Theory of dissipative trapped-ion convective-cell turbulence

The nonlinear dynamics of dissipative trapped-ion convective cells in broadband turbulence is analyzed. Saturation is achieved by both local and nonlocal transfer of spectral energy from unstable long-wavelength trapped-ion fluctuations to shear-damped moderate-wavelength trapped-electron modes. In particular, contrary to previous studies, it is shown conclusively that no long-wavelength condensation of fluctuation energy is possible. The transport level associated with these structures is therefore moderate and not catastrophic (Bohm-like), as conventionally believed.