Secondary instability of electromagnetic ion-temperature-gradient modes for zonal flow generation

Anderson, Johan; Nordman, Hans; Singh, Rameswar; Singh, Raghvendra
July 2011
Physics of Plasmas;Jul2011, Vol. 18 Issue 7, p072306
Academic Journal
An analytical model for zonal flow generation by toroidal ion-temperature-gradient (ITG) modes, including finite β electromagnetic effects, is derived. The derivation is based on a fluid model for ions and electrons and takes into account both linear and nonlinear β effects. The influence of finite plasma β on the zonal flow growth rate (γZF) scaling is investigated for typical tokamak plasma parameters. The results show the importance of the zonal flows close to marginal stability where γZF/γITG > 1 is obtained. In this region the parameter γZF/γITG increases with β, indicating that the ITG turbulence and associated transport would decrease with β at a faster rate than expected from a purely linear or quasi-linear analysis.


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