{
  "id": "math-ph/0305001",
  "version": "v1",
  "published": "2003-05-01T00:23:20.000Z",
  "updated": "2003-05-01T00:23:20.000Z",
  "title": "Cross-over in scaling laws: A simple example from micromagnetics",
  "authors": [
    "Felix Otto"
  ],
  "journal": "Proceedings of the ICM, Beijing 2002, vol. 3, 829--838",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Scaling laws for characteristic length scales (in time or in the model parameters) are both experimentally robust and accessible for rigorous analysis. In multiscale situations cross--overs between different scaling laws are observed. We give a simple example from micromagnetics. In soft ferromagnetic films, the geometric character of a wall separating two magnetic domains depends on the film thickness. We identify this transition from a N\\'eel wall to an Asymmetric Bloch wall by rigorously establishing a cross--over in the specific wall energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-01T00:23:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scaling laws",
      "simple example",
      "micromagnetics",
      "asymmetric bloch wall",
      "magnetic domains depends"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.ph...5001O"
    }
  }
}