{
  "annotation_id": "e697e539-a82a-48c4-b6d0-1d3de1921a0a",
  "date_created": "2026-03-02T18:01:21.910000Z",
  "date_modified": "2026-03-02T18:01:21.910000Z",
  "file_hash": "ab61fbe8b15c092fe6d8b0fd43a9abef661071810daf4179b2b8681a85341f4e",
  "private": false,
  "record": {
    "abstract": "In the present paper we study the long wavelength and slow time scale\nbehavior of a coasting beam in a resonator adopting a broad-band impedance\nmodel. Based on the renormalization group approach we derive a set of coupled\nevolution equations for the beam envelope distribution function and the\nresonator voltage amplitude. The equation for the resonator voltage amplitude\nis further transformed into a generalized Ginzburg-Landau equation.",
    "arxiv_id": "physics/9809018",
    "authors": [
      "Stephan I. Tzenov"
    ],
    "categories": [
      "physics.acc-ph",
      "nlin.PS",
      "patt-sol",
      "physics.plasm-ph"
    ],
    "title": "Formation of Patterns and Coherent Structures in Charged Particle Beams",
    "url": "https://arxiv.org/abs/physics/9809018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8befd4d7-db78-4ab4-9608-9fbcd67984e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}