{
  "abstract": "Analytical solutions to the three-dimensional ideal magnetohydrodynamic equilibrium equations $(\\nabla \\times \\vec{B}) \\times \\vec{B} = \\nabla p$ and $\\nabla \\cdot \\vec{B} = 0$ provide benchmarks for stellarator equilibrium codes. Two families of non-axisymmetric solutions were recently discovered by Landreman [arXiv:2609.26742] as counterexamples to Grad's conjecture, but both satisfy stellarator symmetry. Here, we generalize both families by introducing a symmetry-breaking parameter into each of the solutions, resulting in new non-axisymmetric solutions that break stellarator symmetry and reduce to the stellarator symmetric solutions when the newly introduced parameter is set to zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07304",
  "author_total": 4,
  "authors": [
    {
      "name": "Opal Issan"
    },
    {
      "name": "Jonathan Citrin"
    },
    {
      "name": "Matt Landreman"
    },
    {
      "name": "Brendan Tracey"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6xb7rnc0nqc9e.bib",
  "cited_by": 1,
  "doi": "10.48550/arxiv.2610.07304",
  "fulltext_url": null,
  "id": "6xb7rnc0nqc9e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07304",
  "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",
      "physics.plasm-ph"
    ],
    [
      "openalex",
      "3106|Magnetic confinement fusion research"
    ]
  ],
  "openalex": "W7221045811",
  "pdf_url": "https://arxiv.org/pdf/2610.07304",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6xb7rnc0nqc9e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07304",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07304"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Analytic non-axisymmetric 3D MHD equilibria without stellarator symmetry",
  "title_text": "Analytic non-axisymmetric 3D MHD equilibria without stellarator symmetry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/6xb7rnc0nqc9e",
  "venue": "arXiv",
  "versions": []
}