{
  "annotation_id": "9197e60a-a3af-42ca-a801-580268cb6955",
  "date_created": "2026-03-02T18:01:18.147000Z",
  "date_modified": "2026-03-02T18:01:18.147000Z",
  "file_hash": "60fd31729d54ca5425c4ba78b8f5a1f6606082c1aa17b41194c881a3ea731f7e",
  "private": false,
  "record": {
    "abstract": "Resistive steady states in toroidal magnetohydrodynamics (MHD), where Ohm\u0027s\nlaw must be taken into account, differ considerably from ideal ones. Only for\nspecial (and probably unphysical) resistivity profiles can the Lorentz force,\nin the static force-balance equation, be expressed as the gradient of a scalar\nand thus cancel the gradient of a scalar pressure. In general, the Lorentz\nforce has a curl directed so as to generate toroidal vorticity. Here, we\ncalculate, for a collisional, highly viscous magnetofluid, the flows that are\nrequired for an axisymmetric toroidal steady state, assuming uniform scalar\nresistivity and viscosity. The flows originate from paired toroidal vortices\n(in what might be called a ``double smoke ring\u0027\u0027 configuration), and are\nthought likely to be ubiquitous in the interior of toroidally driven\nmagnetofluids of this type. The existence of such vortices is conjectured to\ncharacterize magnetofluids beyond the high-viscosity limit in which they are\nreadily calculable.",
    "arxiv_id": "physics/9610006",
    "authors": [
      "David Montgomery",
      "Jason W. Bates",
      "Shuojun Li"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "doi": "10.1063/1.869206",
    "title": "Toroidal Vortices in Resistive Magnetohydrodynamic Equilibria",
    "url": "https://arxiv.org/abs/physics/9610006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd13d93b-b62b-4cef-add9-68853da79677",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}