Nonlinear destabilization of tearing modes

Details Nonlinear destabilization of tearing modes Nonlinear destabilization of tearing modes

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phrvl..46.1131c&link_type=abstract

Physical Review Letters, vol. 46, Apr. 27, 1981, p. 1131-1134.

Computer Science

Numerical Analysis

34

Magnetohydrodynamic Stability, Nonlinearity, Numerical Analysis, Plasma Oscillations, Tearing Modes (Plasmas), Magnetic Flux, Stochastic Processes, Vortices

Scientific paper

The mechanism by which the nonlinear interaction of tearing modes with different helicities leads to plasma destabilization by the rapid growth of the modes involved is investigated. The effect of a static background of many modes on the linear growth of a test-wave tearing mode is analyzed in the resistive magnetohydrodynamics approach to third order in a random-phase approximation. Conditions are derived for the stabilization or destabilization of the tearing mode in terms of a delta function of the nonlinearly driven modes. Results are then used to interpret the observed destabilization of the m = 3, n = 2 tearing mode obtained in nonlinear three-dimensional calculations.

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