{
  "annotation_id": "44dc1f09-0c77-4de0-baee-4ba50f9d2bcf",
  "date_created": "2026-03-02T18:00:56.759000Z",
  "date_modified": "2026-03-02T18:00:56.759000Z",
  "file_hash": "2077de5fb2a6bc98053507ff40c75dff27b729f74e15c6c81c8ae7fea102b525",
  "private": false,
  "record": {
    "abstract": "In this work we extend our previously developed formalism of Newtonian\nmulti-fluid hydrodynamics to allow for coupling between the fluids and the\nelectromagnetic and gravitational field. This is achieved within the convective\nvariational principle by using a standard minimal coupling prescription. In\naddition to the conservation of total energy and momentum, we derive the\nconservation of canonical vorticity and helicity, which generalize the\ncorresponding conserved quantities of uncharged fluids. We discuss the\napplication of this formalism to electrically conducting systems,\nmagnetohydrodynamics and superconductivity. The equations of electric\nconductors derived here are more general than those found in the standard\ndescription of such systems, in which the effect of entrainment is overlooked,\ndespite the fact that it will generally be present in any conducting\nmulti-constituent system.",
    "arxiv_id": "physics/0503217",
    "authors": [
      "Reinhard Prix"
    ],
    "categories": [
      "physics.flu-dyn",
      "astro-ph",
      "cond-mat.supr-con"
    ],
    "doi": "10.1103/PhysRevD.71.083006",
    "journal_ref": "Phys.Rev. D71 (2005) 083006",
    "title": "Variational description of multi-fluid hydrodynamics: Coupling to gauge   fields",
    "url": "https://arxiv.org/abs/physics/0503217"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "60248156-850c-450c-8aaf-a94b0779fe4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}