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The quasi-linear evolution of the lower-hybrid-drift instability is investigated for cross-field current velocities less than the ion thermal velocity (Vdvi). It is shown that current relaxation (Vd→0) and plateau formation (∂Fi/∂vy→0) in the ion velocity distribution are generally competing processes for stabilization. A detailed analysis of the energetics of the system is utilized to estimate the saturation level ℰs=ℱdkyℰky (t→∞) of the turbulent field fuctuations.
Ronald C. Davidson (Tue,) studied this question.