{
  "abstract": "We conduct a numerical study of a generalization of the Blume-Capel model in which the crystal field $D_i$, which controls the local vacancy density, is site dependent rather than uniform. We employ Markov Chain Monte Carlo to compute the shifted phase transition line $T_c$ as a function of the width $σ$ of a gaussian distribution $P(D_i) \\sim \\exp( -(D_i - \\bar{D})^2/2 σ^2)$ at fixed $\\bar{D}$. We characterize how the presence of this on-site Gaussian disorder reduces $T_c$ across the second order transition line, and discuss how our results suggest that $T_c$ remains finite even at large values of $σ$. We also determine the effects of disorder on the tricritical point of the conventional, uniform, Blume-Capel model, finding that it significantly suppresses the first-order phase transition, eliminating it entirely at large values of $σ$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01090",
  "author_total": 6,
  "authors": [
    {
      "name": "Kimberly J. Silverman"
    },
    {
      "name": "Daria Lhommedieu"
    },
    {
      "name": "Alykhan Rajan"
    },
    {
      "name": "Kathryn A. Cooper"
    },
    {
      "name": "Richard T. Scalettar"
    },
    {
      "name": "Eduardo Ibarra-García-Padilla"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9axvmma45nt3s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01090",
  "fulltext_url": null,
  "id": "9axvmma45nt3s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01090",
  "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.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7216494021",
  "pdf_url": "https://arxiv.org/pdf/2610.01090",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9axvmma45nt3s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.01090",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01090"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Effects of on-site Gaussian disorder in the ferromagnetic Blume Capel model",
  "title_text": "Effects of on-site Gaussian disorder in the ferromagnetic Blume Capel model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/9axvmma45nt3s",
  "venue": "arXiv",
  "versions": []
}