{
  "abstract": "We determine the Boltzmann--Grad limit of the Ehrenfest ``wind-tree'' model with a periodic configuration of polyhedral scatterers. The central result is a loss-of-memory effect in dimension $d\\geq 3$ for a generic choice of polyhedron. This yields a Markovian limiting transport process on an extended state space and a generalised linear Boltzmann equation for the time evolution of the particle density.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04371",
  "author_total": 2,
  "authors": [
    {
      "name": "Christopher Lutsko"
    },
    {
      "name": "Jens Marklof"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dm0zcm79k2fr6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04371",
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  "id": "dm0zcm79k2fr6",
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  "landing_url": "https://arxiv.org/abs/2609.04371",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "math-ph"
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      "arxiv",
      "math.DS"
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  "pdf_url": "https://arxiv.org/pdf/2609.04371",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dm0zcm79k2fr6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:14Z",
      "native_id": "2609.04371",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04371"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers",
  "title_text": "Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/dm0zcm79k2fr6",
  "venue": "arXiv",
  "versions": []
}