{
  "abstract": "We present a high-resolution numerical study of the spin-1 Blume-Capel ferromagnet on the honeycomb lattice ($z=3$). Using the Wang-Landau algorithm to estimate the joint density of states $Ω(E_1,E_2)$ and field-mixing scaling, we map the first-order transition line and locate the tricritical point at $(Δ_t,T_t)=[1.4820(2),0.4022(7)]$. Independent Metropolis histogram reweighting for $L=36$ and $48$ yields a crossing temperature near $0.4039$, consistent with the Wang-Landau extrapolation. The field-mixing parameter is $r=-1.585(19)$, while the coexistence-line slope gives $r=-1.587(5)$. Normalizing by the zero-temperature field $Δ_0=zJ/2$, the results for honeycomb, square, and triangular lattices give $r/Δ_0$ between $-1.057$ and $-1.067$, about 6% larger in magnitude than the mean-field value. Simple-cubic estimates are compatible with this range but do not resolve dimensionality dependence. Finite-size scaling yields $y_t=1.795(7)$, consistent with the tricritical Ising value $9/5$, while the fourth-order cumulant scaling agrees with $y_g=4/5$. Deep in the first-order regime, the cumulant approaches the two-phase limit $U_Q\\to2/3$. Multicanonical simulations up to $L=64$ yield an interface tension exponent $μ=1.265(26)$, consistent with the tricritical prediction $(d-1)/y_g=5/4$. We also map the continuous phase boundary, obtaining $T_c(Δ=0)=1.157$, and identify crossover effects from Ising to tricritical scaling near the tricritical point.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11068",
  "author_total": 2,
  "authors": [
    {
      "name": "Eluiz C. M. Filho"
    },
    {
      "name": "Claudio J. DaSilva"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/018mmr73h4nm5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11068",
  "fulltext_url": null,
  "id": "018mmr73h4nm5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11068",
  "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.stat-mech"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7221100079",
  "pdf_url": "https://arxiv.org/pdf/2610.11068",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/018mmr73h4nm5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2610.11068",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11068"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "High-resolution mapping of the phase boundary of the honeycomb-lattice Blume--Capel ferromagnet",
  "title_text": "High-resolution mapping of the phase boundary of the honeycomb-lattice Blume--Capel ferromagnet",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/018mmr73h4nm5",
  "venue": "arXiv",
  "versions": []
}