Strong turbulence in magnetized plasmas

By means if a fluid description, an investigation is made of the spectral structure of turbulence in a plasma confined by a strong homogeneous magnetic field. The turbulent spectrum is divided into subranges. Mean gradients of velocity and density excite turbulent motions, and serve as sources in the production subrange.

The spectra of velocity and potential fluctuations interact in the coupling subrange, and the energy is transferred long the spectrua in the inertia subrange to be ultimately dissipated in a dissipation subrange. Applying the method of cascade decomposition, we obtain the spectral laws k-3, k-5, k-2 for the velocity functions, and k-3, k-5, k-3/2 for the potential fluctuations, in the production, coupling and inertia subranges, respectively.

The Bohm diffusion coefficient is also reproduced. Good agreement is found with measured power laws reported in the literature.