=============================================================================== GLASSY MATERIALS AND DISORDERED SOLIDS An Introduction to Their Statistical Mechanics Kurt Binder and Walter Kob World Scientific, Singapore, 2005, ISBN 981-256-510-8, 452 pages Chapter 1: Introduction; 1 1.1 Models of Disordered Matter: A brief Overview; 1 1.2 General Concepts on the Statistical Mechanics of Disordered Matter; 13 1.2.1 Lattice Models; 13 1.2.2 Averaging in Random Systems: Quenched versus Annealed Disorder; 17 1.2.3 ``Symmetry Breaking'' and ``Ergodicity Breaking''; 20 1.2.4 Configurational Entropy versus ``Complexity'' , and the Kauzmann Paradox; 25 Chapter 2: Structure and Dynamics of Disordered Matter; 35 2.1 Pair Distribution Functions and the Static Structure Factor; 35 2.2 Topological Disorder and Bond Orientational Correlations; 51 2.3 General Aspects of Dynamic Correlation Functions and Transport Properties; 63 Chapter 3: Models of Disordered Structures; 79 3.1 Random Walks: A Simple Model for the Configurations of Flexible Polymers; 79 3.2 Percolation : A First Example of a Fractal Structure; 94 3.2.1 The Percolation Probability and Percolation Threshold; 94 3.2.2 Diluted Magnets and Critical Exponents; 98 3.2.3 The Fractal Dimensionality and the Concept of Finite Size Scaling; 104 3.2.4 Scaling of the Cluster Size Distribution; 106 3.2.5 Percolation for Low and High Lattice Dimensions; 109 3.2.6 Rigidity Percolation; 113 3.3 Other Fractals (Diffusion-Limited Aggregation, Random Surfaces, , etc.); 116 3.3.1 General Concepts on Fractal Geometry; 116 3.3.2 Diffusion-Limited Aggregation; 120 3.3.3 Growth of Random Interfaces; 122 3.4 Random Close Packing; 124 3.5 Continuous Random Networks; 132 3.6 Chemically Realistic Models of Structural Glasses; 139 Chapter 4: General Concepts and Physical Properties of Disordered Matter; 165 4.1 The Rouse model for polymer dynamics: A simple example for the consequences of the random walk picture; 165 4.2 Application of the percolation problem to physical systems; 178 4.2.1 Percolation conductivity and a naive treatment of the elasticity of polymer networks; 178 4.2.2 Excitations of diluted magnets near the percolation threshold; 183 4.2.3 Effective medium theory; 188 4.3 Elementary excitations of fractal structures; 190 4.3.1 Diffusion on a percolation cluster: The ``ant in the labyrinth''; 190 4.3.2 The spectral dimension and fracton excitations; 193 4.3.3 The sol-gel transition revisited; 198 4.4 Physical Properties of Amorphous Solids; 202 4.4.1 Two-Level Systems; 203 4.4.2 Anomalies of Glasses at Intermediate Temperatures: Excess Specific Heat, Thermal Conductivity Plateau, and Boson Peak; 210 4.5 Spin glasses; 221 4.5.1 Some experimental facts about spin glasses: systems and physical properties 222 4.5.2 Theoretical models 233 4.5.3 The replica method and the mean field theory of the Ising spin glass; 237 4.5.4 Replica symmetry breaking; 245 4.5.5 Spin glasses beyond mean field theory; 255 4.6 Variants and Extensions of Spin Glasses; 263 4.6.1 p-spin interaction spin glasses and the random energy model; 263 4.6.2 Potts glasses; 264 4.6.3 Quadrupolar glasses as models for diluted molecular crystals; 276 4.6.4 Atomistically realistic models of diluted molecular crystals; 281 4.6.5 Spin models with quenched random fields; 285 Chapter 5: Supercooled Liquids and the Glass Transition; 311 5.1 Phenomenology of glass-forming systems; 312 5.2 Models for slow relaxation; 331 5.2.1 The theory of Adam and Gibbs; 332 5.2.2 The free volume theory; 338 5.2.3 Kinetically Constrained Models; 345 5.3 The Mode-Coupling Theory of the Glass Transition; 359 5.3.1 The Zwanzig-Mori projection operator formalism; 360 5.3.2 The mode-coupling approximations; 364 5.3.3 The mode-coupling theory of the glass transition; 366 5.3.4 Predictions of mode-coupling theory; 375 5.3.5 The relaxation dynamics of glass-forming liquids and test of the predictions of MCT; 385 5.3.6 Concluding remarks on mode-coupling theory; 412 Index; 431 ===============================================================================