{
  "abstract": "The description of macroscopic properties in out-of-equilibrium amorphous solids such as gels and glasses, typically processed under finite cooling rates, remains a fundamental challenge for modern statistical physics. In this work, we employ the Non-Equilibrium Self-Consistent Generalized Langevin Equation (NESCGLE) theory to construct a microscopic description of the structural and calorimetric glass transition under continuous cooling. Building upon the microscopic Onsager-Machlup interpretation of Narayanaswamy's material time (the inner clock $u(t)$) [J.Chem.Phys. 156, 244506 (2022)], we recover Tool's fictive temperature $T_f$ directly from the evolving spatial pair correlations and show that wavenumber dispersion naturally generalizes the classical scalar $T_f$ into a continuous mode spectrum governed by de Gennes narrowing at the primary cage peak. Across wide variations in cooling rate down to the quasi-static limit, the theory yields first-principles non-equilibrium Kauzmann diagrams for the two-body excess entropy that dynamically avert the Kauzmann crisis above the ideal dynamic arrest temperature $T_c$, while predicting sigmoidal relaxational heat-capacity steps consistent with computer simulations and calorimetry. Finally, we extract the cooling-rate-dependent glass transition temperature $T_g(q)$ from both equal-area integrals and differential heat-capacity landmarks, demonstrating that its asymptotic approach toward $T_c$ obeys a critical power-law scaling governed directly by the equilibrium dynamic arrest exponent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00382",
  "author_total": 3,
  "authors": [
    {
      "name": "R. Peredo-Ortiz"
    },
    {
      "name": "M. Medina-Noyola"
    },
    {
      "name": "L. F. Elizondo-Aguilera"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eyjz98jxw1x7n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00382",
  "fulltext_url": null,
  "id": "eyjz98jxw1x7n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00382",
  "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.soft"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00382",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eyjz98jxw1x7n.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00382",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00382"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Non-Equilibrium Statistical Mechanics of Glass-Forming Liquids under Continuous Cooling: Microscopic Inner Clocks, Fictive Temperatures, and Kauzmann Diagrams",
  "title_text": "Non-Equilibrium Statistical Mechanics of Glass-Forming Liquids under Continuous Cooling: Microscopic Inner Clocks, Fictive Temperatures, and Kauzmann Diagrams",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/eyjz98jxw1x7n",
  "venue": "arXiv",
  "versions": []
}