Electromagnetic instabilities and plasma turbulence driven by electron-temperature gradient

TL;DR

This paper investigates electromagnetic instabilities and turbulence driven by electron-temperature gradients in tokamak-like plasmas, revealing a new instability and analyzing its impact on turbulent transport and heat flux scaling.

Contribution

It introduces the Thermo-Alfvénic instability (TAI), a novel EM regime instability, and develops a turbulence cascade theory including new energy-injection scales and transport implications.

Findings

Discovery of the Thermo-Alfvénic instability (TAI) in EM turbulence.

Identification of a dominant cTAI mode at large scales affecting transport.

Steeper heat flux scaling with temperature gradient compared to electrostatic ETG turbulence.

Abstract

Electromagnetic (EM) instabilities and turbulence driven by the electron-temperature gradient are considered in a local slab model of a tokamak-like plasma. The model describes perturbations at scales both larger and smaller than the flux-freezing scale $d_e$, and so captures both electrostatic and EM regimes of turbulence. The well-known electrostatic instabilities -- slab and curvature-mediated ETG -- are recovered, and a new instability is found in the EM regime, called the Thermo-Alfv\'enic instability (TAI). It exists in both a slab version (sTAI, destabilising kinetic Alfv\'en waves) and a curvature-mediated version (cTAI), which is a cousin of the (electron-scale) kinetic ballooning mode (KBM). The cTAI turns out to be dominant at the largest scales covered by the model (greater than $d_e$ but smaller than $\rho_i$), its physical mechanism hinging on the fast equalisation of the total temperature along perturbed magnetic field lines (in contrast to KBM, which is pressure balanced). A turbulent cascade theory is then constructed, with two energy-injection scales: $d_e$, where the drivers are slab ETG and sTAI, and a larger (parallel system size dependent) scale, where the driver is cTAI. The latter dominates the turbulent transport if the temperature gradient is greater than a certain critical value, which scales inversely with the electron beta. The resulting heat flux scales more steeply with the temperature gradient than that due to electrostatic ETG turbulence, giving rise to stiffer transport. This can be viewed as a physical argument in favour of near-marginal steady-state in electron-transport-controlled plasmas (e.g., the pedestal). While the model is simplistic, the new physics that is revealed by it should be of interest to those attempting to model the effect of EM turbulence in tokamak-relevant configurations with high beta and large electron temperature gradients.