Quasilinear analysis of the zonal flow back-reaction on ion-temperature-gradient mode turbulence
Johan Anderson, Jiquan Li, Yasuaki Kishimoto, Eun-jin Kim
TL;DR
This paper analytically investigates how zonal flows suppress ion-temperature-gradient mode turbulence near the stability threshold by deriving a modified dispersion relation that accounts for back-reaction effects.
Contribution
It introduces a quasilinear analytical framework to quantify the back-reaction of zonal flows on ITG turbulence, extending previous understanding.
Findings
Reduction in the linear growth rate of ITG turbulence
Increase in the effective linear ITG threshold
Analytical expression for zonal flow back-reaction effects
Abstract
There is strong evidence in favor for zonal flow suppression of the Ion-Temperature-Gradient (ITG) mode turbulence, specifically close to the linear stability threshold. The present letter attempts to analytically calculate the effects of zonal flow suppression of the ITG turbulence through deriving a modified dispersion relation including the back-reaction of the zonal flows on the ITG turbulence based on the quasilinear theory. The results are manifested in a reduction of the linear growth rate and an increase in the effective linear ITG threshold.
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