{
  "abstract": "How the local energy transfer across scales in turbulence is encoded in the instantaneous deformation of fluid elements remains a fundamental question. We exploit the spherical geometry of the real-space energy cascade at length scale $\\ell$. An exact derivation shows that it can be decomposed locally by strain self-amplification and vortex stretching, with a coefficient equal to the specific moment of inertia $2/5(\\ell/2)^2$ of a spherical fluid neighborhood. Direct numerical simulations show that this contribution captures the dominant local transfer and defines a statistical boundary separating forward- and inverse-cascade events. A further longitudinal and transverse decomposition reveals that the longitudinal transfer underlying Kolmogorov's $4/5$ law is governed solely by strain self-amplification, whereas vortex stretching enters through the transverse component. These results establish a purely mechanical connection between turbulent energy cascade and the local rotational and deformational dynamics of fluid elements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11029",
  "author_total": 2,
  "authors": [
    {
      "name": "Weijie Zhang"
    },
    {
      "name": "Hanxun Yao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1bkxnsc5j7t21.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11029",
  "fulltext_url": null,
  "id": "1bkxnsc5j7t21",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11029",
  "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.flu-dyn"
    ],
    [
      "openalex",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7221150188",
  "pdf_url": "https://arxiv.org/pdf/2610.11029",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1bkxnsc5j7t21.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.11029",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11029"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Geometric Mechanics of Real-Space Energy Transfer in Turbulence",
  "title_text": "Geometric Mechanics of Real-Space Energy Transfer in Turbulence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/1bkxnsc5j7t21",
  "venue": "arXiv",
  "versions": []
}