{
  "abstract": "Elliptic flow ($v_2$) is the most prominent signature of collective flow in heavy-ion collisions. Its event-by-event fluctuations are accurately measured in Pb+Pb collisions at the LHC. They originate from the early stages of the collision, and are usually understood in terms of linear response to the initial anisotropy $\\varepsilon_2$, with a small cubic correction. We reveal deviations from this scenario on the basis of extensive event-by-event hydrodynamic simulations. We analyze the hydrodynamic response order by order in the cumulant expansion of $\\varepsilon_2$ and $v_2$ fluctuations. We carry out this expansion in the \"intrinsic frame\" where the magnitude and direction of the impact parameter are fixed. We find that the asymmetry of $v_2$ fluctuations is opposite to that of $\\varepsilon_2$ fluctuations. We also find that the response to $\\varepsilon_2$ fluctuations is larger by $\\approx 10-20\\%$ than the response to the average geometry. This effect, which is not explained by the cubic response, increases the splitting between $v_2\\{2\\}$ and $v_2\\{4\\}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26621",
  "author_total": 3,
  "authors": [
    {
      "name": "Andreas Kirchner"
    },
    {
      "name": "Mubarak Alqahtani"
    },
    {
      "name": "Jean-Yves Ollitrault"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3m9bj9aq9z9qq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26621",
  "fulltext_url": null,
  "id": "3m9bj9aq9z9qq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26621",
  "language": "en",
  "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",
      "hep-ph"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.hphe"
    ],
    [
      "hal",
      "1.phys.nucl"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7223030235",
  "pdf_url": "https://arxiv.org/pdf/2610.26621",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3m9bj9aq9z9qq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26621",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26621"
    },
    {
      "first_seen": "2026-11-04T12:20:53Z",
      "native_id": "hal-05850420",
      "source": "hal",
      "url": "https://hal.science/hal-05850420v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Fluctuations of $v_2$ versus fluctuations of $\\varepsilon_2$: Beyond linear and cubic response",
  "title_text": "Fluctuations of v_2 versus fluctuations of ε_2: Beyond linear and cubic response",
  "type": "preprint",
  "updated_at": "2026-11-05T12:20:12Z",
  "url": "https://research.draconitic.com/paper/3m9bj9aq9z9qq",
  "venue": "arXiv",
  "versions": []
}