{
  "abstract": "We investigate the influence of current helicity on the turbulent magnetic diffusivity $β$ using three complementary derivations of the $α$ and $β$ coefficients, based on the large-scale magnetic field $\\overline{\\mathbf{B}}$, the turbulent velocity $\\mathbf{u}$, and the turbulent magnetic field $\\mathbf{b}$. Applying these coefficients to raw DNS data, we reconstruct $\\overline{\\mathbf{B}}$ and compare the results with the original simulations. In the kinematic regime all models agree well with the DNS data. In the nonlinear regime, however, $β_{\\mathrm{vv-vw}}$ alone produces unbounded growth of $\\overline{\\mathbf{B}}$. Including the contribution from turbulent magnetic fields ($β_{\\mathrm{bb+jb}}$) suppresses this unphysical growth and restores agreement with the DNS results. We find that kinetic helicity drives $β$ more negative, while current helicity shifts it back toward zero. Weighted combinations of the coefficients further show that the $β$ effect dominates the evolution of $\\overline{\\mathbf{B}}$ throughout, whereas the $α$ effect becomes important mainly for sustaining the field in the nonlinear regime. The corresponding IDL analysis scripts are provided to facilitate practical implementation of the theoretical models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09767",
  "author_total": 1,
  "authors": [
    {
      "name": "Kiwan Park"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8avcn5k21ge8c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09767",
  "fulltext_url": null,
  "id": "8avcn5k21ge8c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09767",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.SR"
    ],
    [
      "arxiv",
      "physics.plasm-ph"
    ],
    [
      "openalex",
      "3103|Solar and Space Plasma Dynamics"
    ]
  ],
  "openalex": "W7212182725",
  "pdf_url": "https://arxiv.org/pdf/2609.09767",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8avcn5k21ge8c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.09767",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09767"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.SR",
      "subfield": "stellar"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Connecting Dynamo Theory with DNS Data: A Computational Analysis of $α$ and $β$ effects",
  "title_text": "Connecting Dynamo Theory with DNS Data: A Computational Analysis of α and β effects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/8avcn5k21ge8c",
  "venue": "arXiv",
  "versions": []
}