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Effect of electrostatic turbulence on magnetic islands

F L Waelbroeck1, F Militello1,2, R Fitzpatrick1 and W Horton1

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A numerical analysis of the interaction of resistive drift wave and interchange turbulence with a magnetic island in a two-dimensional slab is presented. The time-scale for the evolution of the island is assumed to be much longer than that for the turbulence, allowing the use of an electrostatic model. The effects of the turbulence are isolated by choosing the parameters such that only even modes are unstable. This makes it possible to compare turbulent states with quiescent states in which turbulence is suppressed by enforcing odd parity. The turbulence is found to reduce the propagation velocity of the island. Its effect is destabilizing for thin islands but becomes stabilizing for islands greater than a few times the Larmor radius. Analysis of the quiescent solutions reveals the possibility of oscillations of the island amplitude and frequency through hysteretic transitions between bistable states.


PACS

52.35.Ra Plasma turbulence

52.35.Kt Drift waves

52.35.Py Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)

52.30.Cv Magnetohydrodynamics (including electron magnetohydrodynamics)

52.25.Gj Fluctuation and chaos phenomena

52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves)

Subjects

Plasma physics

Dates

Issue 1 (January 2009)

Received 30 July 2008, in final form 27 October 2008

Published 11 December 2008



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