{
  "abstract": "Disordered systems are very rich laboratories for exploring complex systems. In particular, disordered magnetic systems have been extremely important in the last five decades for understanding a wide range of phenomena. In this work, we use the Edwards-Anderson Hamiltonian to obtain the thermodynamic properties of disordered magnetic systems. In this way, we conduct a systematic investigation of magnetization, correlation functions, order parameter, and fractal dimensions, in function of disorder. In this context, the autocorrelation function for order--parameter fluctuations, introduced by Fisher ( Journal of Mathematical Physics 5, 944322 (1964)), provides an important mathematical framework for understanding the second-order phase transition at equilibrium. However, his analysis is restricted to a Euclidean space of dimension $d$, and an exponent $η$ is introduced to correct the spatial behavior of the correlation function at $T=T_c$. In recent work, Lima et al ( Phys. Rev. E 110, L062107 (2024)) demonstrated that at $T_c$ a fractal analysis is necessary for a complete description of the correlation function. We use Monte Carlo simulations to validate analytical results and to show how disorder alters critical exponents , giving rise to different universality classes. On the other hand, there is a subgroup of critical exponents and fractal dimensions that are invariant with disorder. This subgroup heralds a strong universality class.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.15441",
  "author_total": 5,
  "authors": [
    {
      "name": "Henrique A Lima"
    },
    {
      "name": "Kaue Hermann"
    },
    {
      "name": "Ismael S. S. Carrasco"
    },
    {
      "name": "Jairo R. L. de Almeida"
    },
    {
      "name": "Fernando A. Oliveira"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8qpt029crh9v8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.15441",
  "fulltext_url": null,
  "id": "8qpt029crh9v8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.15441",
  "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": "W7161571891",
  "pdf_url": "https://arxiv.org/pdf/2605.15441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8qpt029crh9v8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2605.15441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.15441"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Fractal signatures of strong universality in the disordered Ising model",
  "title_text": "Fractal signatures of strong universality in the disordered Ising model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/8qpt029crh9v8",
  "venue": "arXiv",
  "versions": []
}