Chapter 2 Discovery of Soft-Matter Quasicrystals and Their Properties 2£®1 Soft-Matter Quasicrystals with 12- and 18-fold Symmetries 2£®2 Characters of Soft-Matter Quasicrystals 2£®3 Some Concepts Concerning Possible Hydrodynamics of Soft-Matter Quasicrystals 2£®4 First and Second Kinds of Two-Dimensional Quasicrystals 2£®5 Motivation of Our Discussion in the Book
Chapter 3 Review in Brief of Elasticity and Hydrodynamics of Solid Quasicrystals 3£®1 Physical Basis of Elasticity of Quasicrystals£¬ Phonons and Phasons 3£®2 Deformation Tensors 3£®3 Stress Tensors and Equations of Motion 3£®4 Free Energy Density and Elastic Constants 3£®5 Generalized Hooke\'s Law 3£®6 Boundary Conditions and Initial Conditions 3£®7 Solutions of Elasticity 3£®8 Generalized Hydrodynamics of Solid Quasicrystals 3£®9 Solution of Generalized Hydrodynamics of Solid Quasicrystals 3£®10 Conclusion and Discussion
Chapter 4 Equation of State of Some Structured Fluids 4£®1 Overview on Equation of State in some Fluids 4£®2 Possible Equations of State 4£®3 Applications to Hydrodynamics of Soft-Matter Quasicrystals
Chapter 5 Poisson Brackets and Derivation of Equations of Motion of Soft-Matter Quasicrystals 5£®1 Brown Motion and Langevin Equation 5£®2 Extended Version of Langevin Equation 5£®3 Multivariable Langevin Equation£¬ Coarse Graining 5£®4 Poisson Bracket Method in Condensed Matter Physics 5£®5 Application to Quasicrystals 5£®6 Equations of Motion of Soft-Matter Quasicrystals 5£®7 Poisson Brackets Based on Lie Algebra
Chapter 6 Oseen Flow and Generalized Oseen Flow 6£® l Navier-Stokes Equations 6£®2 Stokes Approximation 6£®3 Stokes Paradox 6£®4 Oseen Modification 6£®5 Oseen Steady Solution of Flow of Incompressible Fluid Past Cylinder 6£®6 Generalized Oseen Flow of Compressible Viscous Fluid Past a Circular Cylinder ¡¡
Chapter 7 Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry Chapter 8 Dynamics of Possible 5- and 10-Fold Symmetrical Soft-Matter Quasicrystals Chapter 9 Dynamics of Possible Soft-Matter Quasicrystals of 8-Fold Symmetry Chapter 10 Dynamics of Soft-Matter Quasicrystals with 18-Fold Symmetry Chapter 11 The Possible 7-£¬ 9- and 14-Fold Symmetry Ouasicrystals in Soft Matter Chapter 12 An Application of Analytic Methods to Smectic A Liquid Crystals£¬ Dislocation and Crack Chapter 13 Conclusion Remarks