Preface |
Acknowledgements |
Introduction / 1: |
The Discovery of Liquid Crystals / 1.1: |
Basic Descriptions of Liquid Crystals / 1.2: |
The Development of the Continuum Theory of Liquid Crystals / 1.3: |
Notation and Conventions / 1.4: |
Static Theory of Nematics / 2: |
The Frank-Oseen Elastic Energy / 2.1: |
The Nematic Energy / 2.2.1: |
The Cholesteric Energy / 2.2.2: |
Electric and Magnetic Fields / 2.3: |
Electric Fields and the Electric Energy / 2.3.1: |
Magnetic Fields and the Magnetic Energy / 2.3.2: |
Comments on Fields and Units / 2.3.3: |
Equilibrium Equations / 2.4: |
Preliminaries / 2.4.1: |
Derivation of the Equilibrium Equations / 2.4.2: |
General Equilibrium Solutions / 2.5: |
Anchoring and Boundary Conditions / 2.6: |
No Anchoring / 2.6.1: |
Strong Anchoring / 2.6.2: |
Conical Anchoring / 2.6.3: |
Weak Anchoring / 2.6.4: |
Reformulation of Equilibrium Equations / 2.7: |
Bulk Equilibrium Equations / 2.7.1: |
Reformulation of Boundary Conditions / 2.7.2: |
Applications of Static Theory of Nematics / 3: |
Some Equilibrium Solutions / 3.1: |
Elementary Equilibrium Solutions / 3.2.1: |
Tilt and Twist Equilibrium Solutions / 3.2.2: |
Magnetic Coherence Length / 3.3: |
Freedericksz Transitions / 3.4: |
The Classical Freedericksz Transitions in Nematics / 3.4.1: |
Pretilt at the Boundaries / 3.4.2: |
Tilted Fields / 3.4.3: |
Electric Field Effects / 3.5: |
Weak Anchoring Effects / 3.6: |
The Twisted Nematic Device / 3.7: |
Defects / 3.8: |
Axial Line Disclinations / 3.8.1: |
Perpendicular Disclinations / 3.8.2: |
Boundary Line Disclinations / 3.8.3: |
Point Defects at a Surface / 3.8.4: |
Dynamic Theory of Nematics / 4: |
The Ericksen-Leslie Dynamic Equations / 4.1: |
Kinematics and Material Frame-Indifference / 4.2.1: |
Balance Laws / 4.2.2: |
Constitutive Equations / 4.2.3: |
The Dynamic Equations / 4.2.4: |
Summary of the Ericksen-Leslie Dynamic Equations / 4.2.5: |
Reformulation of the Dynamic Equations / 4.3: |
The Nematic Viscosities / 4.4: |
Applications of Dynamic Theory of Nematics / 5: |
A Simple Flow Alignment / 5.1: |
A Transverse Flow Effect / 5.3: |
The Zwetkoff Experiment / 5.4: |
Shear Flow / 5.5: |
Newtonian and Non-Newtonian Behaviour / 5.5.1: |
Governing Equations for Shear Flow / 5.5.2: |
Shear Flow Near a Boundary / 5.5.3: |
Shear Flow between Parallel Plates / 5.5.4: |
Scaling Properties / 5.5.5: |
Oscillatory Shear Flow / 5.6: |
Oscillatory Shear Flow Solutions / 5.6.1: |
Stability and Instability / 5.6.2: |
Couette Flow / 5.7: |
The Anisotropic Fluid Case / 5.7.1: |
The Nematic Liquid Crystal Case / 5.7.2: |
Poiseuille Flow / 5.8: |
Results from a Scaling Analysis / 5.8.1: |
Dynamics of the Freedericksz Transition / 5.9: |
Dynamics in the Twist Geometry / 5.9.1: |
Backflow and Kickback in the Splay Geometry / 5.9.2: |
Backflow in the Bend Geometry / 5.9.3: |
Light Scattering / 5.10: |
Theory of Smectic C Liquid Crystals / 6: |
Static Theory of Smectic C / 6.1: |
The Elastic Energy for Smectic C / 6.2.1: |
The Magnetic and Electric Energies / 6.2.2: |
Focal Conic Defects: Dupin and Parabolic Cyclides / 6.2.3: |
A Freedericksz Transition in Bookshelf Smectic C / 6.2.5: |
Smectic Layer Compression / 6.2.6: |
Dynamic Theory of Smectic C / 6.3: |
Dynamic Equations for SmC Liquid Crystals / 6.3.1: |
The Smectic C Viscosities / 6.3.2: |
Simple Flow Alignment in Smectic C / 6.3.3: |
Theory of Smectic C* Liquid Crystals / 6.4: |
Energies for Smectic C* / 6.4.1: |
Static and Dynamic Theory for Smectic C* / 6.4.2: |
Director Reorientation in Smectic C* / 6.4.3: |
Comments on Theories of Smectics / 6.5: |
Results Employing Variational Methods / A: |
Identities / B: |
Physical Components in Cylindrical Polar Coordinates / C: |
Tables / D: |
Bibliography |
Index |
Preface |
Acknowledgements |
Introduction / 1: |
The Discovery of Liquid Crystals / 1.1: |
Basic Descriptions of Liquid Crystals / 1.2: |
The Development of the Continuum Theory of Liquid Crystals / 1.3: |