How Zonal Flow Affects Trapped-Electron-Driven Turbulence in Tokamak Plasmas

The role of self-generated zonal flows in the collisionless trapped-electron-mode (CTEM) turbulence is a long-standing open issue in tokamak plasmas. Here, we show, for the first time, that the zonal flow excitation in the CTEM turbulence is formally isomorphic to that in the ion temperature gradient turbulence. Trapped electrons contribute implicitly only via linear dynamics. Theoretical analyses further suggest that, for short wavelength CTEMs, the zonal flow excitation is weak and, more importantly, not an effective saturation mechanism. Corresponding controlling parameters are also identified theoretically. These findings not only offer a plausible explanation for previous seemingly contradictory simulation results, but can also facilitate controlling the CTEM instability and transport with experimentally accessible parameters.

Figure 1

Stability diagram of short wavelength CTEM, for $\tau =1$, $\epsilon =0.18$ and $s=0.8$. White is stable, and blue (red) represents unstable modes propagating in the ion (electron) diamagnetic direction.