{
  "abstract": "For the hard-sphere Boltzmann equation, we derive an exact nonlinear generating vertex for collisional stress and heat-flux production. The complete two-input Hermite hierarchy for stress resums to a universal traceless tensor times one scalar radial law, while the heat-flux vertex follows from the same law by an exact contraction. Taylor differentiation yields universal bilinear collision tensors with exact stress and heat-flux gradings, without a finite moment closure. DSMC tests, including wall-driven flows and a bimodal Mach-5 shock, recover independently sampled Boltzmann productions and the predicted convergence, while the converged production is independent of the thermal Gaussian foot used for its Hermite representation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26807",
  "author_total": 1,
  "authors": [
    {
      "name": "Ilya Karlin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6rd50fn7eb8yz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26807",
  "fulltext_url": null,
  "id": "6rd50fn7eb8yz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26807",
  "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",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7214171144",
  "pdf_url": "https://arxiv.org/pdf/2609.26807",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6rd50fn7eb8yz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.26807",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26807"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Exact Collision Vertex for Stress and Heat Flux",
  "title_text": "Exact Collision Vertex for Stress and Heat Flux",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/6rd50fn7eb8yz",
  "venue": "arXiv",
  "versions": []
}