{
  "annotation_id": "292dbe15-dfc0-4e4f-b020-a419d71fc3a2",
  "date_created": "2026-03-02T18:01:21.837000Z",
  "date_modified": "2026-03-02T18:01:21.837000Z",
  "file_hash": "55dcd3e69076b47c7ce1eb2eb6a0c6f9d888774d45159dba4fbcdda19182f37a",
  "private": false,
  "record": {
    "abstract": "The nonlinear evolution of a unstable electrostatic wave is considered for a\nmulti-species Vlasov plasma. From the singularity structure of the associated\namplitude expansions, the asymptotic features of the electric field and\ndistribution functions are determined in the limit of weak instability, i.e.\n$\\gamma\\to 0^+$ where $\\gamma$ is the linear growth rate. The asymptotic\nelectric field is monochromatic at the wavelength of the linear mode with a\nnonlinear time dependence. The structure of the distibutions outside the\nresonant region is given by the linear eigenfunction but in the resonant region\nthe distribution is nonlinear. The details depend on whether the ions are fixed\nor mobile; in either case the physical picture corresponds to the single wave\nmodel originally proposed by O\"Neil, Winfrey, and Malmberg for the interaction\nof a cold weak beam with a plasma of fixed ions.",
    "arxiv_id": "physics/9804014",
    "authors": [
      "John David Crawford",
      "Anandhan Jayaraman"
    ],
    "categories": [
      "physics.plasm-ph",
      "nlin.PS",
      "patt-sol"
    ],
    "doi": "10.1063/1.873302",
    "title": "First Principles Justification of a ``Single Wave Model\u0027\u0027 for   Electrostatic Instabilities",
    "url": "https://arxiv.org/abs/physics/9804014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fbeccf14-f21e-44dd-b97d-36139c005b5c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}