{
  "annotation_id": "cf19059b-f494-4af1-b67b-593109e3cd50",
  "date_created": "2026-02-17T05:53:20.473000Z",
  "date_modified": "2026-02-17T05:53:20.473000Z",
  "file_hash": "5438babee1f31dd58a161c4237f6cf480f867083ba94e4d31e24e73e198ab1ca",
  "private": false,
  "record": {
    "abstract": "High-frequency instabilities in crossed-field ($\\bm E\\times\\bm B$) plasmas are widely implicated in anomalous cross-field electron transport in Hall thrusters and related devices. Building on the fully kinetic 3D electrostatic dispersion relations reported by Ducrocq \\emph{et al.} and later by Lafleur \\emph{et al.}, we provide a concise, self-contained derivation of the key missing step: the magnetized-electron density perturbation $n_{e1}$ obtained from the linearized Vlasov equation via a retarded integration along unperturbed orbits, including finite-Larmor-radius effects and cyclotron harmonics. We collect the required mathematical identities in appendices and clarify the mapping between the Ducrocq Poisson-form and the Lafleur dielectric-form representations, including ion closures (cold-fluid versus kinetic Landau response). We conclude with a brief discussion of the assumptions and possible extensions toward more realistic configurations.",
    "arxiv_id": "2601.09047",
    "authors": [
      "Yinjian Zhao"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Unperturbed-orbit integration and the 3D kinetic dispersion relation of the electron cyclotron drift instability",
    "url": "https://arxiv.org/abs/2601.09047",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "45ada197-e7f8-4ae8-92f5-468b45dfda96",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}