Computation of physical properties of materials using percolation networks.

Wong Yuk Chun.Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.Includes bibliographical references (leaves 71-74).Abstracts in English and Chinese.Abstract --- p.iiAcknowledgments --- p.iiiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Motivation --- p.2Chapter 1.2 --- The Scope of the Project --- p.2Chapter 1.3 --- An Outline of the Thesis --- p.3Chapter 2 --- Related Work --- p.5Chapter 2.1 --- Percolation Effect --- p.5Chapter 2.2 --- Percolation Models --- p.6Chapter 2.2.1 --- Site Percolation --- p.6Chapter 2.2.2 --- Bond Percolation --- p.8Chapter 2.3 --- Simulated Annealing --- p.8Chapter 3 --- Electrical Property --- p.11Chapter 3.1 --- Electrical Conductivity --- p.11Chapter 3.2 --- Physical Model --- p.13Chapter 3.3 --- Algorithm --- p.16Chapter 3.3.1 --- Simulated Annealing --- p.18Chapter 3.3.2 --- Neighborhood Relation and Objective Function --- p.19Chapter 3.3.3 --- Configuration Space --- p.21Chapter 3.3.4 --- Annealing Schedule --- p.22Chapter 3.3.5 --- Expected Time Bound --- p.23Chapter 3.4 --- Results --- p.26Chapter 3.5 --- Discussion --- p.27Chapter 4 --- Thermal Properties --- p.30Chapter 4.1 --- Thermal Expansivity --- p.31Chapter 4.2 --- Physical Model --- p.32Chapter 4.2.1 --- The Physical Properties --- p.32Chapter 4.2.2 --- Objective Function and Neighborhood Relation --- p.37Chapter 4.3 --- Algorithm --- p.38Chapter 4.3.1 --- Parallel Simulated Annealing --- p.39Chapter 4.3.2 --- The Physical Annealing Schedule --- p.42Chapter 4.4 --- Results --- p.43Chapter 4.5 --- Discussion --- p.47Chapter 5 --- Scaling Properties --- p.48Chapter 5.1 --- Problem Define --- p.49Chapter 5.2 --- Physical Model --- p.50Chapter 5.2.1 --- The Physical Properties --- p.50Chapter 5.2.2 --- Bond Stretching Force --- p.50Chapter 5.2.3 --- Objective Function and Configuration Space --- p.51Chapter 5.3 --- Algorithm --- p.52Chapter 5.3.1 --- Simulated Annealing --- p.52Chapter 5.3.2 --- The Conjectural Method --- p.54Chapter 5.3.3 --- The Physical Annealing Schedule --- p.56Chapter 5.4 --- Results --- p.57Chapter 5.4.1 --- Case I --- p.59Chapter 5.4.2 --- Case II --- p.60Chapter 5.4.3 --- Case III --- p.60Chapter 5.5 --- Discussion --- p.61Chapter 6 --- Conclusion --- p.62Chapter A --- An Example on Studying Electrical Resistivity --- p.64Chapter B --- Theory of Elasticity --- p.67Chapter C --- Random Number Generator --- p.69Bibliograph