相变动力学是统计物理和凝聚态物理的一个重要分支，具有重要的基础意义与应用价值。本书是一本系统介绍相变动力学的专著，其内容涉及物理、化学、冶金及高分子科学中的许多问题，介绍了临界动力学，相有序化，缺陷动力学，成核动力学，斑图动力学，超临界流体动力学，临界点附近的沸腾，固体结构相变中的介观动力学等问题，对Ginzburg-Landau理论及重正化群理论也作了系统的介绍，并系统地应用。

本书为英文版。

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