{
  "annotation_id": "c8fe5a30-b680-4244-b8e1-4a93a7c08a40",
  "date_created": "2026-03-02T18:01:04.300000Z",
  "date_modified": "2026-03-02T18:01:04.300000Z",
  "file_hash": "705114f556568862430ffea43de1c9debbcbdff0b94bc4e55ac041ac42487200",
  "private": false,
  "record": {
    "abstract": "It is shown that the critical layer analysis, involved in the linear theory\nof internal modes, can be extended continuously into the early nonlinear\nregime. For the m=1 resistive mode, the dynamical analysis involves two small\nparameters: the inverse of the magnetic Reynolds number S and the m=1 mode\namplitude A, that measures the amount of nonlinearities in the system. The\nlocation of the instantaneous critical layer and the dominant dynamical\nequations inside it are evaluated self-consistently, as A increases and crosses\nsome S-dependent thresholds. A special emphasis is put on the influence of the\ninitial q-profile on the early nonlinear behavior. Predictions are given for a\nfamily of q-profiles, including the important low shear case, and shown to be\nconsistent with recent experimental observations.",
    "arxiv_id": "physics/0511124",
    "authors": [
      "M. -C. Firpo"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "doi": "10.1016/j.physleta.2005.05.052",
    "journal_ref": "Phys. Lett. A, Vol. 342 (2005) 263-266",
    "title": "Early nonlinear regime of MHD internal modes: the resistive case",
    "url": "https://arxiv.org/abs/physics/0511124"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2dfce9a-ac3d-4b07-a52d-73929d323cbd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}