Chapter 1 A Brief Introduction to Soft Matter
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
7. l Two-Dimensional Governing Equations of Soft-Matter Quasicrystals of
12-Fold Symmetry
7.2 Simplification of Governing Equations
7.3 Dislocation and Solution
7.4 Generalized Oseen Approximation Under Condition of Lower Reynolds Number
7.5 Steady Dynamic Equations Under Oseen Modification in Polar Coordinate System
7.6 Flow Past a Circular Cylinder
7.7 Three-Dimensional Equations of Generalized Dynamics of Soft-Matter Quasicrystals with 12-fold Symmetry
7.8 Possible Crack Problem and Analysis
7.9 Conclusion and Discussion
Chapter 8 Dynamics of Possible 5- and 10-Fold Symmetrical Soft-Matter Quasicrystals '
8.1 Statement on Possible Soft-Matter Quasicrystals of 5- and 10-Fold Symmetries
8.2 Two-Dimensional Basic Equations of Soft-Matter Quasicrystals of
Point Groups 5, 5 and 10, ]-6
8.3 Dislocations and Solutions
8.4 Probe on Modification of Dislocation Solution by Considering Fluid Effect
8.5 Transient Dynamic Analysis
8.6 Three-Dimensional Equations of Point Group lOmm Soft-Matter Quasicrystals
8.7 Conclusion and Discussion
Chapter 9 Dynamics of Possible Soft-Matter Quasicrystals of 8-Fold Symmetry
9.1 Basic Equations of Possible Soft-Matter 8-Fold Symmetrical Quasicrystals
9.2 Dislocation in Quasicrystals with 8-Fold Symmetry
9.3 Transient Dynamics Analysis
9.4 Flow Past a Circular Cylinder
9.5 Three-Dimensional Soft-Matter Quasicrystals with 8-Fold Symmetry of Point Groups 8mm
9.6 Conclusion and Discussion
Chapter 10 Dynamics of Soft-Matter Quasicrystals with 18-Fold Symmetry
10.1 Six-Dimensional Embedded Space
10.2 Elasticity of Possible Solid Quasicrystals with 18-Fold Symmetry
10.3 Dynamics of Quasicrystals of 18-fold Symmetry with Point Group 18mm
10.4 The Steady Dynamic and Static Case of First and Second Phason Fields
10.5 Dislocations and Solutions
10.6 Discussion on Transient Dynamics Analysis
10.7 Other Solutions
Chapter 11 The Possible 7-, 9- and 14-Fold Symmetry Ouasicrystals in Soft Matter
l1.1 The Possible 7-Fold Symmetry Quasicrystals with Point Group 7m of Soft Matter and the Dynamic Theory
11.2 The Possible 9-Fold Symmetrical Quasicrystals with Point Group 9m of Soft Matter and Their Dynamics ___
11.3 Dislocation Solutions of the Possible 9-Fold Symmetrical Quasicrystals of Soft Matter
11.4 The Possible 14-Fold Symmetrical Quasicrystals with Point Group 14mm of Soft Matter and Their Dynamics
11.5 The Solutions and Possible Solutions of Statics and Dynamics of 7- and 14-Fold Symmetrical Quasicrystals or Soft Matter
11.6 Conclusion and Discussion
Chapter 12 An Application of Analytic Methods to Smectic A Liquid Crystals, Dislocation and Crack
12.1 Basic Equations
12.2 The Kleman-Pershan Solution of Screw Dislocation
12.3 Common Fundamentals of Discussion
12.4 The Simplest and Most Direct Solving Way and Additional Boundary Condition
12.5 Mathematical Mistakes of the Classical Solution
12.6 The Physical Mistakes of the Classical Solution
12.7 Meaning of the Present Solution
12.8 Solution of Plastic Crack
Chapter 13 Conclusion Remarks