Plasma Physics (physics.plasm-ph)

Abstract: The investigation of spin and polarization effects in ultra-high intensity laser-plasma and laser-beam interactions has become an emergent topic in high-field science recently. In this paper we derive a relativistic kinetic description of spin-polarized plasmas, where QED effects are taken into account via Boltzmann-type collision operators under the local constant field approximation. The emergence of anomalous precession is derived from one-loop self-energy contributions in a strong background field. We are interested, in particular, in the interplay between radiation reaction effects and the spin polarization of the radiating particles. For this we derive equations for spin-polarized quantum radiation reaction from moments of the spin-polarized kinetic equations. By comparing with the classical theory, we identify and discuss the spin-dependent radiation reaction terms, and radiative contributions to spin dynamics.

Abstract: Available energy ({\AE}), which quantifies the maximum amount of thermal energy that may be liberated and converted into instabilities and turbulence, has shown to be a useful metric for predicting saturated energy fluxes in trapped-electron-mode-driven turbulence. Here, we calculate and investigate the \AE{} in the analytical tokamak equilibria introduced by \citet{Miller1998NoncircularModel}. The \AE{} of trapped electrons reproduces various trends also observed in experiments; negative shear, increasing Shafranov shift, and negative triangularity can all be stabilising as indicated by a reduction in \AE{}, though it is strongly dependent on the chosen equilibrium. We find that negative triangularity is especially beneficial in vertically elongated configurations with positive shear, or low gradients. We furthermore extract a gradient-threshold like quantity from \AE{} and find that it behaves similarly to gyrokinetic gradient-thresholds: it tends to increase linearly with magnetic shear, and negative triangularity leads to an especially high threshold. We next optimise device geometry for minimal \AE{} and find that the optimum is strongly dependent on equilibrium parameters, e.g. magnetic shear or pressure gradient. If one furthermore investigates the competing effects of increasing the density gradient, pressure gradient, and decreasing the shear, one finds regimes which have steep gradients yet low \AE{}, and that such a regime is inaccessible in negative-triangularity tokamaks. We finally compare \AE{} with saturated heat-flux estimates from the \textsc{tglf} model and find fairly good correspondence.