1. Basic Principles 1.1 Introduction 1.2 A Brief Excursion into Probability Theory 1.3 Ensembles in Classical Statistics 1.4 Quantum Statistics *1.5 Additional Remarks Problems 2. Equilibrium Ensembles 2.1 Introductory Remarks 2.2 Microcanonical Ensembles 2.3 Entropy 2.3.1 General Definition 2.4 Temperature and Pressure 2.5 Properties of Some Non-interacting Systems 2.6 The Canonical Ensemble 2.7 The Grand Canonical Ensemble Problems 3. Thermodynamics 3.1 Potentials and Laws of Equilibrium Thermodynamics 3.2 Derivatives of Thermodynamic Quantities 3.3 Fluctuations and Thermodynamic Inequalities 3.4 Absolute Temperature and Empirical Temperatures 3.5 Thermodynamic Processes 3.6 The First and Second Laws of Thermodynamics 3.7 Cyclic Processes 3.8 Phases of Single-Component Systems 3.9 Equilibrium in Multicomponent Systems Problems 4. Ideal Quantum Gases 4.1 The Grand Potential 4.2 The Classical Limit z=eμ/kt《1 4.3 The Nearly-degenerate Ideal Fermi Gas 4.4 The Bose-Einstein Condensation 4.5 The Photon Gas 4.6 Phonons in Solids 4.7 Phonons und Rotons in He II Problems 5. Real Gases，Liquids，and Solutions 5.1 The Ideal Molecular Gas *5.2 Mixtures of Ideal Molecular Gases 5.3 The Virial Expansion 5.4 The Van der Waals Equation of State 5.5 Dilute Solutions Problems 6. Magnetism 6.1 The Density Matrix and Thermodynamics 6.2 The Diamagnetism of Atoms 6.3 The Paramagnetism of Non-coupled Magnetic Moments 6.4 Pauli Spin Paramagnetism 6.5 Ferromagnetism *6.6 The Dipole Interaction，Shape Dependence， Internal and External Fields 6.7 Applications to Related Phenomena Problems 7. Phase Transitions，Renormalization Group Theory, and Percolation7.1 Phase Transitions and Critical Phenomena 7.2 The Static Scaling Hypothesis 7.3 The Renormalization Group *7.4 The Ginzburg-Landau Theory *7.5 Percolation Problems 8.Brownian Motion，Equations of Motion and the Fbkker-Planck Equations 8.1 Langevin Equations 8.2 The Derivation of the Fbkker-Planck Equation from the Langevin Equation 8.3 Examples and Applications Problems 9.The Boltzmann Equation 9.1 Introduction 9.2 Derivation of the Boltzmann Equation 9.3 Consequences of the Boltzmann Equation 9.3.1 The H-Theorem and Irreversibility *9.4 The Linearized Boltzmann Equation *9.5 Supplementary Remarks Problems 10.Irreversibility and the Approach to Equilibrium 10.1 Preliminary Remarks 10.2 Recurrence Time 10.3 The Origin of Irreversible Macroscopic Equations of Motion *10.4 The Master Equation and Irreversibility in Quantum Mechanics 10.5 Probability and Phase—Space Volume 10.6 The Gibbs and the Boltzmann Entropies and their Time Dependences 10.7 Irreversibility and Time Reversal *10.8 Entropy Death or Ordered Structures? Problems Appendix A.Nernst’s Theorem(Third Law) B.The Classical Limit and Quantum Corrections C.The Perturbation Expansion D. The Riemann ζ-Function and the Bernoulli Numbers E. Derivation of the Ginzburg-Landau Fhnctional F. The nansfer Matrix Method G. Integrals Containing the Maxwell Distribution H. Hydrodynamics I.Units and Tables Subject Index
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