{
  "annotation_id": "65920d1d-a37f-4574-b7b7-ea1c0743e0df",
  "date_created": "2026-03-02T18:00:50.250000Z",
  "date_modified": "2026-03-02T18:00:50.250000Z",
  "file_hash": "94856c0812a21a3556675fb372daa35b76f6d20987691c5b1eccdb0cca7c3ae9",
  "private": false,
  "record": {
    "abstract": "We present strategies based upon extremization principles, in the case of the\naxisymmetric equations of magnetohydrodynamics (MHD). We study the equilibrium\nshape by using a minimum energy principle under the constraints of the MHD\naxisymmetric equations. We also propose a numerical algorithm based on a\nmaximum energy dissipation principle to compute in a consistent way the\nequilibrium states. Then, we develop the statistical mechanics of such flows\nand recover the same equilibrium states giving a justification of the minimum\nenergy principle. We find that fluctuations obey a Gaussian shape and we make\nthe link between the conservation of the Casimirs on the coarse-grained scale\nand the process of energy dissipation.",
    "arxiv_id": "physics/0407025",
    "authors": [
      "Nicolas Leprovost",
      "Pierre-Henri Chavanis",
      "Berengere Dubrulle"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "doi": "10.1103/PhysRevE.71.036311",
    "journal_ref": "Physical Review E 71 (2005) 036311",
    "title": "Thermodynamics of MHD flows with axial symmetry",
    "url": "https://arxiv.org/abs/physics/0407025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "909128b0-1c76-4fec-ab70-f65ee6957b73",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}