Abstract
The nonlinear saturated state of the m = 1, n = 1 ideal MHD instability is calculated for a large--aspect-ratio tokamak. When the q(r) profile is nonmonotonic with ..delta..q = (q/sub min/-1)>0, the amplitude xi of the nonlinear state is given by xi/sup 2/q''/..delta..q = 7.9((..delta..q/sub c//..delta..q)/sup 3//sup ///sup 2/-1), where ..delta../sup q//sub c/ is the critical value of ..delta..q at which the system is marginally stable. This nonlinear state is similar to that seen during the sawtooth crash in large tokamaks and may be related to the steady-state oscillations seen when sawteeth are suppressed by lower-hybrid current drive.
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