Abstract
Two-fluid theory is used to calculate the nonlinear effect of a finite-amplitude ion-cyclotron wave on the simple interchange stability of a magnetically confined plasma. The ion-cyclotron wave nonlinearly modifies interchange stability through ponderomotive effects and coupling to sidebands of the ion-cyclotron wave. Nonlinear stability criteria for flute modes are derived. The nonuniformity and polarization of the ion-cyclotron wave significantly influence the results. A theoretical explanation for recent experimental observations in axisymmetric mirror and tandem mirror plasmas of reduced levels of magnetohydrodynamic activity in the presence of ion-cyclotron resonant heating remains elusive.
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