{
  "annotation_id": "7b4c9f5a-e37b-4ecc-b00d-0df445bc471a",
  "date_created": "2026-03-02T18:01:07.839000Z",
  "date_modified": "2026-03-02T18:01:07.839000Z",
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  "private": false,
  "record": {
    "abstract": "Analytical formulae for functional differentiation under simultaneous\nK-conservation constraints, with K the integral of some function of the\nfunctional variable, are derived, making the proper account for the\nsimultaneous conservation of normalization and statistical averages, e.g.,\npossible in functional differentiation in nonvariationally built physical\ntheories, which gets particular relevance for nonequilibrium, time-dependent\ntheories.",
    "arxiv_id": "physics/0603129",
    "authors": [
      "Tamas Gal"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.stat-mech",
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "doi": "10.1088/1751-8113/40/9/010",
    "journal_ref": "J. Phys. A 40, 2045 (2007)",
    "title": "Functional differentiation under simultaneous conservation constraints   (Constrained functional differentiation in statistical physics and   hydrodynamics)",
    "url": "https://arxiv.org/abs/physics/0603129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "795a7f1a-4269-43e2-9c7c-b1e39d24cfc7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}