect to the wall or magnetic perturbation) and destabilizing if it propagates in the electron diamagnetic direction. ©2005 American Institute of Physics
History: Received 19 July 2004; accepted 22 October 2004; published 12 January 2005
Permalink: http://link.aip.org/link/?PHPAEN/12/022308/1
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EDITORIALLY RELATED

  1. Two-fluid magnetic island dynamics in slab geometry. I. Isolated islands
    Richard Fitzpatrick et al.
    Phys. Plasmas 12, 022307 (2005)

KEYWORDS and PACS

Keywords
PACS
  • 52.30.Ex
    Two-fluid and multi-fluid plasmas
  • 52.55.Tn
    Ideal and resistive plasma MHD modes; kinetic modes
  • YEAR: 2005

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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