Abstract
The nonlinear evolution of the lower-hybrid instability is studied analytically for the cross-field electron drift velocity much larger than the ion thermal velocity (hydrodynamic regime). A nonlinear dispersion relation is derived, in which the frequency as well as growth rate modulation is taken into account, and the ion heating and ion drift motion accompanied by the growth of the instability are renormalized in the ion susceptibility. The dispersion relation determines self-consistently, in a quasilinear approximation, the time variation of the complex frequency Ωk(t) = ωk(t)+iγk(t). Numerical solution of the dispersion relation reveals that the growth rate of the most unstable mode becomes ∼0.1γ0 (γ0 is the initial growth rate) after several growth periods.
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