Abstract
Most existing zonal flow generation theory has been developed with a usual assumption of qrρθi⪡1 (qr is the radial wave number of zonal flow and ρθi is the ion poloidal gyroradius). However, recent nonlinear gyrokinetic simulations of trapped electron mode turbulence exhibit a relatively short radial scale of the zonal flows with qrρθi∼1 [Z. Lin et al., Proceedings of the 21st International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Chengdu, China, 2006 (International Atomic Energy Agency, Vienna, 2006); D. Ernst et al., Phys. Plasmas 16, 055906 (2009)]. This work reports an extension of zonal flow growth calculation to this short wavelength regime via the wave kinetics approach. A generalized expression for the polarization shielding for arbitrary radial wavelength [L. Wang and T. S. Hahm, Phys. Plasmas 16, 062309 (2009)] which extends the Rosenbluth–Hinton formula in the long wavelength limit is applied.
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