对于研究生而言，玻璃质材料和无序固体是比结晶固体更加广泛、更加具有挑战性的研究领域，这也是迄今为止学术界还没有形成普遍共识和前后统一的理论的一个领域。本书的两位作者都是该领域的知名专家，成书之前第一作者曾在德国美因茨（Mainz）的Johannes Gutenberg大学讲课多年。可以说，这是填补该领域教科书空白的一部力作。

　　这本可读性较强的教科书将紧紧抓住学生的心，让你懂得如此广泛的领域具有许多共同的特征，亦即表明在统计力学的框架内可以给予很好的描述。本书同样适用于作为研究无定形材料的研究人员、理论工作者和实验人员的标准教本。

全书共分5章，第一章以教科书的方式，简要评述无序物质的模型和它的统计力学的普遍概念。第二章讲述无序物质的结构和动力学。第三章为无序结构的模型，其中以无规行走来讨论柔性聚合物构型的模型，从渗滤理论出发讨论分形结构等。第四章讲述无序物质的普遍概念和物理特性，包括聚合物动力学的Rouse模型、应用渗滤问题处理物理系统、分形结构的元激发、无定形固体的物理性质、自旋玻璃体等。第五章讲述超冷流体和玻璃体相变，包括形成玻璃体的唯象模式、慢弛豫模型和玻璃体相变的模-耦合理论等。各章之后都有大量参考文献，供深入研究参考。

Contents

Preface

1. Introduction

　1.1 Models of Disordered Matter: A Brief Overview

　1.2 General Concepts on the Statistical Mechanics of Disordered Matter

　　1.2.1 Lattice Models

　　1.2.2 Averaging in Random Systems: Quenched versus Annealed Disorder

　　1.2.3 "Symmetry Breaking" and "Ergodicity Breaking"

　　1.2.4 Configurational Entropy versus "Complexity",and the Kauzmann Paradox

2. Structure and Dynamics of Disordered Matter

　2.1 Pair Distribution Functions and the Static Structure Factor

　2.2 Topological Disorder and Bond Orientational Correlations

　2.3 General Aspects of Dynamic Correlation Functions and Transport Properties

3. Models of Disordered Structures

　3.1 Random Walks: A Simple Model for the Configurations of Flexible Polymers

　3.2 Percolation: A First Example of a Fractal Structure

　　3.2.1 The Percolation Probability and Percolation Threshold

　　3.2.2 Diluted Magnets and Critical Exponents

　　3.2.3 The Fractal Dimensionality and the Concept of Finite Size Scaling

　　3.2.4 Scaling of the Cluster Size Distribution

　　3.2.5 Percolation for Low and High Lattice Dimensions

　　3.2.6 Rigidity Percolation

　3.3 Other Fractals (Diffusion-Limited Aggregation, Random Surfaces, etc.)

　　3.3.1 General Concepts on Fractal Geometry

　　3.3.2 Diffusion-Limited Aggregation

　　3.3.3 Growth of Random Interfaces

　3.4 Random Close Packing

　3.5 Continuous Random Networks

　3.6 Chemically Realistic Models of Structural Glasses

4. General Concepts and Physical Properties of Disordered Matter

　4.1 The Rouse Model for Polymer Dynamics: A Simple Example for the Consequences of the Random Walk Picture

　4.2 Application of the Percolation Problem to Physical Systems

　　4.2.1 Percolation Conductivity and a Naive Treatment of the Elasticity of Polymer Networks

　　4.2.2 Excitations of Diluted Magnets Near the Percolation Threshold

　　4.2.3 Effective Medium Theory

　4.3 Elementary Excitations of Fractal Structures

　　4.3.1 Diffusion on a Percolation Cluster: The "Ant in the Labyrinth"

　　4.3.2 The Spectral Dimension and Fracton Excitations

　　4.3.3 The Sol-Gel Transition Revisited

　4.4 Physical Properties of Amorphous Solids

　　4.4.1 Two-Level Systems

　　4.4.2 Anomalies of Glasses at Intermediate Temperatures:Excess Specific Heat, Thermal Conductivity Plateau, and Boson Peak

　4.5 Spin Glasses

　　4.5.1 Some Experimental Facts about Spin Glasses:Systems and Physical Properties

　　4.5.2 Theoretical Models

　　4.5.3 The Replica Method and the Mean Field Theory of the Ising Spin Glass

　　4.5.4 Replica Symmetry Breaking

　　4.5.5 Spin Glasses Beyond Mean Field Theory

　4.6 Variants and Extensions of Spin Glasses

　　4.6.1 p-Spin Interaction Spin Glasses and the Random Energy Model

　　4.6.2 Potts Glasses

　　4.6.3 Quadrupolar Glasses as Models for Diluted Molecular Crystals

　　4.6.4 Atomistically Realistic Models of Diluted Molecular Crystals

　　4.6.5 Spin Models with Quenched Random Fields

5. Supercooled Liquids and the Glass Transition

　5.1 Phenomenology of Glass-Forming Systems

　5.2 Models for Slow Relaxation

　　5.2.1 The Theory of Adam and Gibbs

　　5.2.2 The Free Volume Theory

　　5.2.3 Kinetically Constrained Models

　5.3 The Mode-Coupling Theory of the Glass Transition

　　5.3.1 The Zwanzig-Mori Projection Operator Formalism

　　5.3.2 The Mode-Coupling Approximations

　　5.3.3 The Mode-Coupling Theory of the Glass Transition

　　5.3.4 Predictions of Mode-Coupling Theory

　　5.3.5 The Relaxation Dynamics of Glass-Forming Liquids and Test of the Predictions of MCT

　　5.3.6 Concluding Remarks on Mode-Coupling Theory

Index