Anomalous Plasma Heating at the Center of ITER due to the Two Plasmon, (Gould-Trivelpiece Modes), Turbulence

The parametric excitation of two Gould-Trivelpiece modes with gyrotrons in electron cyclotron frequency\footnote{R. Prater et. al. \textit{Nucl. Fusion }48, No 3 (March 2008).}$^,$\footnote{V. Alexander Stefan, Bulletin APS-DPP, 2009; 2008.} domain is studied. The most powerful G-T modes counter propagate at the angle of 45$^{0}$ with respect to the toroidal magnetic field. Around 10 {\%} of the G-T modes energy is convected \footnote{M. N. Rosenbluth, \textit{Phys. Rev. Letters}, \textbf{29}, 565 (1972).}away toward the plasma edge, whereby it is dissipated via Landau damping. This generates suprathermal electrons and dragged by them accelerated ions. Based on a weak parametric turbulence theory\footnote{V. Alexander Stefan, \textit{Nonlinear Electromagnetic Radiation Plasma Interactions}, (S-U-Press, 2008).} the gyrotron dissipation rate is evaluated, showing strong bulk heating at the ITER center. The energy confinement time, in terms of gyrotron intensity, scales as I$_{o}^{-4/3}$.