{
  "annotation_id": "696de557-92c9-4848-8cad-c1b8386d71d4",
  "date_created": "2026-03-02T18:00:38.975000Z",
  "date_modified": "2026-03-02T18:00:38.975000Z",
  "file_hash": "a4564b7cd95d8eb2e3775a813d8437b28708143911b7acc44c387656219ac9af",
  "private": false,
  "record": {
    "abstract": "We return to the subject of stability of infinite time asymptotics of kinetic\nequations. We found a model which is simpler than those studied previously and\nwhich shows unstable behavior corresponding to our arguments to appear\nelsewhere, where, however, a relatively complicated problem was treated. Our\nsimplification to four levels interacting with surroundings enable us to\nproceed easily through all the way with just a pen and paper. We provide no\nnumerical modelling whose justification causes naturally difficulties to the\nreader. We draw also further consequences of the found instability, not only\nwith respect to higher order terms in kinetic equations but also concerning the\nvery philosophy of physical modelling. The latter point can give more\npractically oriented physicist even better motivation than mere speculations\nabout potential instabilities due to higher order terms in perturbation\ntreatments without concrete resolution of correct asymptotics.",
    "arxiv_id": "physics/0201040",
    "authors": [
      "Frantisek Sanda"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "doi": "10.1088/0305-4470/36/25/303",
    "journal_ref": "J. Phys. A: Math. Gen. 36 6935-6950 (2003)",
    "title": "On a naive construction of kinetic equation",
    "url": "https://arxiv.org/abs/physics/0201040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "94c08b11-81f0-4a3c-bf49-25da9b7d299b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}