{
  "abstract": "This paper studies the phase transition from an isotropic to a nematic liquid crystal driven by controlled cooling, motivated by the manufacturing of next-generation pharmaceutical drugs. Using the non-isothermal Ericksen model for liquid crystals with a variable degree of orientation, we formulate the problem as a stiff, quasilinear system of parabolic partial differential equations. We establish a consistent thermodynamic framework, prove the well-posedness of the system, and conduct a rigorous asymptotic and numerical scaling analysis of the moving phase boundary in a cylindrical cell subjected to bottom-wall convective cooling. Our analysis identifies a critical sample thickness that separates two distinct physical regimes. Below this threshold, the transition follows the cooling dynamics and the material remains quasi-isothermal. Above the thickness threshold, bulk thermal diffusion governs the dynamics, imposing a dominant thermal delay characterized by a concave quadratic propagation front. These results demonstrate that scaling from laboratory characterization to industrial production fundamentally alters the spatial thermal history of the material, providing a predictive mathematical framework to optimize cooling protocols for kinetic arrest.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00273",
  "author_total": 5,
  "authors": [
    {
      "name": "Pei Liu"
    },
    {
      "name": "Debanjan Banerjee"
    },
    {
      "name": "Daniel Siebel-Cortopassi"
    },
    {
      "name": "Sichen Song"
    },
    {
      "name": "Maria-Carme Calderer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2davgfnz60hnx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00273",
  "fulltext_url": null,
  "id": "2davgfnz60hnx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00273",
  "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.soft"
    ],
    [
      "arxiv",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00273",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2davgfnz60hnx.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00273",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00273"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Modeling and Analysis of Cooling Induced Isotropic Nematic Transitions in Pharmaceutical Liquid Crystals",
  "title_text": "Modeling and Analysis of Cooling Induced Isotropic Nematic Transitions in Pharmaceutical Liquid Crystals",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/2davgfnz60hnx",
  "venue": "arXiv",
  "versions": []
}