这是一本优秀的统计物理学的研究生教材,作者是著名的理论物理学家Leo P. Kadanoff,他在统计物理学的许多方面都做出过开拓性的贡献,特别是临界现象的重正化群理论。因此,本书在许多概念和理论的阐述方面都很深刻,很有特色。本书不仅包括统计物理学的基本内容,还有一些更深的内容,以把学生引到开展研究的水平。书中还附了许多重要的经典论文,大大方便了读者。
Introduction
Ⅰ Fundamentals of Statistical Physics
1 The Lectures——A Survey
1.1 The Journey: Many Different Approaches
1.2 The Main Sights
1.3 Is the Trip Worthwhile?
2 One Particle and Many
2.1 Formulation
2.2 The Ising Model
2.3 N Indepenedent Particles——Quantum Description
2.4 A Verages From Derivatives
2.5 N Independent Particles in a Box
2.6 Fluctuations Big and Small
2.7 AThe Problems of Statistical Physics
3 Gaussian Distributions
3.1 Introduction
3.2 One Variable
3.3 Many Gaussian Varialbles
3.4 Lattice Green Function
3.5 Gaussian Random Functions
3.6 Central Limit Theorem
3.7 Distribution of Energies
3.8 Large Deviations
3.9 On almost gaussina Integrals
3.10 Three Versions of Gaussian Problems
4 Quantum Mechanics and Lattices
4.1 All of Quantum Mechanics in One Brief Section
4.2 From d=1 Models to Quantum Mechanics
4.3 An Example: The Linear Ising Chain
4.4 One-Dimensional Gaussian Model
4.5 Coherence Length
4.6 Operator Averages
4.7 Correlation Functions
4.8 Ising Correlations
4.9 Two-Dimensional Ising Model
Ⅱ Random Dynamics
5 Diffusion and Hopping
6 From Hops to Statistical Mechanics
7 Correlations and Response
Ⅲ Mor Statistical Mechanics
8 Statistical Thermodynamics
9 Fermi, Bose, and Other
Ⅳ Phase Transitions
10 Overview of Phase Transtions
11 Mean Fiel Theory of Critical Behavior
12 Continuous Phase Transitions
13 Renormaliztion in One Dimension
14 Real Space Renormaliztion Techniques
15 Duality
16 Planar Model and Coulomb Systems
17 SY Model, Renormaliztion, and Duality
Index