{
  "annotation_id": "cb84b24e-495e-447b-9bb2-a59781faf667",
  "date_created": "2026-03-02T18:00:56.999000Z",
  "date_modified": "2026-03-02T18:00:56.999000Z",
  "file_hash": "d091bf371f36f262086c22e7d3d4692ee7a19b312eaca16f2a631cd2d1d1334f",
  "private": false,
  "record": {
    "abstract": "We study anode-directed ionization fronts in curved geometries. When the\nmagnetic effects can be neglected, an electric shielding factor determines the\nbehavior of the electric field and the charged particle densities. From a\nminimal streamer model, a Burgers type equation which governs the dynamics of\nthe electric shielding factor is obtained. A Lagrangian formulation is then\nderived to analyze the ionization fronts. Power laws for the velocity and the\namplitude of streamer fronts are observed numerically and calculated\nanalytically by using the shielding factor formulation. The phenomenon of\ngeometrical diffusion is explained and clarified, and a universal self-similar\nasymptotic behavior is derived.",
    "arxiv_id": "physics/0504005",
    "authors": [
      "Manuel Array\u00e1s",
      "Marco A. Fontelos",
      "Jos\u00e9 L. Trueba"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1088/0305-4470/39/23/026",
    "title": "Power laws and self-similar behavior in negative ionization fronts",
    "url": "https://arxiv.org/abs/physics/0504005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "189e820c-6c4c-4255-93fc-6ff451d46949",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}