{"paper":{"title":"Spectral energy dynamics in magnetohydrodynamic turbulence","license":"","headline":"","cross_cats":["physics.plasm-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Roland Grappin, Wolf-Christian Mueller","submitted_at":"2005-09-02T14:08:19Z","abstract_excerpt":"Spectral direct numerical simulations of incompressible MHD turbulence at a resolution of up to $1024^3$ collocation points are presented for a statistically isotropic system as well as for a setup with an imposed strong mean magnetic field. The spectra of residual energy, $E_k^\\mathrm{R}=|E_k^\\mathrm{M}-E_k^\\mathrm{K}|$, and total energy, $E_k=E^\\mathrm{K}_k+E^\\mathrm{M}_k$, are observed to scale self-similarly in the inertial range as $E_k^\\mathrm{R}\\sim k^{-7/3}$, $E_k\\sim k^{-5/3}$ (isotropic case) and $E^\\mathrm{R}_{k_\\perp}\\sim k_\\perp^{-2}$, $E_{k_\\perp}\\sim k_\\perp^{-3/2}$ (anisotropic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0509019","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0509019/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}