{
  "annotation_id": "db5e070a-eaa6-472a-a4be-1ae3b804b8d2",
  "date_created": "2026-03-02T18:00:28.876000Z",
  "date_modified": "2026-03-02T18:00:28.876000Z",
  "file_hash": "2f325ab62586b686403db123d45531c97ff01dea7ee2127f67753c1fa856df52",
  "private": false,
  "record": {
    "abstract": "We investigate the asymptotic relaxation of so-called pulled fronts\npropagating into an unstable state. The ``leading edge representation\u0027\u0027 of the\nequation of motion reveals the universal nature of their propagation mechanism\nand allows us to generalize the universal algebraic velocity relaxation of\nuniformly translating fronts to fronts, that generate periodic or even chaotic\nstates. Such fronts in addition exhibit a universal algebraic phase relaxation.\nWe numerically verify our analytical predictions for the Swift-Hohenberg and\nthe Complex Ginzburg Landau equation.",
    "arxiv_id": "patt-sol/9908007",
    "authors": [
      "Cornelis Storm",
      "Willem Spruijt",
      "Ute Ebert",
      "Wim van Saarloos"
    ],
    "categories": [
      "patt-sol",
      "cond-mat",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.61.R6063",
    "journal_ref": "Phys. Rev. E 61, R6063-6066 (2000)",
    "title": "Universal Algebraic Relaxation of Velocity and Phase in Pulled Fronts   generating Periodic or Chaotic States",
    "url": "https://arxiv.org/abs/patt-sol/9908007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84849ad9-5650-470a-97f2-0ae17c3b32af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}