Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition)

Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition)

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Overview

Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition) by Walter Kob, Kurt Binder

This book gives a pedagogical introduction to the physics of amorphous solids and related disordered condensed matter systems. Important concepts from statistical mechanics such as percolation, random walks, fractals and spin glasses are explained. Using these concepts, the common aspects of these systems are emphasized, and the current understanding of the glass transition and the structure of glasses are concisely reviewed. This second edition includes new material on emerging topics in the field of disordered systems such as gels, driven systems, dynamical heterogeneities, growing length scales etc. as well as an update of the literature in this rapidly developing field.

Product Details

ISBN-13: 9789814350174
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 01/31/2011
Edition description: Revised
Pages: 547
Product dimensions: 6.10(w) x 9.00(h) x 1.30(d)

Table of Contents

Prefacev
1Introduction1
1.1Models of Disordered Matter: A Brief Overview1
1.2General Concepts on the Statistical Mechanics of Disordered Matter13
1.2.1Lattice Models13
1.2.2Averaging in Random Systems: Quenched versus Annealed Disorder17
1.2.3"Symmetry Breaking" and "Ergodicity Breaking"20
1.2.4Configurational Entropy versus "Complexity", and the Kauzmann Paradox25
2Structure and Dynamics of Disordered Matter35
2.1Pair Distribution Functions and the Static Structure Factor35
2.2Topological Disorder and Bond Orientational Correlations51
2.3General Aspects of Dynamic Correlation Functions and Transport Properties63
3Models of Disordered Structures79
3.1Random Walks: A Simple Model for the Configurations of Flexible Polymers79
3.2Percolation: A First Example of a Fractal Structure94
3.2.1The Percolation Probability and Percolation Threshold94
3.2.2Diluted Magnets and Critical Exponents98
3.2.3The Fractal Dimensionality and the Concept of Finite Size Scaling104
3.2.4Scaling of the Cluster Size Distribution106
3.2.5Percolation for Low and High Lattice Dimensions109
3.2.6Rigidity Percolation113
3.3Other Fractals (Diffusion-Limited Aggregation, Random Surfaces, etc.)116
3.3.1General Concepts on Fractal Geometry116
3.3.2Diffusion-Limited Aggregation120
3.3.3Growth of Random Interfaces122
3.4Random Close Packing124
3.5Continuous Random Networks132
3.6Chemically Realistic Models of Structural Glasses139
4General Concepts and Physical Properties of Disordered Matter165
4.1The Rouse Model for Polymer Dynamics: A Simple Example for the Consequences of the Random Walk Picture165
4.2Application of the Percolation Problem to Physical Systems178
4.2.1Percolation Conductivity and a Naive Treatment of the Elasticity of Polymer Networks178
4.2.2Excitations of Diluted Magnets Near the Percolation Threshold183
4.2.3Effective Medium Theory188
4.3Elementary Excitations of Fractal Structures190
4.3.1Diffusion on a Percolation Cluster: The "Ant in the Labyrinth"190
4.3.2The Spectral Dimension and Fracton Excitations193
4.3.3The Sol-Gel Transition Revisited198
4.4Physical Properties of Amorphous Solids202
4.4.1Two-Level Systems203
4.4.2Anomalies of Glasses at Intermediate Temperatures: Excess Specific Heat, Thermal Conductivity Plateau, and Boson Peak210
4.5Spin Glasses221
4.5.1Some Experimental Facts about Spin Glasses: Systems and Physical Properties222
4.5.2Theoretical Models233
4.5.3The Replica Method and the Mean Field Theory of the Ising Spin Glass237
4.5.4Replica Symmetry Breaking245
4.5.5Spin Glasses Beyond Mean Field Theory255
4.6Variants and Extensions of Spin Glasses263
4.6.1p-Spin Interaction Spin Glasses and the Random Energy Model263
4.6.2Potts Glasses264
4.6.3Quadrupolar Glasses as Models for Diluted Molecular Crystals276
4.6.4Atomistically Realistic Models of Diluted Molecular Crystals281
4.6.5Spin Models with Quenched Random Fields285
5Supercooled Liquids and the Glass Transition311
5.1Phenomenology of Glass-Forming Systems312
5.2Models for Slow Relaxation331
5.2.1The Theory of Adam and Gibbs332
5.2.2The Free Volume Theory338
5.2.3Kinetically Constrained Models345
5.3The Mode-Coupling Theory of the Glass Transition359
5.3.1The Zwanzig-Mori Projection Operator Formalism360
5.3.2The Mode-Coupling Approximations364
5.3.3The Mode-Coupling Theory of the Glass Transition366
5.3.4Predictions of Mode-Coupling Theory375
5.3.5The Relaxation Dynamics of Glass-Forming Liquids and Test of the Predictions of MCT385
5.3.6Concluding Remarks on Mode-Coupling Theory412
Index431

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