{
  "abstract": "Active particles on curved surfaces can become trapped along closed geodesics even without physical barriers. We show that escape from these geometric traps exposes a fundamental distinction between continuous and discrete reorientation. At high Péclet numbers, active Brownian particles escape efficiently through rotational diffusion, whereas run-and-tumble particles remain trapped much longer; at low Péclet numbers, both reduce to passive diffusion. Gaussian curvature controls escape by focusing or defocusing neighboring geodesics, producing distinct asymptotic scalings of the mean exit time.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09649",
  "author_total": 3,
  "authors": [
    {
      "name": "Yuzhu Chen"
    },
    {
      "name": "Vishal P. Patil"
    },
    {
      "name": "David Saintillan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d1a2t8at001yy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09649",
  "fulltext_url": null,
  "id": "d1a2t8at001yy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09649",
  "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"
    ],
    [
      "openalex",
      "3104|Micro and Nano Robotics"
    ]
  ],
  "openalex": "W7212120434",
  "pdf_url": "https://arxiv.org/pdf/2609.09649",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d1a2t8at001yy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.09649",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09649"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Geodesic Trapping and Escape of Active Particles on Curved Surfaces",
  "title_text": "Geodesic Trapping and Escape of Active Particles on Curved Surfaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/d1a2t8at001yy",
  "venue": "arXiv",
  "versions": []
}