{
  "annotation_id": "4aff78e0-15ea-4c18-8289-574a675ee66e",
  "date_created": "2026-03-02T18:00:42.939000Z",
  "date_modified": "2026-03-02T18:00:42.939000Z",
  "file_hash": "c87de28df16d49fa81ae97cb85484bc9683e21d1615a7388d23ebf2d1e88b43b",
  "private": false,
  "record": {
    "abstract": "An approximate analytic solution is constructed for the 2-d space charge\nlimited emission by a cathode surrounded by non emitting conducting ledges of\nwidth Lambda. An essentially exact solution (via conformal mapping) of the\nelectrostatic problem in vacuum is matched to the solution of a linearized\nproblem in the space charge region whose boundaries are sharp due to the\npresence of a strong magnetic field. The current density growth in a narrow\ninterval near the edges of the cathode depends strongly on Lambda. We obtain an\nempirical formula for the total current as a function of Lambda which extends\nto more general cathode geometries.",
    "arxiv_id": "physics/0302052",
    "authors": [
      "A. Rokhlenko",
      "Joel L. Lebowitz"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "doi": "10.1103/PhysRevLett.91.085002",
    "title": "Space Charge Limited 2-d Electron Flow between Two Flat Electrodes in a   Strong Magnetic Field",
    "url": "https://arxiv.org/abs/physics/0302052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3cd15731-ecf0-415e-b27c-ca255f1b4ab8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}