Criticality of the Grad-Shafranov equation: transport barriers and fragile equilibria

Details Criticality of the Grad-Shafranov equation: transport barriers and fragile equilibria Criticality of the Grad-Shafranov equation: transport barriers and fragile equilibria

2003-08-12

arxiv.org/abs/physics/0308048v1

Plasma Phys. Control. Fusion 46 (2004) L7-L13

Physics

Plasma Physics

6 pages, 2 figures

Scientific paper

10.1088/0741-3335/46/3/L02

We review criticality theory as a prelude to consideration of criticality of the Grad-Shafranov equation. Novel criticality conditions of ODEs and PDEs are derived, easily evaluated. The possibility that transport barriers are associated with characteristics of the equilibrium equation is explored. We conjecture that equilibrium criticality permits the appearance of new solution branches: the high confinement branch has high poloidal flux gradient in a diamagnetic region of the plasma. Similarly, criticality may lead to loss of solution, which could be related to MHD instability and/or island formation

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