{
  "annotation_id": "09346aac-133c-4b82-b8b0-2a926f29f9a7",
  "date_created": "2026-03-02T18:01:21.794000Z",
  "date_modified": "2026-03-02T18:01:21.794000Z",
  "file_hash": "db1b05c884796a4907ceea7bac812d337a0ff3fd1fc6dbe86082d389b5c97097",
  "private": false,
  "record": {
    "abstract": "As an alternative to solving of Poisson equation in Particle-in-Cell methods,\na new construction of current density exactly satisfying continuity equation in\nfinite differences is developed. This procedure called density decomposition is\nproved to be the only possible linear procedure for defining the current\ndensity associated with the motion of a particle. Density decomposition is\nvalid at least for any n-dimensional form-factor which is the product of\none-dimensional form-factors. The algorithm is demonstrated for parabolic\nspline form-factor.",
    "arxiv_id": "physics/9901047",
    "authors": [
      "Timur Zh. Esirkepov"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.plasm-ph"
    ],
    "title": "Exact charge conservation scheme for Particle-in-Cell simulations for a   big class of form-factors",
    "url": "https://arxiv.org/abs/physics/9901047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "80740ae2-1e3c-4d6f-b8b3-e0e7a5a7ec95",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}