{
  "abstract": "Active microrheology probes a crowded medium by forcing a tracer and measuring its response. In single-file transport, where particles cannot overtake, a constant force $F$ produces a subballistic displacement $\\langle X_t\\rangle\\simeq \\sqrt{t}\\,ξ(F)$ together with a persistent bath deformation. Despite decades of work, the exact nonlinear response at arbitrary force has remained confined to a few special solvable models. Here we remove this restriction by combining recent advances in hydrodynamic transport coefficients, a pressure-balance formulation of the local drive, and single-file duality, which eliminates the resulting moving boundary. This yields a closed exact boundary-value problem for general diffusive single files, determining both $ξ(F)$ and the full density profile. For overdamped Brownian particles with general interactions, all microscopic interaction details enter only through the equilibrium equation of state, bringing realistic interacting systems, including finite-width quasi-one-dimensional channels, within exact reach. The solution also reveals universal global laws; in particular, the bath-density dipole is fixed by the applied force independently of the interaction potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18733",
  "author_total": 2,
  "authors": [
    {
      "name": "Aurélien Grabsch"
    },
    {
      "name": "Olivier Bénichou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b9cppq7yssb4g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18733",
  "fulltext_url": null,
  "id": "b9cppq7yssb4g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18733",
  "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"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7213523954",
  "pdf_url": "https://arxiv.org/pdf/2609.18733",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b9cppq7yssb4g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.18733",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18733"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Exact Nonlinear Active Microrheology in Diffusive Single-File Systems",
  "title_text": "Exact Nonlinear Active Microrheology in Diffusive Single-File Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/b9cppq7yssb4g",
  "venue": "arXiv",
  "versions": []
}