Abstract
A simple transport model is developed to study the dynamical evolution of an auxiliary heated tokamak plasma during the transition to a high beta, ballooning mode second-stable equilibrium. The effect of the ballooning mode stability on the transport is incorporated by prescribing an enhanced thermal diffusion in the unstable region. The resultant highly non-linear transport equation is solved numerically as an initial value problem, and also analytically by means of boundary layer theory. In particular, the auxiliary heating power P required for global transition of a flux-conserving tokamak plasma to the second stability regime is found to scale as where χmax is the instability induced thermal conductivity enhancement factor and τE is the confinement time in the ballooning stable regime.
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