{
  "abstract": "Frictional relaxation after a sudden velocity change underlies the phenomenological laws that describe the stability of steady sliding and of seismic faults. To connect this relaxation with measurable statistics of microscopic contacts, we introduce a minimal model incorporating logarithmic aging of contact forces and a power-law contact-size distribution reflecting fractal interface roughness, and derive the relaxation function analytically. Depending on the power-law exponent $α$, the intermediate-time response exhibits a plateau, logarithmic decay, or power-law decay, in contrast to the exponential decay assumed in the phenomenological laws. The theory provides experimentally testable links between microscopic contact statistics and macroscopic frictional relaxation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06998",
  "author_total": 1,
  "authors": [
    {
      "name": "Ryudo Suzuki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d3cnzx1t9fbh4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06998",
  "fulltext_url": null,
  "id": "d3cnzx1t9fbh4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06998",
  "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.dis-nn"
    ],
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "2211|Adhesion, Friction, and Surface Interactions"
    ]
  ],
  "openalex": "W7212025162",
  "pdf_url": "https://arxiv.org/pdf/2609.06998",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d3cnzx1t9fbh4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06998",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06998"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Relaxation of Sliding Friction from a Statistical Model of Aging Contacts",
  "title_text": "Relaxation of Sliding Friction from a Statistical Model of Aging Contacts",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/d3cnzx1t9fbh4",
  "venue": "arXiv",
  "versions": []
}