{
  "annotation_id": "fb3ca1ea-f2fe-4692-970e-1a560e622f5c",
  "date_created": "2026-03-02T18:01:24.905000Z",
  "date_modified": "2026-03-02T18:01:24.905000Z",
  "file_hash": "ee4568b7d85eb25e877662fabb6eb5a5331fd58fcec494b7119108068d1a1b87",
  "private": false,
  "record": {
    "abstract": "The equilibrium of a cylindrical plasma with purely poloidal mass flow and\ncross section of arbitrary shape is investigated within the framework of the\nideal MHD theory. For the system under consideration it is shown that only\nincompressible flows are possible and, conscequently, the general two\ndimensional flow equilibrium equations reduce to a single second-order\nquasilinear partial differential equation for the poloidal magnetic flux\nfunction $\\psi$, in which four profile functionals of $\\psi$ appear. Apart from\na singularity occuring when the modulus of Mach number associated with the\nAlfv\\\u0027en velocity for the poloidal magnetic field is unity, this equation is\nalways elliptic and permits the construction of several classes of analytic\nsolutions. Specific exact equlibria for a plasma confined within a perfectly\nconducting circular cylindrical boundary and having i) a flat current density\nand ii) a peaked current density are obtained and studied.",
    "arxiv_id": "plasm-ph/9608002",
    "authors": [
      "G. N. Throumoulopoulos",
      "G. Pantis"
    ],
    "categories": [
      "plasm-ph",
      "physics.plasm-ph"
    ],
    "doi": "10.1088/0741-3335/38/10/009",
    "title": "Magnetohydrodynamic equilibria of a cylindrical plasma with poloidal   mass flow and arbitrary cross section shape",
    "url": "https://arxiv.org/abs/plasm-ph/9608002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "be405cef-222b-47d0-a5d4-b0a969c6c2d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}