{
  "annotation_id": "9dcd18b4-f2f5-4d67-b45f-c2379a7e3898",
  "date_created": "2026-03-02T18:00:46.737000Z",
  "date_modified": "2026-03-02T18:00:46.737000Z",
  "file_hash": "0edd767fb2f2c74d68b8d390e89ae752f1ac2981e52bb8c1f20975f0d68309be",
  "private": false,
  "record": {
    "abstract": "Deformations can induce rotation with zero angular momentum where dissipation\nis a natural ``cost function\u0027\u0027. This gives rise to an optimization problem of\nfinding the most effective rotation with zero angular momentum. For certain\nplastic and viscous media in two dimensions the optimal path is the orbit of a\ncharged particle on a surface of constant negative curvature with magnetic\nfield whose total flux is half a quantum unit.",
    "arxiv_id": "physics/0308050",
    "authors": [
      "J. E. Avron",
      "O. Gat",
      "O. Kenneth",
      "U. Sivan"
    ],
    "categories": [
      "physics.class-ph",
      "math-ph",
      "math.MP",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevLett.92.040201",
    "title": "Optimal rotations of deformable bodies and orbits in magnetic fields",
    "url": "https://arxiv.org/abs/physics/0308050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23def567-d721-48af-9bec-e84ddb5ae758",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}