Stability Study of High-βFlux-Conserving Equilibria

The flux-conserving tokamak model suggested that rapid heating would yield equilibria with high relative energy density ($\beta =\frac{2p}{B^2}$) while nonetheless allowing control over $q$, the so-called safety factor for instability within the ideal magnetohydrodynamic plasma model. In this study, we show that this is adequate to provide stability to $\beta$ values of 10%, if there is a superconducting metal shell in the vicinity of the plasma.