{
  "abstract": "Higher-order Ehrenfest phase transitions are exceptionally rare and poorly understood. We present an exactly solvable one-dimensional model exhibiting a sequence of Ehrenfest transitions of arbitrary $n\\geq2$ order. These transitions occur without symmetry breaking and even the second-order transition lacks conventional critical behavior, although the density derivative of the correlation length diverges. Our results reveal a distinct class of noncritical phase transitions and help clarify the scope of the Ehrenfest classification.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26371",
  "author_total": 4,
  "authors": [
    {
      "name": "Sakineh Mizani"
    },
    {
      "name": "Szabolcs Varga"
    },
    {
      "name": "Martin Oettel"
    },
    {
      "name": "Péter Gurin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a7n3etz25ts7v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26371",
  "fulltext_url": null,
  "id": "a7n3etz25ts7v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26371",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7223041033",
  "pdf_url": "https://arxiv.org/pdf/2610.26371",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a7n3etz25ts7v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26371",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26371"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "An infinite sequence of higher order Ehrenfest transitions in a one-dimensional crystal",
  "title_text": "An infinite sequence of higher order Ehrenfest transitions in a one-dimensional crystal",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/a7n3etz25ts7v",
  "venue": "arXiv",
  "versions": []
}