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Two-fluid magnetic island dynamics in slab geometry. II. Islands interacting with resistive walls or resonant magnetic perturbations
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...

Two-fluid magnetic island dynamics in slab geometry. I. Isolated islands

Phys. Plasmas 12, 022307 (2005); doi:10.1063/1.1833375

Published 12 January 2005

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Richard Fitzpatrick and François L. Waelbroeck
Department of Physics, Institute for Fusion Studies, University of Texas at Austin, Austin, Texas 78712
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 magnetic island propagating through a slab plasma with uniform but different ion and electron fluid velocities. The ion and electron fluid flow profiles around the island are uniquely determined, and are everywhere continuous. Moreover, the island phase velocity is uniquely specified by the condition that the island-induced modifications to the ion and electron velocity profiles remain localized in the vicinity of the island. Finally, the ion polarization current correction to the Rutherford island width evolution equation is evaluated and found to be stabilizing provided that the anomalous perpendicular ion viscosity significantly exceeds the anomalous perpendicular electron viscosity. ©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/12/022307/1
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EDITORIALLY RELATED

  1. Two-fluid magnetic island dynamics in slab geometry. II. Islands interacting with resistive walls or resonant magnetic perturbations
    Richard Fitzpatrick et al.
    Phys. Plasmas 12, 022308 (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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ISSN:
1070-664X (print)   1089-7674 (online)
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