D. Carati et al., RENORMALIZATION-GROUP THEORY OF PLASMA MICROTURBULENCE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 1444-1457
The dynamical renormalization-group methods are applied to the gyrokin
etic equation describing drift-wave turbulence in plasmas. As in both
magnetohydrodynamic and neutral turbulence, small-scale fluctuations a
ppear to act as effective dissipative processes on large-scale phenome
na. A linear renormalized gyrokinetic equation is derived. No artifici
al forcing is introduced into the equations and all the renormalized c
orrections are expressed in terms of the fluctuating electric potentia
l. The link with the quasilinear limit and the direct interaction appr
oximation is investigated. Simple analytical expressions for the anoma
lous transport coefficients are derived by using the linear renormaliz
ed gyrokinetic equation. Examples show that both quasilinear and Bohm
scalings can be recovered depending on the spectral amplitude of the e
lectric potential fluctuations.