Abstract
The first principle gyrokinetic simulations of trapped electron turbulence in tokamak fusion plasmas demonstrate the energy transfers from the most linearly unstable modes at high k_theta rho _isim 1 to intermediate k_theta via parametric decay process in a short period of linear-nonlinear transition phase. Dominant nonlinear wave-wave interactions occur near the mode rational surface msimeq nq. In fully nonlinear turbulence, inverse energy cascade occurs between a cutoff wave number k_c and k_theta rho _isim 1 with a power law scaling |phi (k_theta )|^2propto k^{-3}, while modes with k<k_c are suppressed. The numerical findings show fair agreement with both the weak turbulence theory and realistic experiments on Tore Supra tokamak.
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