Two types of helical-core equilibrium states in tokamak plasmas

Abstract

Helical distortion in the core region and its formation mechanism in weakly reversed magnetic shear tokamak plasmas are investigated using three-dimensional magnetohydrodynamic (MHD) equilibrium calculations and MHD stability analysis. It is found that there are two different types of helical equilibrium states: one is a rigid-body shift in the core region on a poloidal cross-section, while the other is a local advection only around the magnetic axis. Linear stability analysis of the corresponding axisymmetric equilibrium is carried to understand the origin of these two types of helical equilibrium states. The analysis shows that the former is related to the current-driven internal-kink instability, while the latter is linked to the pressure-driven quasi-interchange instability. The kink-mode-driven helical equilibrium state appears when the minimum value of the safety factor $q_mathrm{min}$ is close to unity, while the quasi-interchange-driven helical equilibrium state appears when $q_mathrm{min}$ is below unity. The appearance of the quasi-interchange state is attributed to the weak magnetic shear at the inner $q, =, 1$ rational surface and finite β.