{
  "annotation_id": "2f77a40c-4b1b-40b1-a65a-2908454f16c3",
  "date_created": "2026-03-02T18:00:53.769000Z",
  "date_modified": "2026-03-02T18:00:53.769000Z",
  "file_hash": "15425df420ca9afce031a9fe09b314dd0ed75a29a57978ec231ebc59256ef676",
  "private": false,
  "record": {
    "abstract": "The dispersion relation of longitudinal electrostatic oscillations in a\nrelativistic plasma is studied in the context of the nonextensive statistics\nformalism proposed by Tsallis [C. Tsallis, J. Stat. Phys. {\\bf 52}, 479\n(1988)], where nonextensivity is characterized by a parameter $q$ in Tsallis\u0027s\nentropy. $q=1$ corresponds to the usual Boltzmann-Gibbs, extensive statistics\nformalism. In the nonrelativistic regime, normalizability of the equilibrium\ndistribution function implies that $-1\\leq q\\leq\\infty$. We show that in the\nrelativistic regime much tighter constraints must be satisfied, namely $0\\leq q\n\\leq 1+ k_B T/mc^2$, where $k_B$ is the Boltzmann constant, $T$ is the\ntemperature of the plasma, and $m$ is the particle mass. Then we study\nlongitudinal oscillations in a proton-electron plasma, assuming immobile\nprotons, and electrons whose distribution function maximizes Tsallis\u0027s entropy.\nThe dispersion relation of these oscillations is written in integral form for\nthe long wavelength limit. Explicit expressions in terms of generalized\nhypergeometric functions can be found for all possibles values of $q$ in the\nultra-relativistic regime.",
    "arxiv_id": "physics/0410204",
    "authors": [
      "Victor Munoz"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "title": "Longitudinal oscillations in a nonextensive relativistic plasma",
    "url": "https://arxiv.org/abs/physics/0410204"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5c0133f8-83ee-4a6c-bbe2-0cdc5faa1183",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}