Abstract
The authors show that a generalization of the Kraichnan Direct Interaction Approximation for fluid turbulence to the Vlasov or Klimontovich equations for plasmas contains most previously proposed 'strong' turbulence theories with the addition of further ad hoc approximations. This comparison depends on an exact factorization of the DIA into screened and unscreened quantities. The usual perturbed orbit or renormalized weak turbulence corrections to the unscreened Green's function are shown to inadequately account for the self-consistent nature of the turbulent electric fields. A direct prescription for the calculation of the unscreened correlation function which determines the Fokker-Planck friction coefficient is carried through in an approximation which neglects mode coupling effects. No enhanced noise due to phase-space clumps is found; in the discrete particle theory a turbulence renormalized (broadened) expression for the discrete particle noise is obtained.
Published Version
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