{
  "abstract": "We investigate the thermodynamic geometry of an ideal quantum gas obeying inclusion statistics, characterized by a negative statistical parameter $g < 0$. In this framework the grand-canonical partition function admits a finite maximum fugacity, and the thermodynamic scalar curvature $R$ is strictly positive for all $g < 0$, reflecting effective attractive statistical interactions analogous to those of a bosonic system. As the fugacity approaches its maximum value, $R$ diverges, signaling a phase transition of the Bose-Einstein condensation type. A key distinction from the ordinary ideal Bose gas is that the condensation temperature is elevated relative to the bosonic case, and finite-temperature condensation occurs even in the dimensional regime $1/2 < D/σ\\leq 1$ where standard bosons do not condense, while for $D/σ\\leq 1/2$ the transition temperature vanishes. Three independent criteria; divergence of $R$, the maximum fugacity singularity, and the non-analytic cusp in the specific heat, coincide at the same condensation point, confirming the thermodynamic consistency of the transition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13787",
  "author_total": 5,
  "authors": [
    {
      "name": "M. H. Naghizadeh Ardabili"
    },
    {
      "name": "Omid Yahyayi Monem"
    },
    {
      "name": "Habib Esmaili"
    },
    {
      "name": "Zahra Ebadi"
    },
    {
      "name": "Hosein Mohammadzadeh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ew0thcg3p0gw5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13787",
  "fulltext_url": null,
  "id": "ew0thcg3p0gw5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13787",
  "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",
      "3109|Statistical Mechanics and Entropy"
    ]
  ],
  "openalex": "W7213308496",
  "pdf_url": "https://arxiv.org/pdf/2609.13787",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ew0thcg3p0gw5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.13787",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13787"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Thermodynamic geometry of inclusion statistics",
  "title_text": "Thermodynamic geometry of inclusion statistics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/ew0thcg3p0gw5",
  "venue": "arXiv",
  "versions": []
}