Statistical Mechanics

FOREWORD by John. G. Kirkwood PREFACE CHAPTER 1. PRINCIPLES OF CLASSICAL STATISTICAL MECHANICS 1. Statistical Mechanics and Thermodynamics 2. Phase Space 3. Ensembles 4. Postulate on the Use of Ensemble Averages 5. Postulate on the Form of the Distribution Function 6. Grand Ensembles 7. Ergodic Theory CHAPTER 2. PRINCIPLES OF QUANTUM STATISTICAL MECHANICS 8. Review of Quantum Mechanics 9. Ensembles and Ensemble Averages in Quantum Statistical Mechanics 10. Postulate on the Use of Ensemble Averages 11. Postulate on the Form of the Density Matrix 12. Grand Ensembles 13. Derivation of Generalized Ensembles from the Microcanonical Ensemble CHAPTER 3. STATISTICAL MECHANICS AND THERMODYNAMICS 14. Association of Thermodynamic Variables with Statistical Mechanical Quantities 15. Summary of Ensembles 16. Transition from Quantum to Classical Statistics 17. Entropy and Irreversibility in Thermodynamics CHAPTER 4. FLUCTUATIONS 18. Introduction 19. Fluctuations According to the Various Ensembles 20. Thermodynamic Equivalence of Ensembles 21. Composition Fluctuations in Multicomponent Systems CHAPTER 5. THEORY OF IMPERFECT GASES AND CONDENSATION 22. The Partition Function and Cluster Integrals 23. Pressure of the Gas Expressed as a Power Series in the Activity 24. Irreducible Cluster Integrals 25. The Virial Expansion for the Gas 26. Alternative Derivations 27. Exact Treatment of Physical Clusters 28. Theory of Condensation CHAPTER 6. DISTRIBUTION FUNCTIONS AND THE THEORY OF THE LIQUID STATE A. CANONICAL ENSEMBLE 29. Definition of Distribution and Correlation Functions 30. Thermodynamic Functions of a Fluid and the Radial Distribution Function 31. Potential of Mean Force and the Superposition Approximation 32. The Kirkwood Integral Equation 33. The Born-Green-Yvon Integral Equation 34. Radial Distribution Function and Superposition Approximation in Gases 35. Fluid of Hard Spheres According to the Superposition Approximation 36. Fluid with Modified Lennard-Jones Molecular Interaction Potential According to the Superposition Approximation B. GRAND CANONICAL ENSEMBLE 37. "Distribution Functions in Monatomic, One-component Systems" 38. The Kirkwood-Salsburg Integral Equation 39. Distribution Functions at a Phase Transition 40. "Distribution Functions in Polyatomic, Multicomponent Systems" CHAPTER 7. NEAREST-NEIGHBOR LATTICE STATISTICS 41. Thermodynamics and Interconnections 42. Exat and Formal Methods 43. One-dimensional Lattice 44. Two-dimensional Lattice 45. Three-dimensional Lattice 46. Approximate Methods CHAPTER 8. LATTICE THEORIES OF THE LIQUID AND SOLID STATES 47. Communal Entropy and Free Volume 48. General Free-volume Theory 49. The Lennard-Jones and Devonshire Theory 50. Hole Theories of the Liquid and Solid States APPENDIXES 1. Natural Constants 2. "One-component, Perfect Monatomic Gas" 3. Binary Perfect-gas Mixture 4. One-component Perfect Lattice Gas 5. Multilayer Gas Adsorption 6. Quantum and Classical Limits 7. Normalization of Radial Distribution Function 8. Glossary of Certain Definitions in Chapter 7 9. First-order Phase Transitions 10. Gas Adsorption on a Solid Surface INDEX