{
  "abstract": "The dynamics of heavy quarks in the quark-gluon plasma is commonly described within a standard Langevin equation framework. In this work, we extend the conventional framework by using a fractional Langevin equation based on the Caputo derivative of order $α$ with $1<α\\leq 2$. We solve the fractional Langevin equation and derive the corresponding {\\textit {fractional fluctuation-dissipation theorem}} for the heavy quark thermalization in the quark-gluon plasma medium. We calculate the time evolution of the mean-squared momentum, mean-squared displacement, momentum distribution, energy loss, longitudinal momentum loss, transverse momentum broadening, and the nuclear suppression factor of the heavy quarks. The mean-squared momentum thermalizes to the same value for all $α$ at late times, in agreement with the fractional fluctuation-dissipation theorem, and the nuclear suppression factor shows a systematic $α$-dependence. The energy loss of an energetic heavy quark grows strongly with $α$. The time evolution of the heavy quark momentum distribution provides additional sensitivity to the fractional dynamics of the heavy quarks in the QGP medium.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26086",
  "author_total": 5,
  "authors": [
    {
      "name": "Jai Prakash"
    },
    {
      "name": "Mohammad Yousuf Jamal"
    },
    {
      "name": "Shanshan Cao"
    },
    {
      "name": "Guang-You Qin"
    },
    {
      "name": "Yifeng Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ks9wx9bzqjd8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26086",
  "fulltext_url": null,
  "id": "7ks9wx9bzqjd8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26086",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7223045253",
  "pdf_url": "https://arxiv.org/pdf/2610.26086",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ks9wx9bzqjd8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.26086",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26086"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Heavy-quark thermalization in the quark-gluon plasma via a fractional Langevin equation",
  "title_text": "Heavy-quark thermalization in the quark-gluon plasma via a fractional Langevin equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/7ks9wx9bzqjd8",
  "venue": "arXiv",
  "versions": []
}