dorsal/arxiv
View SchemaCriticality of the Grad-Shafranov equation: transport barriers and fragile equilibria
| Authors | Emilia R. Solano |
|---|---|
| Categories | |
| ArXiv ID | physics/0308048 |
| URL | https://arxiv.org/abs/physics/0308048 |
| DOI | 10.1088/0741-3335/46/3/L02 |
| Journal | Plasma Phys. Control. Fusion 46 (2004) L7-L13 |
Abstract
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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"abstract": "We review criticality theory as a prelude to consideration of criticality of\nthe Grad-Shafranov equation. Novel criticality conditions of ODEs and PDEs are\nderived, easily evaluated. The possibility that transport barriers are\nassociated with characteristics of the equilibrium equation is explored. We\nconjecture that equilibrium criticality permits the appearance of new solution\nbranches: the high confinement branch has high poloidal flux gradient in a\ndiamagnetic region of the plasma. Similarly, criticality may lead to loss of\nsolution, which could be related to MHD instability and/or island formation",
"arxiv_id": "physics/0308048",
"authors": [
"Emilia R. Solano"
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"doi": "10.1088/0741-3335/46/3/L02",
"journal_ref": "Plasma Phys. Control. Fusion 46 (2004) L7-L13",
"title": "Criticality of the Grad-Shafranov equation: transport barriers and fragile equilibria",
"url": "https://arxiv.org/abs/physics/0308048"
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