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CHAPTER V. Specific Heat of Onsager’s Lattice in the Absence of a Magnetic Field
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Chapters in this book
- Frontmatter i
- PREFACE vii
- CONTENTS xiii
- CHAPTER I. Introduction 1
- CHAPTER II. Statistical Mechanics 7
- CHAPTER III. The One-Dimensional Ising Model 31
- CHAPTER IV. Dimer Statistics 44
- CHAPTER V. Specific Heat of Onsager’s Lattice in the Absence of a Magnetic Field 76
- CHAPTER VI. Boundary Specific Heat and Magnetization 113
- CHAPTER VII. Boundary Spin-Spin Correlation Functions 142
- CHAPTER VIII. The Correlation Functions <σ₀.₀σ₀,N > and <σ₀,₀σN,N> 177
- CHAPTER IX. Wiener-Hopf Sum Equations 203
- CHAPTER Χ. Spontaneous Magnetization 216
- CHAPTER XI. Behavior of the Correlation Functions (σ₀,₀σ₀,N) and <σ₀,₀σN,N> for Large Ν 249
- CHAPTER XII. Asymptotic Expansion of <σ₀, ₀σM,N> 284
- CHAPTER XIII. Boundary Hysteresis and Spin Probability Functions 313
- CHAPTER XIV. An Ising Model with Random Impurities: Specific Heat 345
- CHAPTER XV. An Ising Model with Random Impurities: Boundary Effects 372
- CHAPTER XVI. Epilogue 400
- APPENDIX A. 405
- APPENDIX Β. 411
- INDEX 413
Chapters in this book
- Frontmatter i
- PREFACE vii
- CONTENTS xiii
- CHAPTER I. Introduction 1
- CHAPTER II. Statistical Mechanics 7
- CHAPTER III. The One-Dimensional Ising Model 31
- CHAPTER IV. Dimer Statistics 44
- CHAPTER V. Specific Heat of Onsager’s Lattice in the Absence of a Magnetic Field 76
- CHAPTER VI. Boundary Specific Heat and Magnetization 113
- CHAPTER VII. Boundary Spin-Spin Correlation Functions 142
- CHAPTER VIII. The Correlation Functions <σ₀.₀σ₀,N > and <σ₀,₀σN,N> 177
- CHAPTER IX. Wiener-Hopf Sum Equations 203
- CHAPTER Χ. Spontaneous Magnetization 216
- CHAPTER XI. Behavior of the Correlation Functions (σ₀,₀σ₀,N) and <σ₀,₀σN,N> for Large Ν 249
- CHAPTER XII. Asymptotic Expansion of <σ₀, ₀σM,N> 284
- CHAPTER XIII. Boundary Hysteresis and Spin Probability Functions 313
- CHAPTER XIV. An Ising Model with Random Impurities: Specific Heat 345
- CHAPTER XV. An Ising Model with Random Impurities: Boundary Effects 372
- CHAPTER XVI. Epilogue 400
- APPENDIX A. 405
- APPENDIX Β. 411
- INDEX 413