{
  "annotation_id": "123176bc-925f-450a-8030-a8fb116f3473",
  "date_created": "2026-03-02T18:00:49.718000Z",
  "date_modified": "2026-03-02T18:00:49.718000Z",
  "file_hash": "544db3be00978134052c9d0a71b0b53c30509c84ed848edb519e0582d079c40d",
  "private": false,
  "record": {
    "abstract": "Based on the generalized kinetic equation for the one-particle distribution\nfunction with a small source, the transition from the kinetic to the\nhydrodynamic description of many-particle systems is performed. The basic\nfeature of this new technique to obtain the hydrodynamic limit is that the\nlatter has been partially incorporated into the kinetic equation itself. The\nhydrodynamic equations for capillary fluids are derived from the characteristic\nfunction for the local moments of the distribution function. The Fick\u0027s law\nappears as a consequence of the transformation law for the hydrodynamic\nquantities under time inversion.",
    "arxiv_id": "physics/0405024",
    "authors": [
      "S. De Martino",
      "M. Falanga",
      "S. I. Tzenov"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "doi": "10.1103/PhysRevE.70.067301",
    "title": "Kinetic Derivation of the Hydrodynamic Equations for Capillary Fluids",
    "url": "https://arxiv.org/abs/physics/0405024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d5fd074-c646-4abc-8af8-995e21d14c58",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}