Page 9 - STATISTICAL MECHANICS: From First Principles to Macroscopic Phenomena

Contents vii

9 Phase transitions: static properties 161
Thermodynamic considerations 161
Critical points 166
Phenomenology of critical point singularities: scaling 167
Mean field theory 172
Renormalization group: general scheme 177
Renormalization group: the Landau–Ginzburg model 181
References 189
Problems 189
Part III Dynamics 193
10 Hydrodynamics and definition of transport coefficients 195
General discussion 195
Hydrodynamic equations for a classical fluid 196
Fluctuation–dissipation relations for hydrodynamic transport
coefficients 199
References 214
Problems 214
11 Stochastic models and dynamical critical phenomena 217
General discussion of stochastic models 217
Generalized Langevin equation 217
General discussion of dynamical critical phenomena 221
References 242
Problems 242

Appendix: solutions to selected problems 243
Index 281