Zonal flow generation in ion temperature gradient mode turbulence
J.Anderson, H. Nordman, R. Singh, J. Weiland
TL;DR
This paper analytically investigates how zonal flows grow in ion temperature gradient turbulence within tokamaks, highlighting the influence of plasma parameters and elongation on the growth rate near marginal stability.
Contribution
It provides an analytical model for ZF growth in ITG turbulence including elongation effects, which was not previously detailed.
Findings
Large ZF growth occurs near marginal stability
Peaked density profiles enhance ZF growth
Elongation amplifies ZF growth effects
Abstract
In the present work the zonal flow (ZF) growth rate in toroidal ion-temperature-gradient (ITG) mode turbulence including the effects of elongation is studied analytically. The scaling of the ZF growth with plasma parameters is examined for typical tokamak parameter values. The physical model used for the toroidal ITG driven mode is based on the ion continuity and ion temperature equations whereas the ZF evolution is described by the vorticity equation. The results indicate that a large ZF growth is found close to marginal stability and for peaked density profiles and these effects may be enhanced by elongation.
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