{
  "annotation_id": "515e7c13-7c0e-4736-8cb6-1f848bf4c197",
  "date_created": "2026-03-02T18:00:57.050000Z",
  "date_modified": "2026-03-02T18:00:57.050000Z",
  "file_hash": "e64bc11076d113e471715fde8a207a5185be149d00270d8e806e52cc9a6cd36a",
  "private": false,
  "record": {
    "abstract": "The Kardar-Parisi-Zhang (KPZ) equation with infinitesimal surface tension,\ndynamically develops sharply connected valley structures within which the\nheight derivative is not continuous. We discuss the intermittency issue in the\nproblem of stationary state forced KPZ equation in 1+1--dimensions. It is\nproved that the moments of height increments $C_a = \u003c | h (x_1) - h (x_2) |^a \u003e\n$ behave as $ |x_1 -x_2|^{\\xi_a}$ with $\\xi_a = a$ for length scales $|x_1-x_2|\n\u003c\u003c \\sigma$. The length scale $\\sigma$ is the characteristic length of the\nforcing term. We have checked the analytical results by direct numerical\nsimulation.",
    "arxiv_id": "physics/0504204",
    "authors": [
      "S. M. A. Tabei",
      "A. Bahraminasab",
      "A. A. Masoudi",
      "S. Mousavi",
      "M. Reza Rahimi Tabar"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.70.031101",
    "journal_ref": "Phys. Rev. E 70, 031101 (2004)",
    "title": "Intermittency of Height Fluctuations and Velocity Increment of The   Kardar-Parisi-Zhang and Burgers Equations with infinitesimal surface tension   and Viscosity in 1+1 Dimensions",
    "url": "https://arxiv.org/abs/physics/0504204"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "271da675-e0e3-45d0-8817-c888707c20d1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}