{
  "abstract": "We consider a finite two-dimensional pinned harmonic chain with an interaction range that diverges with the system size and with conservative rotational noise. Under a joint scaling in which the interaction range diverges microscopically but vanishes macroscopically, we prove that the expected em- pirical energy measures converge to the unique measure-valued weak solution of the heat equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08138",
  "author_total": 2,
  "authors": [
    {
      "name": "Yipeng Lu"
    },
    {
      "name": "Wei Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/apneybvap6stq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08138",
  "fulltext_url": null,
  "id": "apneybvap6stq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08138",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
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      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7212043606",
  "pdf_url": "https://arxiv.org/pdf/2609.08138",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/apneybvap6stq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:49Z",
      "native_id": "2609.08138",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08138"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Energy diffusion in a pinned harmonic chain with free boundary condition and interactions of increasing range",
  "title_text": "Energy diffusion in a pinned harmonic chain with free boundary condition and interactions of increasing range",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/apneybvap6stq",
  "venue": "arXiv",
  "versions": []
}