{
  "annotation_id": "b3d94b04-a5ff-4d07-8467-ecc86280e547",
  "date_created": "2026-03-02T18:00:36.392000Z",
  "date_modified": "2026-03-02T18:00:36.392000Z",
  "file_hash": "65323ba861a8a93b1ae8d0a8c3da64dc1dbc38088867da7b634bafcc29a601f8",
  "private": false,
  "record": {
    "abstract": "Building on the Radon transform of the Vlasov-Poisson equations, a\nmacroscopic fluid model for the coherent beam-beam interaction has been\ndeveloped. It is shown that the Vlasov equation, expressed in action-angle\nvariables, can be reduced to a closed set of hydrodynamic (fluid) equations for\nthe beam density and current velocity. The linearized one dimensional equations\nhave been analysed, and explicit expressions for the coherent beam-beam\ntuneshifts are presented.",
    "arxiv_id": "physics/0104086",
    "authors": [
      "Stephan I. Tzenov",
      "Ronald C. Davidson"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "journal_ref": "Conf.Proc.C0106181:2078-2080,2001",
    "title": "Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction",
    "url": "https://arxiv.org/abs/physics/0104086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13b50aab-9432-42a4-8d75-3a848e2597d2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}