{
  "annotation_id": "4fb50000-24c1-44df-ad8f-0287c5022b73",
  "date_created": "2026-03-02T18:01:21.790000Z",
  "date_modified": "2026-03-02T18:01:21.790000Z",
  "file_hash": "f053ea295df53db881cd33df0bd9431b6ef1b7a929f623f58fb5cdee63bf660f",
  "private": false,
  "record": {
    "abstract": "A self-consistent, thermodynamic approach is employed to derive the wave\nenergy of a magnetohydrodynamic system within the harmonic approximation and to\nobtain the familiar dispersion relation from the resulting equation of motion.\nThe evolution of the system due to an external perturbation is studied by a\nlinear response formalism, that also gives the energy absorbed by the\nmagnetohydrodynamic system from the external field. The calculated wave energy\nreveals the presence of positive and negative energy waves, that coalesce\ntogether to give rise to Kelvin - Helmholtz instability of the system. The\nthreshold value of this instability changes only slightly in the presence of a\nsmall amount of viscosity, thus precluding the dissipative instability of the\nnegative energy waves. The prediction of such a dissipative instability by\nearlier authors turns out to be the result of an erroneous choice of the\nviscous drag force, that violates the fundamental law of Galilean invariance.",
    "arxiv_id": "physics/9708019",
    "authors": [
      "S. Chatterjee",
      "P. S. Joarder"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.flu-dyn"
    ],
    "title": "Energy Calculation of Magnetohydrodynamic Waves and Their Stability For   Viscous Shearing Flows",
    "url": "https://arxiv.org/abs/physics/9708019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8aa99dc4-6f8f-49c8-ae39-900724984b23",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}