{
  "abstract": "Frequently, nonextensive systems are described through $q$-exponential functions, where the $q$-parameter determines how far a system is from equilibrium. In this work, we study systems constrained to $q-1\\ll1$ to describe systems near thermal equilibrium, and derive the probability density function and temperature fluctuations. To this end, we derive the series expansion of the $q$-exponential function, yielding a perturbative series that is a superposition of gamma distributions. On the other hand, the temperature fluctuations are expressed as a superposition of Dirac delta functions and their derivatives, meaning that the bulk of the system remains at a constant temperature, while point-temperature variations emerge, marking the system's departure from thermal equilibrium. The statistics of the temperature fluctuations exhibit a transition from a symmetric to a nonsymmetric distribution as the nonextensive parameter increases. These results provide evidence of the association between the emergence of nonextensivity and the symmetry breaking of temperature fluctuations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. E 114, 044117 (2026)",
  "arxiv": "2609.31521",
  "author_total": 5,
  "authors": [
    {
      "name": "D. Rosales Herrera"
    },
    {
      "name": "M. Y. Gallegos Ruiz"
    },
    {
      "name": "A. Fernández Téllez"
    },
    {
      "name": "J. R. Alvarado García"
    },
    {
      "name": "J. E. Ramírez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/basmgsz4kw1fk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31521",
  "fulltext_url": null,
  "id": "basmgsz4kw1fk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31521",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2609.31521",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/basmgsz4kw1fk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2609.31521",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31521"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Complexity drives the symmetry breaking of temperature fluctuations",
  "title_text": "Complexity drives the symmetry breaking of temperature fluctuations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/basmgsz4kw1fk",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/hmzl-jh2h",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}