{
  "abstract": "Cutting and shuffling (CS) rearranges fluid without stretching, but homogenisation requires diffusion (D); this interaction is not well understood. We show that CSD is a coarsening process, with scale $\\bar\\ell=L(n_c\\mathrm{Pe}/2)^{-1/3}$ rather than the Batchelor scale, and that cutting acts as a fractional Laplacian in wavenumber, giving the exact mixing rate $γ=2^{1/3}|a_1'|n_c^{2/3}λ\\mathrm{Pe}^{-1/3}$ for $n_c$ cuts per event at rate $λ$, with $a_1'=-1.0188\\dots$ the first zero of $\\mathrm{Ai}'$. This holds in any dimension for random and deterministic protocols, extends to finite-time mixing, and places CSD in a known non-equilibrium universality class.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35979",
  "author_total": 3,
  "authors": [
    {
      "name": "Daniel Lester"
    },
    {
      "name": "Tanguy LeBorgne"
    },
    {
      "name": "Joris Heyman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/at6ahj2pwh0d1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35979",
  "fulltext_url": null,
  "id": "at6ahj2pwh0d1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35979",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7224084007",
  "pdf_url": "https://arxiv.org/pdf/2610.35979",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/at6ahj2pwh0d1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.35979",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35979"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Cutting, Shuffling and Diffusion as a Coarsening Process",
  "title_text": "Cutting, Shuffling and Diffusion as a Coarsening Process",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/at6ahj2pwh0d1",
  "venue": "arXiv",
  "versions": []
}