This paper presents a model for zonal flows (ZFs) generation based on a Chew-Goldberger-Low double equations in the regime of finite banana width (FBW) length-scale creating polarization shielding. The coupled equation is used to investigate the interplay between marginally stable geodesic-acoustic modes (GAM) and low frequency zonal flow (LZF) branch. The effect of safety factor q and dimensionless parameter \(\eta = {\text{p}}_{ \bot } /{\text{p}}_{{||}}\) on the LZF as well as GAM is investigated. Furthermore, suppression of the growth rate due to polarization shielding is demonstrated. The mechanism of ZFs growth and suppression displays many of the features expected for avalanches in tokamak turbulence.

本文提出了一种基于 Chew-Goldberger-Low 双方程在有限香蕉宽度 (FBW) 长度尺度产生极化屏蔽的范围内的带状流 (ZF) 生成模型。耦合方程用于研究边际稳定测地-声学模式 (GAM) 和低频带状流 (LZF) 分支之间的相互作用。安全系数 q 和无量纲参数\(\eta = {\text{p}}_{ \bot } /{\text{p}}_{{||}}\)对 LZF 和 GAM 的影响被调查。此外，证明了由于偏振屏蔽导致的增长率的抑制。ZFs 增长和抑制的机制显示了托卡马克湍流中雪崩的许多预期特征。