Bifurcation theory of a one-dimensional transport model for the L-H transition

Abstract

Transitions between low and high-confinement (L-H transitions) in magnetically confined plasmas can appear as three qualitatively different types: sharp, smooth, and oscillatory. Bifurcation analysis unravels these possible transition types and how they are situated in parameter space. In this paper the bifurcation analysis is applied to a 1-dimensional model for the radial transport of energy and density near the edge of magnetically confined plasmas. This phenomenological L-H transition model describes the reduction of the turbulent transport by E Â B-flow shear selfconsistently with the evolution of the radial electric field. Therewith, the exact parameter space, including the threshold values of the control parameters, of the possible L-H transitions in the model is determined. Furthermore, a generalised equal area rule is derived to describe the evolution of the transport barrier in space and time self-consistently. Applying this newly developed rule to the model analysed in this paper reveals a naturally occurring transition to an extra wide transport barrier that may correspond to the improved confinement known as the very-high-confinement mode. [http://dx

Simulations of the L–H transition dynamics with different heat and particle sources

“…Most of the experiments have reached the conclusion that the realization of the L-H transition requires sufficient plasma heating and fueling sources to exceed the power threshold, meanwhile it can trigger the formation of an edge transport barrier. [6] The underlying physics and especially the dynamics near the power threshold of the L-H transition have not been revealed, although some theoretical models have been proposed [3,6,7,[9][10][11][12] and the theoretical studies of the L-H transition have been reviewed in Ref. [13].…”