{
  "annotation_id": "71201a07-b1c7-4134-ab1c-ddb1e8edda55",
  "date_created": "2026-03-02T18:01:00.691000Z",
  "date_modified": "2026-03-02T18:01:00.691000Z",
  "file_hash": "53f21dfc5635ac53c590eb95c5e11e0790dbae912c8e3a20e2f1114862fa4f76",
  "private": false,
  "record": {
    "abstract": "Spectral direct numerical simulations of incompressible MHD turbulence at a\nresolution of up to $1024^3$ collocation points are presented for a\nstatistically isotropic system as well as for a setup with an imposed strong\nmean magnetic field. The spectra of residual energy,\n$E_k^\\mathrm{R}=|E_k^\\mathrm{M}-E_k^\\mathrm{K}|$, and total energy,\n$E_k=E^\\mathrm{K}_k+E^\\mathrm{M}_k$, are observed to scale self-similarly in\nthe inertial range as $E_k^\\mathrm{R}\\sim k^{-7/3}$, $E_k\\sim k^{-5/3}$\n(isotropic case) and $E^\\mathrm{R}_{k_\\perp}\\sim k_\\perp^{-2}$,\n$E_{k_\\perp}\\sim k_\\perp^{-3/2}$ (anisotropic case, perpendicular to the mean\nfield direction). A model of dynamic equilibrium between kinetic and magnetic\nenergy, based on the corresponding evolution equations of the eddy-damped\nquasi-normal Markovian (EDQNM) closure approximation, explains the findings.\nThe assumed interplay of turbulent dynamo and Alfv\\\u0027en effect yields\n$E_k^\\mathrm{R}\\sim k E^2_k$ which is confirmed by the simulations.",
    "arxiv_id": "physics/0509019",
    "authors": [
      "Wolf-Christian Mueller",
      "Roland Grappin"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "doi": "10.1103/PhysRevLett.95.114502",
    "title": "Spectral energy dynamics in magnetohydrodynamic turbulence",
    "url": "https://arxiv.org/abs/physics/0509019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ba8f163-4ec0-4465-aed4-fedc6bf8caf8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}