Preface
1 Part one: Statics
Spin systems and fluids
1.1 Spin models
1.2 One-component fluids
1.3 Binary fluid mixtures
Appendix 1A Correlations with the stress tensor
References
2 Critical phenomena and scaling
2.1 General aspects
2.2 Critical phenomena in one-component fluids
2.3 Critical phenomena in binary fluid mixtures
2.4 4He near the superfluid transition
Appendix 2A Calculation in non-aze.otropic cases
References
3 Mean field theories
3.I Landau theory
3.2 Tricritical behavior
3.3 Bragg-Williams approximation
3.4 van der Waals theory
3.5 Mean field theories for polymers and gels
Appendix 3A Finite-strain theory
References
4 Advanced theories in statics
4.1 Ginzburg-Landau-Wilson free energy
4.2 Mapping onto fluids
4.3 Static renormalization group theory
4.4 Two-phase coexistence and surface tension
4.5 Vortices in systems with a complex order parameter
Appendix 4A Calculation of the critical exponent r/
Appendix 4B Random phase approximation for polymers
Appendix 4C Renormalization group equations for n-component systems
Appendix 4D Calculation of a free-energy correction
Appendix 4E Calculation of the structure factors
Appendix 4F Specific heat in two-phase coexistence
References
Part two: Dynamic models and dynamics in fluids and polymers
5 Dynamic models
5.1 Langevin equation for a single particle
5.2 Nonlinear Langevin equations with many variables
5.3 Simple time-dependent Ginzburg-Landau models
5.4 Linear response
Appendix 5A D, erivati0n of the Fokker-Plaiack equation
Appendix 5B Projection operator method
Appendix 5C Time reversal symmetry in equilibrium time-correlation functions
Appendix 5D Renormalization group calculation in purely dissipative dynamics
Appendix 5E Microscopic expressions for the stress tensor and energy curren
References
6 Dynamics in fluids
6.1 Hydrodynamic interaction in near-critical fluids
6.2 Critical dynamics in one-component fluids
6.3 Piston effect
6.4 Supercritical fluid hydrodynamics
6.5 Critical dynamics in binary fluid mixtures
6.6 Critical dynamics near the superfluid transition
6.7 4He near the superfluid transition in heat flow
Appendix 6A Derivation of the reversible stress tensor
Appendix 6B Calculation in the mode coupling theory
Appendix 6C Steady-state distribution in heat flow
Appendix 6D Calculation of the piston effect
References
7 Dynamics in polymers and gels
7.1 Viscoelastic binary mixtures
7.2 Dynamics in gels
7.3 Heterogeneities in the network structure
Appendix 7A Single-chain dynamics in a polymer melt
Appendix 7B Two-fluid dynamics of polymer blends
Appendix 7C Calculation of the time-correlation function
Appendix 7D Stress tensor in polymer solutions
Appendix 7E Elimination of the transverse degrees of freedom
Appendix 7F Calculation for weakly charged polymers
Appendix 7G Surface modes of a uniaxial gel
References
Part three: Dynamics of phase changes
8 Phase ordering and defect dynamics
8.1 Phase ordering in nonconserved systems
8.2 Interface dynamics in nonconserved systems
8.3 Spinodal decomposition in conserved systems
8.4 Interface dynamics in conserved systems
8.5 Hydrodynamic interaction in fluids
8.6 Spinodal decomposition and boiling in one-component fluids
8.7 Adiabatic spinodal decomposition
8.8 Periodic spinodal decomposition
8.9 Viscoelastic spinodal decomposition in polymers and gels
8.10 o Vortex motion and mutual friction
Appendix 8A Generalizations and variations of the Porod law
Appendix 8B The pair correlation function in the nonconserved case
Appendix 8C The Kawasaki-Yalabik-Gunton theory applied to periodic quench
Appendix 8D The structure factor tail for n = 2
Appendix 8E Differential geometry
Appendix 8F Calculation in the Langer-Bar-on-Miller theory
Appendix 8G The Stefan problem for a sphere and a circle
Appendix 8H The velocity and pressure close to the interface
Appendix 8I Calculation of vortex motion
References
9 Nucleation
9.1 Droplet evolution equation
9.2 Birth of droplets
9.3 Growth of droplets
9.4 Nucleation in one-component fluids
9.5 Nucleation at very low temperatures
9.6 Viscoelastic nucleation in polymers
9.7 Intrinsic critical velocity in superfluid helium
Appendix 9A Relaxation to the steady droplet distribution
Appendix 9B The nucleation rate near the critical point
Appendix 9C The asymptotic scaling functions in droplet growth
Appendix 9D Moving domains in the dissipative regime
Appendix 9E Piston effect in the presence of growing droplets
Appendix 9F Calculation of the quantum decay rate
References
10 Phase transition dynamics in solids
10.1 Phase separation in isotropic elastic theory
10.2 Phase separation in cubic solids
10.3 Order-disorder and improper martensitic phase transitions
10.4 Proper martensitic transitions
10.5 Macroscopic instability
10.6 Surface instability
Appendix 10A Elimination of the elastic field
Appendix 10B Elastic deformation around an ellipsoidal domain
Appendix 10C Analysis of the Jahn-Teller coupling
Appendix 10D Nonlocal interaction in 2D elastic theory
Appendix 10E Macroscopic modes of a sphere
Appendix 10F Surface modes on a planar surface
References
11 Phase transitions of fluids in shear flow
11.1 Near-critical fluids in shear
11.2 Shear-induced phase separation
11.3 Complex fluids at phase transitions in shear flow
11.4 Supercooled liquids in shear flow
Appendix 11.A Correlation functions in velocity gradient
References
Index
