Stability Study of High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>Flux-Conserving Equilibria

The flux-conserving tokamak model suggested that rapid heating would yield equilibria with high relative energy density ($\ensuremath{\beta}=\frac{2p}{{B}^{2}}$) 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 $\ensuremath{\beta}$ values of 10%, if there is a superconducting metal shell in the vicinity of the plasma.