This thesis presents a theoretical approach to Ostwald ripening of droplets in arbitrary dimensions. A mean-field theory is constructed to incorporate screening effects among the competing droplets. The mean-field equations are solved to all orders in the volume fraction to provide analytic expressions for the coarsening rate, the droplet distribution function, and the time-dependent droplet number. These results are in agreement with experiments in three-dimension and with very large scale and extensive numerical studies in both two and three dimensions undertaken in this thesis. The numerical study also provides the time evolution of the structure factors, wherein lengths scale with the average droplet radius. Finally, the mean-field theory is extended to exciton systems and surfactant systems.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.39401 |
| Date | January 1992 |
| Creators | Yao, Jian Hua |
| 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: 001318477, proquestno: NN80345, Theses scanned by UMI/ProQuest. |
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