Nonlinear Stabilization of $\overrightarrow{\mathrm{E}}\times \overrightarrow{\mathrm{B}}$ Electron Drift Instability with $T_i\sim T_e$

The resonant nonlinear interactions of two waves with the gyromotion of the electrons stabilize the high-frequency modes of the $\overrightarrow{\mathrm{E}}\times \overrightarrow{\mathrm{B}}$ electron drift instability, but further destabilize the low-frequency modes. However, the total wave energy is stabilized by this mechanism, whereas wave-wave scattering processes transfer energy from the unstable region of the spectrum toward the nonlinearly damped one. The predicted turbulence level at $K=\frac{1}{{\lambda }_{\mathrm{D}}}$ is in good agreement with experimental results.