{
  "abstract": "We study a slow heat-driven flow in a gas of elastically colliding hard disks confined to a long channel. The initial state consists of two regions with large temperature and density contrasts but nearly equal pressures, leading to a low-Mach-number, nearly isobaric evolution. In the dilute limit, the corresponding isobaric hydrodynamic theory reduces to a previously known ideal-gas description. We extend this theory to finite densities by incorporating a non-ideal equation of state of a hard-disk fluid, and solve the resulting one-dimensional equations numerically. Finite-density effects produce appreciable deviations from the ideal-gas prediction. We then test the theory directly against event-driven molecular dynamics simulations of hard disks and find very good agreement in both the dilute and finite-density regimes. The results provide, to our knowledge, the first particle-level test of isobaric gas dynamics of a strongly inhomogeneous cooling flow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.00449",
  "author_total": 3,
  "authors": [
    {
      "name": "Amit Kumar"
    },
    {
      "name": "Abhishek Dhar"
    },
    {
      "name": "Baruch Meerson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/25v9v8mh6zt1m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.00449",
  "fulltext_url": null,
  "id": "25v9v8mh6zt1m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.00449",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7167040778",
  "pdf_url": "https://arxiv.org/pdf/2607.00449",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/25v9v8mh6zt1m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:53Z",
      "native_id": "2607.00449",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.00449"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Slow heat-driven flow in a gas of hard disks",
  "title_text": "Slow heat-driven flow in a gas of hard disks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:53Z",
  "url": "https://research.draconitic.com/paper/25v9v8mh6zt1m",
  "venue": "arXiv",
  "versions": []
}