{
  "abstract": "A simple symmetric random walk on a one-dimensional lattice is guaranteed to reach any target site, yet its mean first-passage time diverges. Here, we show that stochastic fluctuations in the jump rate can fundamentally alter this classic result. We find a phase transition in the mean first-passage time: sufficiently broad rate fluctuations render it finite, whereas weaker fluctuations leave it infinite. Our results demonstrate that temporal fluctuations in the jump rate---and hence in the diffusivity---can overcome spatial wandering and regularize otherwise divergent first-passage times.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26925",
  "author_total": 2,
  "authors": [
    {
      "name": "Bara Levit"
    },
    {
      "name": "Shlomi Reuveni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/atpwy1c5xekt5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26925",
  "fulltext_url": null,
  "id": "atpwy1c5xekt5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26925",
  "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.stat-mech"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7214238503",
  "pdf_url": "https://arxiv.org/pdf/2609.26925",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/atpwy1c5xekt5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.26925",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26925"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "First Passage in the Presence of Jump Rate Fluctuations: A Transition from Infinite to Finite Mean",
  "title_text": "First Passage in the Presence of Jump Rate Fluctuations: A Transition from Infinite to Finite Mean",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/atpwy1c5xekt5",
  "venue": "arXiv",
  "versions": []
}