{
  "abstract": "Resolving the anomalous conductivity exponent of the symmetric $β$-Fermi--Pasta--Ulam--Tsingou chain by molecular dynamics can require very large systems because of long finite-size crossovers and thermal-contact resistance. Motivated by this computational challenge, we derive a long-wavelength continuum description and investigate whether the kinetic-theory scaling $κ\\propto L^{2/5}$ becomes accessible with a moderate number of numerical degrees of freedom. The nonlinear elastic field retains the cubic stress of the microscopic interaction and exchanges heat with Langevin reservoirs. A flux-conservative spatial discretization constructs the force and energy current from the same stress, providing a consistent interior transport estimator. For $L>8$, corresponding to approximately $10^3$ mesh nodes and above at the reference resolution, the fitted exponent is $0.399\\pm0.004$. Mesh refinement supports the stability of this exponent between the two finer resolutions, although the conductivity amplitude remains resolution-dependent. The main result is thus an accessible finite-size regime near $2/5$, rather than convergence of the absolute conductivity as the mesh spacing vanishes. This formulation provides a practical route to studying anomalous transport in anharmonic systems and a conservative continuum framework for investigating energy flow in nonlinear elastic media.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09405",
  "author_total": 3,
  "authors": [
    {
      "name": "Henrique Santos Lima"
    },
    {
      "name": "Matheus M. R. Poltronieri Martins"
    },
    {
      "name": "Lucas Reis e Silva"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ev6pntzq7r1td.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09405",
  "fulltext_url": null,
  "id": "ev6pntzq7r1td",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09405",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "physics.class-ph"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "physics.pop-ph"
    ],
    [
      "openalex",
      "2505|Thermal properties of materials"
    ]
  ],
  "openalex": "W7221022616",
  "pdf_url": "https://arxiv.org/pdf/2610.09405",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ev6pntzq7r1td.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.09405",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09405"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Heat Transport of the $β$-Fermi--Pasta--Ulam--Tsingou chain in the long-wave limit",
  "title_text": "Heat Transport of the β-Fermi--Pasta--Ulam--Tsingou chain in the long-wave limit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/ev6pntzq7r1td",
  "venue": "arXiv",
  "versions": []
}