{
  "abstract": "Bounds on entropy production convert limited observations into constraints on hidden dissipation. The Jensen bound expresses a lower bound on the total and subsystem entropy production rates of continuous stochastic systems in terms of mean coordinate rates alone. We show that the same convexity structure yields a complementary upper bound, inspired by Mercer's reflection inequality. For the quadratic entropy-production functional of overdamped Langevin dynamics, Mercer's reflection inequality is identical to the sharp Bhatia-Davis variance bound and coincides with the convex dual of the smallest affine majorant of the functional over the range of the local current. The two bounds yield a two-sided sandwich controlled solely by the mean drift and the extrema of the current, organized into a hierarchy of optimal bounds in which each further observation tightens the ceiling. The thermodynamic uncertainty relation supplies an independent fluctuation floor. We also treat position-dependent diffusion, underdamped dynamics and the tilted periodic potential, for which the weak-barrier series is obtained in closed form and the strong-barrier regime is solved asymptotically. We check the bounds numerically on the Brownian motor.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34112",
  "author_total": 2,
  "authors": [
    {
      "name": "Xiao-Kan Guo"
    },
    {
      "name": "Zhiqiang Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bm9gw3rdshssq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34112",
  "fulltext_url": null,
  "id": "bm9gw3rdshssq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34112",
  "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"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7223980526",
  "pdf_url": "https://arxiv.org/pdf/2610.34112",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bm9gw3rdshssq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34112",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34112"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Jensen-Mercer two-sided bounds for entropy production rate",
  "title_text": "Jensen-Mercer two-sided bounds for entropy production rate",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/bm9gw3rdshssq",
  "venue": "arXiv",
  "versions": []
}