{
  "annotation_id": "9cc1887f-0820-4453-8f0e-cb056d044d3e",
  "date_created": "2026-03-02T18:00:50.492000Z",
  "date_modified": "2026-03-02T18:00:50.492000Z",
  "file_hash": "dd5fdb3a88931b223571143a944dde5745d79d986133c34d6f8ed3afc3341dde",
  "private": false,
  "record": {
    "abstract": "An approximate analytic theory is developed and implemented numerically for\ncalculating the space charge limited current and electric field of a thin\ncylindrical beam or current sheet between two wide parallel electrodes. The\nflow is confined by a sufficiently strong magnetic field. Assuming that the\npotential and current density are almost homogeneous in the direction\ntransversal to the flow we compute the beam current and profile by a\nvariational method. We find that the average current density scales as the\nreciprocal of the beam width when the latter becomes very small. The total\ncylindrical beam current thus decreases proportionly to its diameter while the\ntotal current of a sheet becomes almost independent of the width in this\nregime.",
    "arxiv_id": "physics/0404140",
    "authors": [
      "A. Rokhlenko",
      "J. L. Lebowitz"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "doi": "10.1063/1.1783316",
    "title": "Space charge limited flow of a thin electron beam confined by a strong   magnetic field",
    "url": "https://arxiv.org/abs/physics/0404140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b02ed7eb-5d4f-4596-8df0-4e31e74dc2be",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}