The findings of an investigation into the properties of the three dimensional (3D) saturated fluctuation intensity of the electric potential in gyrokinetic turbulence simulations is presented. Scans in flux surface elongation and Shafranov shift are used to isolate the tokamak geometric dependencies. The potential intensity required in order to compute exact fluxes by a quasilinear method is determined using linear eigenmodes computed with the gyrokinetic code. A model of this non-linear intensity is constructed using the linear eigenmode properties and the geometry shape functions obtained from the 3D intensity spectrum. The model computes the poloidal wavenumber spectrum of the electron and ion energy fluxes with unprecedented accuracy. New insights are gained into the way zonal flow mixing saturates ion-scale turbulence by controlling the radial wavenumber width of the turbulence spectrum.

提出了对陀螺动力学湍流模拟中电势的三维（3D）饱和波动强度特性进行研究的结果。扫描通量表面伸长率和Shafranov位移可用来分离托卡马克的几何依赖性。使用准动态方法计算的线性本征模可确定通过准线性方法计算精确通量所需的势能强度。使用线性本征模属性和从3D强度谱获得的几何形状函数，可以构造这种非线性强度的模型。该模型以前所未有的精度计算电子和离子能通量的极谱波数谱。