統計力學（第2版）

《統計力學（第2版）》是2012年世界圖書出版公司出版的著作，作者是馬提斯。

基本介紹

• 中文名：統計力學（第2版）
• 作者：馬提斯
• ISBN：9787510042805
• 出版社：世界圖書出版公司

內容提要

For this new edition， each chapter was revised and improved，typos corrected and figures added， some in response to many helpfulments on the first edition. We especially thank Professor MiltonW. Cole for his correction of a factor 2 in the specific heat of a1D hard-core Bose gas. Additionally， solutions to somerepresentative problems have been included in an Appendix.

But， more t.han mere revision and expansion of the material， itis the wit and knowledge of a new co-author that has greatlyimproved the present text. Thanks to this couaboration the topicsof renormalization group and Monte-Carlo numerical techniques couldbe treated on a par with more conventional elements of statisticalthermodynamics. The addition of these important subjects and theexpansion of topics that previously had been just many-body theoryand phase transitions. We present this new edition in the hope itwill better serve the contemporary student while offering to theinstructor a wider， more useful choice of lecture materials.

目錄

Preface to Second Edition

Preface to First Edition

Introduction: Theories of Thermodynamics, Kiic 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 Paramagism

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 Magic 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 DiatomicGases

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 Kiic 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 StatisticalPhysics