{
  "abstract": "Equations of state accurately describe hard-sphere thermodynamics but are generally considered to fail under nanoscale confinement. We show that this failure is geometric rather than thermodynamic: a closed-form, parameter-free mapping from apparent to effective packing fraction restores the accuracy of the Carnahan-Starling equation of state and, with it, the entire analytical thermodynamic framework, including free energies, wall pressures, chemical potentials, and the large-cavity surface response. Applied to overlapping anchored hard-sphere droplets, a geometry inherent to biomolecular force generation, it yields unmixing free energies and full distance-dependent force profiles in quantitative agreement with simulations from the dilute regime to above the bulk freezing transition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.25629",
  "author_total": 2,
  "authors": [
    {
      "name": "Jose M. G. Vilar"
    },
    {
      "name": "Leonor Saiz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/baxtd3ctaz5db.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.25629",
  "fulltext_url": null,
  "id": "baxtd3ctaz5db",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.25629",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "physics.chem-ph"
    ],
    [
      "openalex",
      "2204|Phase Equilibria and Thermodynamics"
    ]
  ],
  "openalex": "W7204483868",
  "pdf_url": "https://arxiv.org/pdf/2608.25629",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/baxtd3ctaz5db.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.25629",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.25629"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "arxiv:physics.chem-ph",
      "subfield": "physical"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Closed-form hard-sphere thermodynamics under nanoscale confinement: from equations of state to unmixing forces",
  "title_text": "Closed-form hard-sphere thermodynamics under nanoscale confinement: from equations of state to unmixing forces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/baxtd3ctaz5db",
  "venue": "arXiv",
  "versions": []
}