The kinetics of spinodal decomposition has been studied by Monte Carlo renormalization group method. Using a standard block-spin transformation, we numerically renormalize the evolving configurations during the phase separation of a kinetic Ising model with spin-exchange dynamics. We find that in the scaling regime, the average domain size $R$($t$) grows in time as $R$ $ sim$ $t sp{n}$, with $n$ = 0.338 $ pm$ 0.008 consistent with the classical $n$ = 1/3 result of Lifshitz and Slyozov. A scaling form for the structure factor is obtained, which is invariant under the renormalization group transformation. / The fluctuations around the average domain growth in Model A and Model B are studied using Monte Carlo simulation. The fluctuations, which are non-self-averaging, were found to have multiscaling properties and exhibit 1/$f$-like properties in the scaling regime. These properties point to the existence of analogies between dynamical and random systems, which need to be further explored.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.75912 |
| Date | January 1989 |
| Creators | Roland, Christopher, 1961- |
| 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 | Doctor of Philosophy (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000909969, proquestno: AAINL52288, Theses scanned by UMI/ProQuest. |
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