{
  "annotation_id": "43408d23-cce8-4675-8585-cf46f20bfc01",
  "date_created": "2026-03-02T18:00:56.879000Z",
  "date_modified": "2026-03-02T18:00:56.879000Z",
  "file_hash": "56b60595fd9193bb7e4dd553824d68b35513ad7379e7fcb9f8a974c500dce201",
  "private": false,
  "record": {
    "abstract": "Within the traditional frame of reduced MHD, a new rigorous perturbation\nexpansion provides the equation ruling the nonlinear growth and saturation of\nthe tearing mode for any current gradient. The small parameter is the magnetic\nisland width w. For the first time, the final equation displays at once terms\nof order w ln(1/w) and w which have the same magnitude for practical purposes;\ntwo new O(w) terms involve the current gradient. The technique is applicable to\nthe case of an external forcing. The solution for a static forcing is computed\nexplicitly and it exhibits three physical regimes.",
    "arxiv_id": "physics/0501136",
    "authors": [
      "N. Arcis",
      "D. F. Escande",
      "M. Ottaviani"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "title": "Perturbative approach to the nonlinear saturation of the tearing mode   for any current gradient",
    "url": "https://arxiv.org/abs/physics/0501136"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "211938b9-6ee5-4252-903f-5aae09fee0a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}