{
  "annotation_id": "5ba6a5f3-f323-441f-96f7-15b62d55b653",
  "date_created": "2026-03-02T18:00:29.289000Z",
  "date_modified": "2026-03-02T18:00:29.289000Z",
  "file_hash": "762833456fa66dcb5fd0faaf9e2a44fa248063aa478a9115dc722bc7e3c4e1c1",
  "private": false,
  "record": {
    "abstract": "We discuss the problem of fronts propagating into metastable and unstable\nstates. We examine the time development of the leading edge, discovering a\nprecursor which in the metastable case propagates out ahead of the front at a\nvelocity more than double that of the front and establishes the characteristic\nexponential behavior of the steady-state leading edge. We also study the\ndependence of the velocity on the imposition of a cutoff in the reaction term.\nThese studies shed new light on the problem of velocity selection in the case\nof propagation into an unstable state. We also examine how discreteness in a\nparticle simulation acts as an effective cutoff in this case.",
    "arxiv_id": "patt-sol/9802001",
    "authors": [
      "David A. Kessler",
      "Zvi Ner",
      "Leonard M. Sander"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.58.107",
    "title": "Front Propagation: Precursors, Cutoffs and Structural Stability",
    "url": "https://arxiv.org/abs/patt-sol/9802001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b236d447-d5ac-4d68-aa5a-7905874f28b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}