佩里特著的《简明统计力学》是一部讲述统计力学的优秀教材，内容简明，自称体系。统计力学作为物理专业的一个很活跃的区域，并且在经济、社会行为、算法理论和进化生物等多种领域中有广泛应用。目次：导论；热动力学；基本假定；交互自由体系；相变换；重整化群；经典流；数值模拟；动力学；复系统；附录。

Preface to the English Edition

Preface

1 Introduction

1.1 The Subject Matter of Statistical Mechanics

1.2 Statistical Postulates

1.3 An Example: The Ideal Gas

1.4 Conclusions

Recommended Reading

2 Thermodynamics

2.1 Thermodynamic Systems

2.2 Extensive Variables

2.3 The Central Problem of Thermodynamics

2.4 Entropy

2.5 Simple Problems

2.6 Heat and Work

2.7 The Fundamental Equation

2.8 Energy Scheme

2.9 Intensive Variables and Thermodynamic Potentials

2.10 Free Energy and Maxwell Relations

2.11 Gibbs Free Energy and Enthalpy

2.12 The Measure of Chemical Potential

2.13 The Koenig Born Diagram

2.14 Other Thermodynamic Potentials

2.15 The Euler and Gibbs-Duhem Equations

2.16 Magnetic Systems

2.17 Equations of State

2.18 Stability

2.19 Chemical Reactions

2.20 Phase Coexistence

2.21 The Clausius-Clapeyron Equation

2.22 The Coexistence Curve

2.23 Coexistence of Several Phases

2.24 The Critical Point

2.25 Planar Interfaces

Recommended Reading

3 The Fundamental Postulate

3.1 Phase Space

3.2 Observables

3.3 The Fundamental Postulate: Entropy as Phase-Space Volume

3.4 Liouville's Theorem

3.5 Quantum States

3.6 Systems in Contact

3.7 Variational Principle

3.8 The Ideal Gas

3.9 The Probability Distribution

3.10 Maxwell Distribution

3.11 The Ising Paramagnet

3.12 The Canonical Ensemble

3.13 Generalized Ensembles

3.14 The p-T Ensemble

3.15 The Grand Canonical Ensemble

3.16 The Gibbs Formula for the Entropy

3.17 Variational Derivation of the Ensembles

3.18 Fluctuations of Uncorrelated Particles

Recommended Reading

4 Interaction-Free Systems

4.1 Harmonic Oscillators

4.2 Photons and Phonons

4.3 Boson and Fermion Gases

4.4 Einstein Condensation

4.5 Adsorption

4.6 Intemal Degrees of Freedom

4.7 Chemical Equilibria in Gases

Recommended Reading

Phase Transitions

5.1 Liquid-Gas Coexistence and Critical Point

5.2 Van der Waals Equation

5.3. Other Singularities

5.4 Binary Mixtures

5.5 Lattice Gas

5.6 Symmetry

5.7 Symmetry Breaking

5.8 The Order Parameter

5.9 Peierls Argument

5.10 The One-Dimensional Ising Model

5.11 Duality

5.12. Mean-Field Theory

5.13 Variational Principle

5.14 Correlation Functions

5.15 The Landau Theory

5.16 Critical Exponents

5.17 The Einstein Theory of Fluctuations

5.18 Ginzburg Criterion

5.19 Universality and Scaling

5.20 Partition Function of the Two-Dimensional Ising Model

Recommended Reading

6 Renormalization Group

6.1 Block Transformation

6.2 Decimation in the One-Dimensional Ising Model

6.3 Two-Dimensional Ising Model

6.4 Relevant and Irrelevant Operators

6.5 Finite Lattice Method

6.6 Renormalization in Fourier Space

6.7 Quadratic Anisotropy and Crossover

6.8 Critical Crossover

6.9 Cubic Anisotrophy

6.10 Limit n → ∞

6.11 Lower and Upper Critical Dimensions

Recommended Reading

7 Classical Fluids

7.1 Partition Function for a Classical Fluid

7.2 Reduced Densities

7.3 Virial Expansion

7.4 Perturbation Theory

7.5 Liquid Solutions

Recommended Reading

8 Numerical Simulation

8.1 Introduction

8.2 Molecular Dynamics

8.3 Random Sequences

8.4 Monte Carlo Method

8.5 Umbrella Sampling

8.6 Discussion

Recommended Reading

9 Dynamics

9.1 Brownian Motion

9.2 Fractal Properties of Brownian Trajectories

9.3 Smoluchowski Equation

9.4 Diffusion Processes and the Fokker-Planck Equation

9.5 Correlation Functions

9.6 Kubo Formula and Sum Rules

9.7 Generalized Brownian Motion

9.8 Time Reversal

9.9 Response Functions

9.10 Fluctuation-Dissipation Theorem

9.11 Onsager Reciprocity Relations

9.12 Affinities and Fluxes

9.13 Variational Principle

9.14 An Application

Recommended Reading

10 Complex Systems

10.1 Linear Polymers in Solution

10.2 Percolation

10.3 Disordered Systems

Recommended Reading

Appendices

Appendix A Legendre Transformation

A.1 Legendre Transform

A.2 Properties of the Legendre Transform

A.3 Lagrange Multipliers

Appendix B Saddle Point Method

B.1 Euler Integrals and the Saddle Point Method

B.2 The Euler Gamma Function

B.3 Properties of N-Dimensional Space

B.4 Integral Representation of the Delta Function

Appendix C A Probability Refresher

C.1 Events and Probability

C.2 Random Variables

C.3 Averages and Moments

C.4 Conditional Probability: Independence

C.5 Generating Function

C.6 Central Limit Theorem

C.7 Correlations

Appendix D Markov Chains

D.1 Introduction

D.2 Definitions

D.3 Spectral Properties

D.4 Ergodic Properties

D.5 Convergence to Equilibrium

Appendix E Fundamental Physical Constants

Bibliography

Index