Stationary Spectrum of Strong Turbulence in Magnetized Nonuniform Plasma

A stationary spectrum in the frequency range much below the ion cyclotron frequency is obtained for a strongly turbulent nonuniform plasma. The $\ensuremath{\omega}$-integrated $k$ spectrum is given by ${k}^{1.8}{(1+{k}^{2})}^{\ensuremath{-}2.2}$, while the width of the frequency spectrum is proportional to ${k}^{3}{(1+{k}^{2})}^{\ensuremath{-}1}$, where $k$ is normalized by $\frac{{c}_{s}}{{\ensuremath{\omega}}_{\mathrm{ci}}}$. The result compares well with the recently observed spectrum in the ATC tokamak.