Kwong Yvonne Roamy. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 149-152). / Text in English; abstracts in English and Chinese. / Kwong Yvonne Roamy. / Overviews --- p.1 / Chapter I --- Traffic Flow Problems --- p.5 / Chapter 1 --- Microscopic Approach to ID Traffic Flow Problems --- p.6 / Chapter 1.1 --- Introduction --- p.6 / Chapter 1.2 --- Models and General Formalisms --- p.7 / Chapter 1.2.1 --- The Fukui-Ishibashi Model and its Microscopic Repre- sentations --- p.7 / Chapter 1.2.2 --- Microscopic Expression for Average Velocity --- p.10 / Chapter 1.3 --- Analysis of Special Cases --- p.12 / Chapter 1.3.1 --- vmax=1 Deterministic Model --- p.12 / Chapter 1.3.2 --- vmax = 1 Model with Random Delay --- p.16 / Chapter 1.3.3 --- vmax = 2 Deterministic Model --- p.19 / Chapter 1.3.4 --- vmax = 2 Model with Random Delay --- p.23 / Chapter 1.3.5 --- vmax = 3 Deterministic Model --- p.28 / Chapter 1.3.6 --- vmax= 3 Model with Random Delay --- p.32 / Chapter 2 --- Two-Lane Traffic Flow Model I: A Microscopic Approach --- p.40 / Chapter 2.1 --- Introduction --- p.40 / Chapter 2.2 --- The Model --- p.41 / Chapter 2.3 --- Microscopic Approach --- p.44 / Chapter 2.3.1 --- Notations --- p.44 / Chapter 2.3.2 --- Formalism --- p.45 / Chapter 2.3.3 --- Iterative Results --- p.49 / Chapter 3 --- Two-Lane Traffic Flow Model II: An Alternative Approach --- p.51 / Chapter 3.1 --- Introduction --- p.51 / Chapter 3.2 --- Steady State Equations --- p.52 / Chapter 3.3 --- Exact Solution for The Case of f = 0 --- p.54 / Chapter 3.4 --- Analytical Solutions for The General Case --- p.58 / Chapter II --- Cellular Automaton Models of Driven Diffusive Frenkel-Kontorova-type Systems --- p.61 / Chapter 4 --- Microscopic Approach to the 1D CA Model of FK Systems (Model A) --- p.62 / Chapter 4.1 --- Introduction --- p.62 / Chapter 4.2 --- Model --- p.63 / Chapter 4.2.1 --- Updating Rules of the Model --- p.63 / Chapter 4.2.2 --- Symbolic Representations of the Site States --- p.64 / Chapter 4.2.3 --- Time Evolution of the State Variables --- p.66 / Chapter 4.3 --- Theoretical Solutions to the CA Model --- p.70 / Chapter 4.3.1 --- Dynamical Mapping of Mobility --- p.70 / Chapter 4.3.2 --- Analytical Solution in Large Field Limit: α= 1 --- p.71 / Chapter 4.3.3 --- "Numerical Solutions to the General Case: α E [0,1]" --- p.78 / Chapter 5 --- Microscopic Approach to the 1D CA Model of FK Systems (Model B) --- p.83 / Chapter 5.1 --- Introduction --- p.83 / Chapter 5.2 --- The Model --- p.84 / Chapter 5.2.1 --- Updating Rules --- p.84 / Chapter 5.2.2 --- Evolution Equations of The System --- p.84 / Chapter 5.3 --- Theoretical Approach to Model B --- p.87 / Chapter 5.3.1 --- Mobility at Time t + 1 in terms of Spatial Averages at Time t --- p.87 / Chapter 5.3.2 --- Analytical Solution in Large Field Limit:α = 1 --- p.88 / Chapter 5.3.3 --- "Numerical Solutions to the General Case:α E [0,1]" --- p.90 / Chapter III --- Noninteracting Particles obeying Intermediate Statistics --- p.97 / Chapter 6 --- Recursive Relation for the Partition Functions of Noninter- acting Particles Obeying Intermediate Statistics --- p.98 / Chapter 6.1 --- Introduction --- p.98 / Chapter 6.2 --- Recursive Relation for the Partition Functions --- p.100 / Chapter 6.2.1 --- Derivation I --- p.101 / Chapter 6.2.2 --- Derivation II --- p.103 / Chapter 6.2.3 --- Derivation III --- p.105 / Chapter 6.2.4 --- Heat Capacity and Occupation Numbers --- p.106 / Chapter 6.3 --- Applications to Particles in Different Confinements --- p.107 / Chapter 6.3.1 --- Isotropic Harmonic Confinements --- p.107 / Chapter 6.3.2 --- Anisotropic Harmonic Confinements --- p.108 / Chapter 6.3.3 --- Confinements in Rigid Boxes --- p.110 / Chapter 6.4 --- Typical Results and The 'Sign' Problem --- p.111 / Chapter 7 --- Thermodynamics of Non-interacting M-ons --- p.117 / Chapter 7.1 --- Introduction --- p.117 / Chapter 7.2 --- Regime of Validity --- p.117 / Chapter 7.3 --- Derivations of Tc --- p.119 / Chapter 7.3.1 --- Harmonic Confinements --- p.120 / Chapter 7.3.2 --- Rigid Box Confinements --- p.126 / Chapter IV --- Nonlinear Random Composites --- p.135 / Chapter 8 --- Dimensional Crossover of Strongly Nonlinear Random Re- sistor Networks --- p.136 / Chapter 8.1 --- Introduction --- p.136 / Chapter 8.2 --- Formalism --- p.137 / Chapter 8.3 --- Model --- p.139 / Chapter 9 --- Dilute Limit Formula for Second Harmonic Generationin Composites of Two Non-linear Components --- p.142 / Chapter 9.1 --- Introduction --- p.142 / Chapter 9.2 --- Derivation I --- p.142 / Chapter 9.3 --- Derivation II --- p.147 / Bibliography --- p.148
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322844 |
| Date | January 1999 |
| Contributors | Kwong, Yvonne Roamy., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xiii, 152 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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