PREFACE TO THE SECOND EDITION
PREFACE TO THE FIRST EDITION
HISTORICAL INTRODUCTION
Notes
Chapter 1 The Statistical Basis of Thermodynamics
1.1 The macroscopic and the microscopic states
1.2 Contact between statistics and thermodynamics:physical significance of the numberΩ(N,V,E)
1.3 Further contact between statistics and thermody namiscs
1.4 The classical ideal gas
1.5 The entropy of mixing and the Gibbs paradox
1.6 The “correct”enumeration of the microstates
Problems
Notes
Chapter 2 Elements of Ensemble Theory
2.1 Phase space of a classical system
2.2 Liouville's theorem and its consequences
2.3 The microcanonical ensemble
2.4 Examples
2.5 Quantum states and the phase space
Problems
Notes
Chapter 3 The Canonical Ensemble
3.1 Equilibrium between a system and a heat reservoir
3.2 A system in the canonical ensemble
3.3 Physical significance of the various statistical quantities in the canonical ensemble
3.4 A lternative expressions for the partition function
3.5 The classical systems
3.6 Energy fluctuations in the canonical ensemble:correspondence with the microcanonical ensemble
3.7 Two theorems-the“equipartition”and the“virial”
3.8 A system of harmonic oscillators
3.9 The statistics of paramsagnetism
3.10 Thermodynamica of magnetic systems:negative temperatures
Problems
Notes
Chapter 4 The Grand Canonical Ensemble
Chapter 5 Formulation of Quantum Statistics
Chapter 6 The Theory of Simple Gases
Chapter 7 Ideal Bose Systems
Chapter 8 Ideal Fermi Systems
Chapter 9 Statistical Mechanics of Interacting Systems:The Method of Cluster Expansions
Chapter 10 Statistical Mechanics of Interacting Systems:The Method of Quantized Fields
Chapter 11 Phase Transitions:Criticality,Universality and Scaling
Chapter 12 Phase Transitions:Exact(or Almost Exact)Results for the Various Models
Chapter 13 Phase Transitions:The Renormalization Group Approach
Chapter 14 Fluctuations
APPENDIXES
BIBLIOGRAPHY
INDEX