Fundamentals of statistical mechanics - Bloch
Textbook information
- Text book title : Fundamentals of statistical mechanics
- Author : Bloch
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- File size :2.40 Mb
- File format : DJVU File
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Chapter I: Introduction and Basic Concepts ........... 1
Chapter II: Classical Physics .................. 3
- 1. Hamilton's Equations ................. 3
- 2. Phase Space .................... 14
- 3. Liouville's Theorem ................. 15
- Chapter III: The Statistical Ensemble ............. 24
- 4. Distribution Function and Probability Density ...... 24
- 5. Mean Values .................... 26
- Additive Quantities ................ 30
- 6. Time Dependence of the Phase Density ......... 33
- Chapter IV: Thermal Equilibrium and The Canonical Distribution 40
- 7. Stationary Mean Values ............... 40
- Conditions of Equilibrium ............. 42
- 8. Constancy of the Distribution Function ......... 43
- 9. The Canonical Distribution .............. 50
- 10. Thermodynamic Functions .............. 55
- 11. The Partition Function ................ 61
- 12. The Statistical Significance of Entropy .......... 62
- Chapter V: Applications of Classical Statistics ......... 74
- 13. Ideal Monaromic Gases ................ 74
- Energy ..................... 77
- Heat Capacity .................. 77
- Entropy ..................... 78
- Free Energy ................... 78
- Distribution in the #-Space ............ 79
- 14. The Virial Theorem ................. 80
- 15. The Equipartition Theorem .............. 92
- 16. Examples ...................... 95
- Mean Kinetic Energy ............... 95
- Diatomic Molecules ................ 95
- Rigid Rotations ................ 98
- Vibrations .................. 100
- Solids ...................... 106
- Normal Coordinates ............. 110
- Linear Chain ................. 116
- Periodic Boundary Conditions .......... 126
- Three-Dimensional Solid ............ 133
- Black-Body Radiation ............... 138
- 17. Magnetism ..................... 145
- Chapter VI: Quantum Statistics ............... 157
- 18. Basic Elements of Quantum Mechanics ......... 157
- 19. The Density Matrix ................. 162
- 20. The Statistical Ensemble ............... 164
- 21. Time Dependence of the Density Matrix ........ 174
- 22. Thermal Equilibrium ................. 177
- 23. The Canonical Distribution .............. 184
- 24. Thermodynamic Functions and the Partition Function . 187
- The Nernst Heat Theorem ............. 189
- Chapter VII: Applications of Quantum Statistics ........ 193
- 25. Ideal Monaromic Gases ................ 193
- 26. Mean Energy of Harmonic Oscillator .......... 197
- 27. Examples ...................... 200
- Diatomic Molecules ................ 200
- Specific Heat of Solids ............... 209
- The Debye Approximation ........... 210
- Black-Body Radiation ............... 215
- Magnetism .................... 216
- Weiss Theory of Ferromagnetism ........ 222
- Transition from Quantum to Classical
- Statistical Mechanics ............ 223
- 28. Identical Particles .................. 225
- 29. The Grand Canonical Ensemble ............ 229
- 30. Fermi Statistics ................... 233
- 31. Bose Statistics ................... 243
- Appendix A: Canonical Transformations and Poisson Brackets 251
- Appendix B: General Proof of Liouville's Theorem ....... 258
- Appendix C: Molecular Distributions ............. 262
- Appendix D: Some Properties of Fourier Series ......... 265
- Appendix E: Basic Texts and Monographs ........... 267
- Problems ......................... 271
- Index ........................... 297