Cross-over in scaling laws: A simple example from micromagnetics
Otto, Felix
arXiv, 0305001 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-04-30
Classification:  Mathematical Physics 
@article{0305001,
     author = {Otto, Felix},
     title = {Cross-over in scaling laws: A simple example from micromagnetics},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305001}
}

Otto, Felix. Cross-over in scaling laws: A simple example from micromagnetics. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305001/