{
  "annotation_id": "eda01c9f-913e-4eca-86a4-904c7bd316bb",
  "date_created": "2026-03-02T18:00:56.810000Z",
  "date_modified": "2026-03-02T18:00:56.810000Z",
  "file_hash": "47b370bb65fd9cd240f26da9d04e1674468a4ab85cc96d4b73fd14057595cdbc",
  "private": false,
  "record": {
    "abstract": "We consider a ferrofluid cylinder, that is rotating with constant rotation\nfrequency \\Omega e_z as a rigid body. A homogeneous magnetic field H_0 e_x is\napplied perpendicular to the cylinder axis e_z. This causes a nonequilibrium\nsituation. Therein the magnetization M and the internal magnetic field H are\nconstant in time and homogeneous within the ferrofluid. According to the\nMaxwell equations they are related to each other via H = H_0 - M/2. However, H\nand M are not parallel to each other and their directions differ from that of\nthe applied field H_0. We have analyzed several different theoretical models\nthat provide equations for the magnetization in such a situation. The\nmagnetization M is determined for each model as a function of \\Omega and H_0 in\na wide range of frequencies and fields. Comparisons are made of the different\nmodel results and the differences in particular of the predictions for the\nperpendicular components H_y =-M_y/2 of the fields are analyzed.",
    "arxiv_id": "physics/0505022",
    "authors": [
      "A. Leschhorn",
      "M. L\u00fccke"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1524/zpch.2006.220.2.219",
    "journal_ref": "Z. Phys. Chem. 220 (2006) 219-224",
    "title": "Magnetization of rotating ferrofluids: predictions of different   theoretical models",
    "url": "https://arxiv.org/abs/physics/0505022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5210cbba-1aa0-4134-b13a-65e5bac22e75",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}