{
  "annotation_id": "5a6f0334-9baa-40f8-ac58-95b10de5b22d",
  "date_created": "2026-03-02T18:00:46.735000Z",
  "date_modified": "2026-03-02T18:00:46.735000Z",
  "file_hash": "d00680891ab93c747678166065cce6900705141f9b43c74303fddf09092cbf03",
  "private": false,
  "record": {
    "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"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.gen-ph"
    ],
    "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"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "188f375a-9c2b-4c7f-ac4d-4b51834d3ca8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}