{
  "abstract": "Using fully coupled two-way simulations combining the vortex filament model with the Navier--Stokes equations, we discover that quantized vortices in superfluid $^4$He are systematically rolled up into coherent bundles within normal-fluid vortex tubes. Although co-rotating quantized vortices do not aggregate spontaneously, mutual friction with the normal fluid actively drives their bundling, directly inheriting the spatial hierarchy of classical turbulence. Mutual friction excites high-wavenumber normal-fluid vortex tubes adjacent to quantized vortices, while the superfluid forms a nested structure of thick low-wavenumber outer tubes and fine high-wavenumber inner tubes around the vortex lines. A distinct time lag between superfluid kinetic energy and dissipation fuels the energy cascade, giving rise to Kolmogorov's $k^{-5/3}$ spectrum. Crucially, bundle lifetimes are governed by the ratio of the local coupling time scale $t_\\mathrm{cl}$ to the Kolmogorov dissipation time scale $τ_η$ ($t_\\mathrm{cl}/τ_η< 20$), leading to enhanced thermal stability at higher temperatures. These findings establish a unified mechanism for two-fluid multiscale vortex organization.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19577",
  "author_total": 3,
  "authors": [
    {
      "name": "Hiromichi Kobayashi"
    },
    {
      "name": "Makoto Tsubota"
    },
    {
      "name": "Rio Yokota"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/anbbx38930r73.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19577",
  "fulltext_url": null,
  "id": "anbbx38930r73",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19577",
  "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",
      "cond-mat.other"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "3107|Quantum, superfluid, helium dynamics"
    ]
  ],
  "openalex": "W7222005662",
  "pdf_url": "https://arxiv.org/pdf/2610.19577",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/anbbx38930r73.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.19577",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19577"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.other",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Two-Way Coupled Dynamics of Quantized Vortex Bundle Formation in Spatially Periodic Normal-Fluid Turbulence",
  "title_text": "Two-Way Coupled Dynamics of Quantized Vortex Bundle Formation in Spatially Periodic Normal-Fluid Turbulence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/anbbx38930r73",
  "venue": "arXiv",
  "versions": []
}