{
  "abstract": "Resistive evolution of a three-dimensional magnetostatic equilibrium requires compatibility among induction, momentum balance and thermal transport. We construct exact thermoviscous evolutions of a non-axisymmetric magnetic torus with nonzero magnetic shear using a path-dependent entropic Lagrangian (PDEL) formulation. A symmetric positive-definite resistivity tensor is constructed so that the resistive differential expression preserves the spatial form of a known sheared toroidal equilibrium. Homogeneous expansion is coupled to an ideal gas and positive bulk viscosity in the absence of body forces and volumetric heat supply. For a one-temperature gas with heat-capacity ratio $5/3$, a $T^{-2/3}$ resistivity prefactor gives elementary time dependence for all fields. A two-temperature extension admits a $T_e^{-3/2}$ prefactor and positive interspecies heat exchange on a finite state interval. Material magnetic flux decays while the rotational-transform profile is preserved. Both branches satisfy local total-energy conservation, moving-boundary power balance and material transport of dissipation histories. A seed-specific obstruction excludes positive scalar resistivity along the same homologous trajectory; the two-temperature exchange law has a nonremovable endpoint pole. Symbolic identities, independent Cartesian differentiation and surface--volume quadrature verify these results. The solutions provide coupled MHD benchmarks with passive, inverse-designe",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37305",
  "author_total": 1,
  "authors": [
    {
      "name": "Huilong Ren"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4x2trwwkck76t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37305",
  "fulltext_url": null,
  "id": "4x2trwwkck76t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37305",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Magnetic confinement fusion research"
    ]
  ],
  "openalex": "W7224117543",
  "pdf_url": "https://arxiv.org/pdf/2610.37305",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4x2trwwkck76t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37305",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37305"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "A path-dependent entropic Lagrangian formulation for exact thermoviscous evolution of sheared magnetic tori with anisotropic resistivity",
  "title_text": "A path-dependent entropic Lagrangian formulation for exact thermoviscous evolution of sheared magnetic tori with anisotropic resistivity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/4x2trwwkck76t",
  "venue": "arXiv",
  "versions": []
}