| Preface | p. ix |
| Introduction | p. 1 |
| Foundations of equilibrium statistical mechanics | p. 5 |
| The classical distribution function | p. 7 |
| Foundations of equilibrium statistical mechanics | p. 7 |
| Liouville's theorem | p. 14 |
| The distribution function depends only on additive constants of the motion | p. 16 |
| Microcanonical distribution | p. 20 |
| References | p. 24 |
| Problems | p. 24 |
| Quantum mechanical density matrix | p. 27 |
| Microcanonical density matrix | p. 33 |
| Reference | p. 34 |
| Problems | p. 34 |
| Thermodynamics | p. 37 |
| Definition of entropy | p. 37 |
| Thermodynamic potentials | p. 38 |
| Some thermodynamic relations and techniques | p. 42 |
| Constraints on thermodynamic quantities | p. 46 |
| References | p. 49 |
| Problems | p. 49 |
| Semiclassical limit | p. 51 |
| General formulation | p. 51 |
| The perfect gas | p. 52 |
| Problems | p. 56 |
| States of matter in equilibrium statistical physics | p. 57 |
| Perfect gases | p. 59 |
| Classical perfect gas | p. 60 |
| Molecular ideal gas | p. 62 |
| Quantum perfect gases: general features | p. 69 |
| Quantum perfect gases: details for special cases | p. 71 |
| Perfect Bose gas at low temperatures | p. 74 |
| Perfect Fermi gas at low temperatures | p. 78 |
| References | p. 81 |
| Problems | p. 81 |
| Imperfect gases | p. 85 |
| Method I for the classical virial expansion | p. 86 |
| Method II for the virial expansion: irreducible linked clusters | p. 95 |
| Application of cumulants to the expansion of the free energy | p. 102 |
| Cluster expansion for a quantum imperfect gas (extension of method I) | p. 108 |
| Gross-Pitaevskii-Bogoliubov theory of the low temperature weakly interacting Bose gas | p. 115 |
| References | p. 122 |
| Problems | p. 122 |
| Statistical mechanics of liquids | p. 125 |
| Definitions of n-particle distribution functions | p. 126 |
| Determination of g(r) by neutron and x-ray scattering | p. 128 |
| BBGKY hierarchy | p. 133 |
| Approximate closed form equations for g(r) | p. 135 |
| Molecular dynamics evaluation of liquid properties | p. 136 |
| References | p. 143 |
| Problems | p. 144 |
| Quantum liquids and solids | p. 145 |
| Fundamental postulates of Fermi liquid theory | p. 146 |
| Models of magnets | p. 150 |
| Physical basis for models of magnetic insulators: exchange | p. 150 |
| Comparison of Ising and liquid-gas systems | p. 153 |
| Exact solution of the paramagnetic problem | p. 153 |
| High temperature series for the Ising model | p. 154 |
| Transfer matrix | p. 157 |
| Monte Carlo methods | p. 158 |
| References | p. 159 |
| Problems | p. 160 |
| Phase transitions: static properties | p. 161 |
| Thermodynamic considerations | p. 161 |
| Critical points | p. 166 |
| Phenomenology of critical point singularities: scaling | p. 167 |
| Mean field theory | p. 172 |
| Renormalization group: general scheme | p. 177 |
| Renormalization group: the Landau-Ginzburg model | p. 181 |
| References | p. 189 |
| Problems | p. 189 |
| Dynamics | p. 193 |
| Hydrodynamics and definition of transport coefficients | p. 195 |
| General discussion | p. 195 |
| Hydrodynamic equations for a classical fluid | p. 196 |
| Fluctuation-dissipation relations for hydrodynamic transport coefficients | p. 199 |
| References | p. 214 |
| Problems | p. 214 |
| Stochastic models and dynamical critical phenomena | p. 217 |
| General discussion of stochastic models | p. 217 |
| Generalized Langevin equation | p. 217 |
| General discussion of dynamical critical phenomena | p. 221 |
| References | p. 242 |
| Problems | p. 242 |
| Solutions to selected problems | p. 243 |
| Index | p. 281 |
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