{
  "abstract": "We investigate the dynamics of the Fermi-Pasta-Ulam-Tsingou chain with long-wavelength random initial data. When the energy per particle is small, thermal equilibrium is not reached on a fast timescale, and the system enters prethermalization. The formation of the prethermal state is characterized by the development of a Burgers-type shock and the onset of a turbulentlike spectrum with a time dependent exponent ζ(t) in the inertial range. We perform a significant step forward by demonstrating that these features are robust under generic long-wavelength random initial conditions. By employing advanced probabilistic techniques inspired by the works of Dudley and Talagrand, we derive a sharp asymptotic expression for the average shock time in the thermodynamic limit. For large p, this time scales as (psqrt[logp])^{-1}, where p is the number of excited modes, proving that it is an intensive quantity up to a logarithmic correction in the size of the system.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2511.07664",
  "author_total": 5,
  "authors": [
    {
      "name": "Matteo Gallone"
    },
    {
      "name": "Ricardo Grande"
    },
    {
      "name": "Antonio Ponno"
    },
    {
      "name": "Stefano Ruffo"
    },
    {
      "name": "Erwan Druais"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8bs7812t50n74.bib",
  "cited_by": 1,
  "doi": "10.1103/qxzs-1t1l",
  "fulltext_url": null,
  "id": "8bs7812t50n74",
  "issns": [
    "0031-9007",
    "1079-7114"
  ],
  "landing_url": "https://hal.science/hal-05773710v1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "3109|Nonlinear Waves and Solitons"
    ]
  ],
  "openalex": "W4416189358",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-27",
  "publisher": "American Physical Society",
  "ris": "https://research.draconitic.com/paper/8bs7812t50n74.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:45Z",
      "native_id": "hal-05773710",
      "source": "hal",
      "url": "https://hal.science/hal-05773710v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Nonlinear Waves and Solitons",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Random Initial Data and Average Shock Time in the Fermi-Pasta-Ulam-Tsingou Chain",
  "title_text": "Random Initial Data and Average Shock Time in the Fermi-Pasta-Ulam-Tsingou Chain",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:45Z",
  "url": "https://research.draconitic.com/paper/8bs7812t50n74",
  "venue": "Physical Review Letters",
  "versions": []
}