We study the kinetics of domain growth in deeply quenched anisotropic ferromagnets in the presence of a small external field H, using three simulation methods in two dimensions. In particular, we concentrate on the time evolution of the inverse perimeter density, squared magnetization, and structure factor, all of which characterize the domain morphology. The inverse perimeter density evolves as $R sp2$(t,H) $ sim$ t$ sp{n}$, where n = 1 for early time and n = 2 for late time. We characterize the crossover behavior of this growth law and demonstrate that the inverse perimeter density behaves like $R sp2$(t,H) = $ alpha$(H)tf($tH sp2$) where f(x) $ to$ 1 as x $ to$ 0 and f(x) $ to$ x as x $ to$ $ infty$. We further demonstrate that the squared magnetization and the structure factor do not scale, indicating that not all lengths in the problem behave in the fashion mentioned above. An analytical formulation of the problem is also studied with a perturbation theory in the limit H $ to$ 0. The first term is calculated and agrees qualitatively with the computer simulations.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.68195 |
| Date | January 1993 |
| Creators | Lacoursière, Claude |
| Contributors | Grant, Martin (advisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001394574, proquestno: AAIMM94453, Theses scanned by UMI/ProQuest. |
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