{
  "abstract": "Models of curvature-driven membrane sorting couple composition directly to membrane bending elasticity. Here we show that shape deformations can destabilize a homogeneous state without this composition-dependent mechanical coupling. We analyze the eigenspectrum of the Laplace-Beltrami operator on deformed spheres analytically, and verify it numerically. As the deformation amplitude increases, the spectral degeneracy breaks, and the lowest nonzero eigenvalue decreases substantially. Using Cahn-Hilliard dynamics, we show that this eigenvalue softening provides a purely geometric route to phase separation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16037",
  "author_total": 2,
  "authors": [
    {
      "name": "Avraham Moriel"
    },
    {
      "name": "Howard A. Stone"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2pt9afw33km68.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16037",
  "fulltext_url": null,
  "id": "2pt9afw33km68",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16037",
  "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"
    ],
    [
      "openalex",
      "1312|Lipid Membrane Structure and Behavior"
    ]
  ],
  "openalex": "W7221787917",
  "pdf_url": "https://arxiv.org/pdf/2610.16037",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2pt9afw33km68.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.16037",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16037"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Deformation-induced spectral softening drives phase separation on non-spherical membranes",
  "title_text": "Deformation-induced spectral softening drives phase separation on non-spherical membranes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/2pt9afw33km68",
  "venue": "arXiv",
  "versions": []
}