{
  "abstract": "For an underdamped particle driven by a constant non-conservative force across a periodic potential in one spatial dimension at finite temperature, numerical studies have shown that the differential mobility is non-negative. Here, an analytical proof will be given that is based on expressing the differential mobility by the long-time mean position of a marginally stable harmonic oscillator subject to noise in its stiffness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21833",
  "author_total": 1,
  "authors": [
    {
      "name": "Udo Seifert"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0exe9bmj4s5cd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21833",
  "fulltext_url": null,
  "id": "0exe9bmj4s5cd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21833",
  "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",
      "3109|stochastic dynamics and bifurcation"
    ]
  ],
  "openalex": "W7213883969",
  "pdf_url": "https://arxiv.org/pdf/2609.21833",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0exe9bmj4s5cd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:03Z",
      "native_id": "2609.21833",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21833"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Non-negative differential mobility of one-dimensional underdamped Langevin dynamics: Proof via mapping to a marginally stable oscillator",
  "title_text": "Non-negative differential mobility of one-dimensional underdamped Langevin dynamics: Proof via mapping to a marginally stable oscillator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:03Z",
  "url": "https://research.draconitic.com/paper/0exe9bmj4s5cd",
  "venue": "arXiv",
  "versions": []
}