A Transport Study for Resistive Interchange Mode Turbulence Based on a Renormalized Theory

A new formulation of renormalized theory for fluid-type turbulence to obtain wavenumber spectrum and turbulent diffusivity is presented. An application to the resistive interchange mode turbulence is discussed. The turbulent diffusivity using the reduced MHD equations agrees with evaluations based on the mixing length argument or the scale invariance except a coefficient of about four. An extended model based on finite Larmor radius magnetohydrodynamics (FLR-MHD) including coupling between the resistive drift wave and the resistive interchange mode is analyzed by the renormalized theory. The diffusivity depends on the phase difference and the relative magnitude between the density fluctuation and the potential fluctuation, and role of density gradient becomes more significant than the reduced MHD result. However, the wavenumber spectrum does not change much by the extended model.