統計力學(第2版)（簡體書）

For this new edition， each chapter was revised and improved， typos corrected and figures added， some in response to many helpful comments on the first edition. We especially thank Professor Milton W. Cole for his correction of a factor 2 in the specific heat of a 1D hard-core Bose gas. Additionally， solutions to some representative problems have been included in an Appendix.But， more t.han mere revision and expansion of the material， it is the wit and knowledge of a new co-author that has greatly improved the present text. Thanks to this couaboration the topics of renormalization group and Monte-Carlo numerical techniques could be treated on a par with more conventional elements of statistical thermodynamics. The addition of these important subjects and the expansion of topics that previously had been just many-body theory and phase transitions. We present this new edition in the hope it本書是第二版，在第一版的基礎上做了大量的擴展和改進，廣受好評。對統計概念的原始講述，使得本書對理論物理的發展產生了深刻的影響，並且為現代熱動力學觀點的形成奠定了基礎。書中通過經典例子解釋理想牛頓物理定律和量子物理在噪音和熱波動現實世界中應用的原理和簡單邏輯。在新版中增加了相變多體理論的重要應用，將更好地為現代學生服務；同時也為老師的教學提供了更廣泛的話題，如，從熱動力學和隨機矩陣到熱動力格林函數和臨界現象，從聲音在固體和流體中傳播到量子流和變換矩陣中的准粒子本質。目次：統計和概率的基本概念；Ising模型和晶格氣；熱動力學基礎；統計力學；玻色子世界；有關費米子：金屬理論、超導體和半導體；運動理論；變換矩陣；蒙特卡洛模擬和其他計算機模擬方法；臨界現象和重正化群；量子場論在統計物理中的一些應用。
讀者對象：數學、力學、物理專業的學生、老師以及廣大的科研人員。

Preface to Second Edition
Preface to First Edition
Introduction: Theories of Thermodynamics, Kinetic Theory and
Statistical Mechanics
Chapter 1 Elementary Concepts in Statistics and Probability
1.0.Random Variables and Their Distributions
1.1.The Binomial Distribution
1.2.Length of a Winning Streak
1.3.Brownian Motion and the Random Walk
1.4.Poisson versus Normal （Gaussian） Distributions
1.5.Central Limit Theorem （CLT）
1.6.Multinomial Distributions, Statistical Thermodynamics
1.7.The Barometer Equation
1.8.Other Distributions

Chapter 2 The Ising Model and the Lattice Gas
2.0.Physical Applications of the Binary Model
2.1.Some Background and Motivation
2.2.First-Principles Statistical Theory of Paramagnetism
2.3.More on Entropy and Energy
2.4.Some Other Relevant Thermodynamic Functions
2.5.Mean-Field Theory, Stable and Metastable Solutions
2.6.The Lattice Gas
2.7.The Nearest-Neighbor Chain: Thermodynamics in 1D
2.8.The Disordered Ising Chain
2.9.Other Magnetic Systems in One Dimension

Chapter 3 Elements of Thermodynamics
3.1.The Scope of Thermodynamics
3.2.Equations of State and Some Definitions
3.3.Maxwell Relations
3.4.Three Important Laws of Thermodynamics
3.5.The Second Derivatives of the Free Energy
3.6.Phase Diagrams for the van der Waals Gas
3.7.Clausius-Clapeyron Equation
3.8.Phase Transitions
3.9.The Carnot Cycle
3.10. Superconductivity

Chapter 4 Statistical Mechanics
4.0.An Axiomatic Approach and the Ergodic Hypothesis
4.1.The Formalism - and a False Start
4.2.Gibbs' Paradox and Its Remedy
4.3.The Gibbs Factor
4.4.The Grand Ensemble
4.5.Non-Ideal Gas and the 2-Body Correlation Function
4.6.The Virial Equation of State
4.7.Weakly Non-Ideal Gas
4.8. .Two-body Correlations
4.9.Configurational Partition Function in 1D
4.10. One Dimension versus Two
4.11. Two Dimensions versus Three: The Debye-Waller Factors
4.12. Specific Heat of Quasi-Ideal Dilute Atomic and Diatomic Gases
4.13. Nanophysics and Inhomogeneity

Chapter 5 The World of Bosons
5.0. Quantum "Statistics"
5.1.Two Types of Bosons and Their Operators
5.2.Number Representation and the Many-Body Problem
5.3.The Adiabatic Process and Conservation of Entropy
5.4.Many-Body Perturbations
5.5. Photons
……
Chapter 6 All About Fermions: Theories of Metals,Superconductors, Semiconductors
Chapter 7 Kinetic Theory
Chapter 8 The Transfer Matrix
Chapter 9 Monte Carlo and Other Computer Simulation Methods
Chapter 10 Critical Phenomena and the Renormalization Group
Chapter 11 Some Uses of Quantum Field Theory in Statistical Physics