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Lattice gases in statistical physics : a study of phase separation, critical behavior and other phenomena

The studies which are presented here are computer simulations of fluid phenomena based on 2D lattice gas models of the kind first described by Frisch et al. (1986). The primary advantage of using these models is that they are easily implemented on massively parallel computers and as a result are extremely fast. / The first of these studies is of a model of phase separation in binary fluids. The growth laws of the fluid domains are examined and are shown to compare favourably to theoretical predictions of San Miguel et al. (1985). This appears to be a first verification of these results. The second study is of the critical behavior of a system of binary fluids. The model is shown to have a phase transition and the critical temperature is determined with an accuracy of 1%. Several critical exponents are also determined and evidence is provided that the model falls into the 2D Ising model universality class. A new model of fluid convection is also presented though no concrete results are yet available for this model.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.68184
Date January 1993
CreatorsHowes, Karsten
ContributorsGrant, Martin (advisor)
PublisherMcGill University
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Formatapplication/pdf
CoverageMaster of Science (Department of Physics.)
RightsAll items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.
Relationalephsysno: 001395779, proquestno: AAIMM94442, Theses scanned by UMI/ProQuest.

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