In this work we have re-examined the classical problem of nucleation and growth. We present a new model that combines steady-state homogeneous nucleation theory with the classical Lifshitz-Slyozov mechanism of growth. This model considers the substantial correlations between droplets and naturally incorporates the crossover from the early-stage, nucleation dominated regime to the scaling, late-stage, coarsening regime within a single framework, without ad-hoc assumptions. This is achieved by the development of a set of self-consistent interface equations which describe the decay of metastable states. The model is implemented numerically and some interesting dynamical behaviour is observed, including the reproduction of the expected late-time scaling and power-law growth laws for the key mean-field variables.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.27417 |
| Date | January 1996 |
| Creators | Stinson O'Gorman, Dean. |
| 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: 001553749, proquestno: MQ29792, Theses scanned by UMI/ProQuest. |
Page generated in 0.0015 seconds