{
  "abstract": "We investigate anomalous heat transport in the one-dimensional $β$-Fermi--Pasta--Ulam--Tsingou chain in the weakly anharmonic regime using large-scale equilibrium molecular dynamics. By resolving the heat current into phonon-mode contributions, we show that its long-time autocorrelation is controlled by diagonal mode correlations, whose decay is quantitatively determined by the corresponding phonon damping rates. Extrapolation to the thermodynamic limit gives $Γ_k \\propto (βT)^{4/3} k^{5/3}$, with a subleading $k^2$ correction. The latter produces an extended pre-asymptotic regime, $C(t) \\sim t^{-4/5}$, before the asymptotic decay $C(t) \\sim t^{-3/5}$ is reached, leading to $κ(N) \\sim N^{2/5} + O(N^{1/5})$. At weak anharmonicity, off-diagonal mode correlations persist up to a characteristic time $τ_{\\mathrm{od}} \\sim (βT)^{-2}$, while increasingly large systems are required to resolve the long-wavelength phonon contribution. Weak anharmonicity therefore does not introduce a distinct asymptotic transport mechanism, but shifts the onset of the phonon-dominated regime to progressively longer times and larger length scales.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09936",
  "author_total": 4,
  "authors": [
    {
      "name": "Kiratholly Nandakumar Madhav Sharma"
    },
    {
      "name": "Stefano Mossa"
    },
    {
      "name": "Jean-Louis Barrat"
    },
    {
      "name": "Markus Holzmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6kmg5ajb805pw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09936",
  "fulltext_url": null,
  "id": "6kmg5ajb805pw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09936",
  "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"
    ],
    [
      "openalex",
      "2505|Thermal properties of materials"
    ]
  ],
  "openalex": "W7220902174",
  "pdf_url": "https://arxiv.org/pdf/2610.09936",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6kmg5ajb805pw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.09936",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09936"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Heat transport in weakly anharmonic Fermi-Pasta-Ulam-Tsingou chains",
  "title_text": "Heat transport in weakly anharmonic Fermi-Pasta-Ulam-Tsingou chains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/6kmg5ajb805pw",
  "venue": "arXiv",
  "versions": []
}