{
  "abstract": "Near equilibrium, the Boltzmann distribution is corrected by the transient irreversible entropy flux, a result known as the McLennan formula. By expanding around equiaccessible steady states instead, we derive an analogue that can hold arbitrarily far from equilibrium. At zeroth order, steady-state occupation is determined solely by local escape rates, yielding a strong form of the active-matter principle of \"low rattling.\" The first-order correction measures the impact of traffic imbalances on the accessibility of each state, marking the onset of nonlocal determinants of relative occupation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26755",
  "author_total": 1,
  "authors": [
    {
      "name": "Jacob Calvert"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/57m7hhhqr52m5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26755",
  "fulltext_url": null,
  "id": "57m7hhhqr52m5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26755",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7223020618",
  "pdf_url": "https://arxiv.org/pdf/2610.26755",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/57m7hhhqr52m5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.26755",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26755"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A McLennan formula for equiaccessible steady states",
  "title_text": "A McLennan formula for equiaccessible steady states",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/57m7hhhqr52m5",
  "venue": "arXiv",
  "versions": []
}