Introduction To Statistical Mechanics

Contents......Page 5 Preface......Page 3 Section 1: The Aims of Statistical Mechanics......Page 8 Section 2: Classical Mechanical Averages......Page 10 Phase Space and Liouville's Theorem......Page 12 The Microcanonical Ensemble......Page 15 Section 3: The Perfect Gas......Page 16 Section 4: Quantum Mechanical Averages......Page 18 Section 5: Types of Assembly......Page 20 Section 7: The Expression of Averages as Integrals......Page 26 Section 8: The Classical Assembly: Evaluation of Integrals......Page 30 The Partition Function......Page 32 Section 9: The Condition for Thermal Equilibrium......Page 33 The Identification of Temperature......Page 36 Other Thermodynamic Quantities......Page 38 Section 10: The Perfect Monatomic Gas......Page 39 Section 11: The Macrocanonical Ensemble......Page 43 The Macrocanonical and Microcanonical Ensembles......Page 46 Section 12: Fluctuations......Page 48 Section 13: The Specific Heats of Real Gases: Translational, Electronic and Vibrational Contributions......Page 51 The Rotational Specific Heat......Page 56 The Specific Heat of HD......Page 58 The Specific Heat of H_2......Page 59 The Specific Heat of D_2......Page 63 Section 14: The Weiss Theory of Ferromagnetism: the Partition Function......Page 64 The "Average Field" Assumption......Page 66 Hysteresis: Domain Theory......Page 71 Section 15: Quantum Assemblies......Page 74 The Use of Classical Statistics......Page 76 Section 16: Thermodynamic Variables and the Grand Partition Function......Page 78 Section 17: The Grand Canonical Ensemble......Page 83 The Physical Significance of the Grand Canonical Ensemble......Page 85 The Use of Different Ensembles......Page 86 The Classical Grand Canonical Ensemble......Page 87 Some Useful Formulae......Page 89 Fluctuations......Page 90 Assemblies with Several Different Constituents......Page 92 Section 18: The Sommerfeld Model of Electrons in Metals: The Fermi Distribution......Page 93 The Electronic Specific Heat......Page 96 The Validity of the Sommerfeld Model......Page 101 Section 19: Thermionic Emission: the Richardson Effect......Page 103 Section 20: Equilibrium Conditions for Assemblies with Interacting Constituents: a Simple Type of Equilibrium......Page 109 The Law of Mass Action......Page 112 General Conditions for Equilibrium......Page 116 Equilibrium of Hydrogen Isotopes......Page 121 Section 21: Absolute Entropy......Page 125 Section 22: The Nernst Heat Theorem......Page 127 Section 23: The Harmonic Oscillator and the Field of Radiation: the Oscillator Partition Function......Page 131 The Field of Radiation: Oscillator and Photon Pictures......Page 133 Properties of the Field of Radiation......Page 136 Section 24: The Debye Theory of Crystals: Oscillations and Phonons......Page 139 The Debye Assumption......Page 142 The Specific Heat and the Debye Temperature......Page 144 Section 25: The Complete Grand Partition Function for a Crystal......Page 147 Section 26: The Equilibrium of a Crystal and Its Vapour......Page 151 Appendix......Page 158 Book List......Page 162 Index......Page 163