{
  "abstract": "We derive a distance between thermodynamic states from a positive Hermitian transport tensor within a mesoscopic canonical model. An exact first-order factorization of the evolution generator gives a commutator norm and the metric $G=2g$, where $g$ denotes the symmetric transport tensor. Gradients of the antisymmetric tensor can change the evolution, but they leave this distance unchanged. The construction allows coordinate-dependent coefficients. For constant Onsager coefficients, a Clifford representation gives the same metric. In a two-channel thermoelectric system, the ratio of normalized principal distances is $\\sqrt{1+ZT}+\\sqrt{ZT}$. Transport coupling thus fixes the anisotropy of this metric. The construction requires neither an independent metric nor a physical spin variable.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16752",
  "author_total": 1,
  "authors": [
    {
      "name": "Giorgio SONNINO"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8bwpdbjgj41n0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16752",
  "fulltext_url": null,
  "id": "8bwpdbjgj41n0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16752",
  "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.mes-hall"
    ],
    [
      "openalex",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7221752902",
  "pdf_url": "https://arxiv.org/pdf/2610.16752",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8bwpdbjgj41n0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.16752",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16752"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Transport Determines Spectral Distance in Mesoscopic Thermodynamics",
  "title_text": "Transport Determines Spectral Distance in Mesoscopic Thermodynamics",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:17Z",
  "url": "https://research.draconitic.com/paper/8bwpdbjgj41n0",
  "venue": "arXiv",
  "versions": []
}