{
  "annotation_id": "9743dca3-f9ca-4355-99cf-284811e070d6",
  "date_created": "2026-03-02T18:01:00.873000Z",
  "date_modified": "2026-03-02T18:01:00.873000Z",
  "file_hash": "f4bd0ce0009f1263fe99e60dfdda6bd1be1d9f1cf9304ba60921aff342234517",
  "private": false,
  "record": {
    "abstract": "We present an extension of the Karman-Howarth theorem to the Lagrangian\naveraged magnetohydrodynamic (LAMHD-alpha) equations. The scaling laws\nresulting as a corollary of this theorem are studied in numerical simulations,\nas well as the scaling of the longitudinal structure function exponents\nindicative of intermittency. Numerical simulations for a magnetic Prandtl\nnumber equal to unity are presented both for freely decaying and for forced two\ndimensional MHD turbulence, solving directly the MHD equations, and employing\nthe LAMHD-alpha equations at 1/2 and 1/4 resolution. Linear scaling of the\nthird-order structure function with length is observed. The LAMHD-alpha\nequations also capture the anomalous scaling of the longitudinal structure\nfunction exponents up to order 8.",
    "arxiv_id": "physics/0508173",
    "authors": [
      "J. Pietarila Graham",
      "D. D. Holm",
      "P. Mininni",
      "A. Pouquet"
    ],
    "categories": [
      "physics.flu-dyn",
      "astro-ph",
      "nlin.CD",
      "physics.plasm-ph"
    ],
    "doi": "10.1063/1.2194966",
    "journal_ref": "Phys.Fluids 18 (2006) 045106",
    "title": "Inertial Range Scaling, Karman-Howarth Theorem and Intermittency for   Forced and Decaying Lagrangian Averaged MHD in 2D",
    "url": "https://arxiv.org/abs/physics/0508173"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b7db6748-7f03-4896-affd-f7aaeb56e19a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}