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Nonlinear interaction of tearing modes: a comparison between the tokamak and the reversed field pinch configurations

Technical Report ·
DOI:https://doi.org/10.2172/5071285· OSTI ID:5071285
The multiple helicity nonlinear interaction of resistive tearing modes is compared for the tokamak and reversed field pinch configurations using the magnetohydrodynamic equations. Unlike the case of the tokamak disruption, for which this interaction is destabilizing when islands overlap, the nonlinear coupling of the dominant helicities is shown to be a stabilizing influence in the reversed field pinch. The behavior of the coupled instabilities in the two configurations can be understood as a consequence of the stability properties of the nonlinearly driven modes. In the case of the tokamak disruption, quasi-linear effects linearly destabilize the dominant driven mode, which then feeds energy to the driving mode. For the reversed field pinch the driven modes remain stable, acting as a brake on the growth of the dominant instabilities than was observed in single helicity studies.
Research Organization:
Oak Ridge National Lab., TN (USA); Texas Univ., Austin (USA). Inst. for Fusion Studies
DOE Contract Number:
AC05-84OR21400
OSTI ID:
5071285
Report Number(s):
ORNL/TM-9148; ON: DE84010582
Country of Publication:
United States
Language:
English