{
  "abstract": "FINDING: The Clausius-Duhem inequality (CDI) is the local, continuum form of the second law, imposing a monotonicity constraint on entropy production that acts as a topological barrier to phase transitions; the XY ferromagnet with random anisotropy exhibits disorder-driven phase transitions whose critical behavior is governed by the competition between continuous symmetry and quenched randomness. | MATH: CDI: \\( \\rho \\dot{\\eta} + \\nabla \\cdot (\\mathbf{q}/T) - \\rho r/T \\geq 0 \\), equivalently \\( \\dot{\\eta} \\geq -\\nabla \\cdot (\\mathbf{q}/T) + \\rho r/T \\). In terms of Helmholtz free energy \\( \\psi = e - T\\eta \\): \\( -\\rho(\\dot{\\psi} + \\eta \\dot{T}) + \\boldsymbol{\\sigma}:\\mathbf{D} - (\\mathbf{q}\\cdot\\nabla T)/T \\geq 0 \\). For the XY model: Hamiltonian \\( H = -J \\sum_{\\langle ij\\rangle} \\mathbf{S}_i \\cdot \\mathbf{S}_j - \\sum_i D_i (\\hat{n}_i \\cdot \\mathbf{S}_i)^2 \\), with random anisotropy axes \\( \\hat{n}_i \\). Order parameter \\( M = \\langle |\\sum_i \\mathbf{S}_i|/N \\rangle \\); susceptibilit\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e394b3jh7da9p.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431098",
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  "id": "e394b3jh7da9p",
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  "landing_url": "https://zenodo.org/records/23431098",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e394b3jh7da9p.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:22:05Z",
      "native_id": "23431098",
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      "url": "https://zenodo.org/records/23431098"
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  "subjects": [],
  "title": "Entropy Production Barrier Governs Disorder-Driven Phase Transitions in Random-Anisotropy XY Ferromagnets — E8 Intelligence Research",
  "title_text": "Entropy Production Barrier Governs Disorder-Driven Phase Transitions in Random-Anisotropy XY Ferromagnets — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:22:05Z",
  "url": "https://research.draconitic.com/paper/e394b3jh7da9p",
  "venue": "Zenodo",
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}