Dynamics of an Unbounded Interface Between Ordered Phases
Krapivsky, P. L. ; Redner, S. ; Tailleur, J.
arXiv, 0309515 / Harvested from arXiv
We investigate the evolution of a single unbounded interface between ordered phases in two-dimensional Ising ferromagnets that are endowed with single-spin-flip zero-temperature Glauber dynamics. We examine specifically the cases where the interface initially has either one or two corners. In both examples, the interface evolves to a limiting self-similar form. We apply the continuum time-dependent Ginzburg-Landau equation and a microscopic approach to calculate the interface shape. For the single corner system, we also discuss a correspondence between the interface and the Young tableau that represents the partition of the integers.
Publié le : 2003-09-22
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics
@article{0309515,
     author = {Krapivsky, P. L. and Redner, S. and Tailleur, J.},
     title = {Dynamics of an Unbounded Interface Between Ordered Phases},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309515}
}
Krapivsky, P. L.; Redner, S.; Tailleur, J. Dynamics of an Unbounded Interface Between Ordered Phases. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309515/