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Perturbative analysis of the tearing mode saturation

Phys. Plasmas 13, 112512 (2006); doi:10.1063/1.2375036

Published 29 November 2006

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F. Militello, R. J. Hastie, and F. Porcelli
Burning Plasma Research Group, Department of Energetics, Politecnico di Torino, 10129 Torino, Italy
The saturation of the tearing mode in a plasma column is investigated in the framework of the resistive magnetohydrodynamics approximation. In particular, a perturbative procedure is adopted to evaluate the structure of the magnetic island in three relevant physical conditions, depending on the model for the evolution of the resistivity, which may be affected by the growth of the mode. In cylindrical geometry, which is well suited to describe a large-aspect-ratio, low-beta tokamak plasma, the magnetic island is asymmetric with respect to the magnetic surface where reconnection occurs. New relations for the saturated island width ws as a function of the relevant features of the equilibrium current density profile, i.e., its gradient and curvature at the reconnecting surface, are obtained. Finally, equivalent relations are also derived in the slab limit. ©2006 American Institute of Physics
History: Received 13 April 2006; accepted 18 August 2006; published 29 November 2006
Permalink: http://link.aip.org/link/?PHPAEN/13/112512/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Py
    Plasma macroinstabilities (hydromagnetic) e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor instabilities, etc
  • 52.55.Tn
    Ideal and resistive plasma MHD modes; kinetic modes
  • 52.30.Cv
    Plasma magnetohydrodynamics including electron magnetohydrodynamics
  • 52.35.Vd
    Magnetic reconnection in plasmas
  • 52.25.Fi
    Plasma transport properties
  • 52.55.Fa
    Tokamaks
  • YEAR: 2006

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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REFERENCES (23)
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