{
  "abstract": "We investigate the effect of geometrical confinement on driven transport in anomalous media within the framework of the quenched trap model. The particle performs a biased random walk on a lattice, where quenched disorder introduces power-law distributed trapping times. We consider channels that are infinite along one direction and have a finite cross-section in the remaining $d-1$ directions. In the glassy regime, where $α=T/T_g<1$, we derive an analytical expression for the mean longitudinal displacement in the long-time and weak-force limits. We find the scaling $\\langle x_\\parallel(t)\\rangle \\propto F_\\parallel^αt^αΩ^{-(1-α)}$, where $F_\\parallel>0$ is the effective longitudinal force and $Ω$ is the number of sites in a transverse cross-section. Thus, the anomalous mobility is enhanced for narrower channels. Our analytical result applies to general Bravais lattices in $d$ dimensions with periodic transverse boundary conditions. Numerical simulations confirm the analytical predictions for different lattice geometries and show quantitative agreement even for channels with reflecting boundary conditions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35324",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuval Zippin"
    },
    {
      "name": "Stanislav Burov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/114682w6ke2by.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35324",
  "fulltext_url": null,
  "id": "114682w6ke2by",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35324",
  "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",
      "2505|Material Dynamics and Properties"
    ]
  ],
  "openalex": "W7223867451",
  "pdf_url": "https://arxiv.org/pdf/2610.35324",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/114682w6ke2by.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35324",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35324"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Anomalous Mobility Enhancement in Restricted Geometries",
  "title_text": "Anomalous Mobility Enhancement in Restricted Geometries",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/114682w6ke2by",
  "venue": "arXiv",
  "versions": []
}