{
  "abstract": "We report Monte Carlo simulations of a continuous spin variant of the Blume-Capel model. We compute the phase diagrams in the crystal-field-temperature plane, as a function of the softness of the spins. We show that normalizing flows, a class of generative models capable of direct sampling without autocorrelation, are effective samplers across the phase diagram, including in the first-order transition region and in the vicinity of the tricritical point. Finite-size scaling analyses of flow samples locate the first- and second-order transitions as well as the tricritical point with accuracy comparable to canonical and extended-ensemble Monte Carlo.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20982",
  "author_total": 4,
  "authors": [
    {
      "name": "Ejaaz Merali"
    },
    {
      "name": "Ryan Larson"
    },
    {
      "name": "Ehsan Khatami"
    },
    {
      "name": "Richard T. Scalettar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ep11tqzrj8rat.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20982",
  "fulltext_url": null,
  "id": "ep11tqzrj8rat",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20982",
  "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.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7222596181",
  "pdf_url": "https://arxiv.org/pdf/2610.20982",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ep11tqzrj8rat.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20982",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20982"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "The Blume-Capel Model as a $ϕ^6$ Field Theory: A Monte Carlo and Flow Model Study",
  "title_text": "The Blume-Capel Model as a ϕ^6 Field Theory: A Monte Carlo and Flow Model Study",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/ep11tqzrj8rat",
  "venue": "arXiv",
  "versions": []
}