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Liquid Crystals Book from C.H.I.P.S.

Nematic and Cholesteric Liquid Crystals
by Patrick Oswald

Nematic and Cholesteric Liquid Crystals provides a useful reference intended for advanced undergraduate and graduate students and researchers in liquid crystals, condensed matter physics, and materials science.

Features:

  • Provides an up-to-date text on nematic and cholesteric liquid crystals
  • Includes an extensive analysis of original topics such as cholesteric Blue Phases, anchoring transitions, and front instabilities
  • Illustrates material throughout with simple experiments, some of which were performed in the classroom
  • Serves as a useful reference/ supplementary text intended for graduate students and researchers in liquid crystals, condensed matter physics, and materials science
  • Offers unique coverage of optical properties, thermal, hydrodynamic and electrohydrodynamic instabilities, defects, surface phenomena (anchoring, faceting) and free and directional growth (Mullins-Sekerka instability

Contents

Modern Classification of Liquid Crystals

  • The Terminology Introduced by Georges Friedel
  • Modern Definition of Mesophases; Broken Symmetries; Short- and Long-Distance Order
  • Classification of Smectic Phases
  • Classification of Columnar Phases
  • Chiral Smectic Phases

Mesogenic anatomy

  • Thermotropic Liquid Crystals
  • Lyotropic Liquid Crystals
  • Liquid Crystal Diblock Copolymers
  • Colloidal Liquid Crystals

Structure and Dielectric Properties of the Nematic Phase

  • Quadrupolar Order Parameter
  • The Uniaxial Nematic-Isotropic Liquid Phase Transition
  • The Uniaxial Nematic-Biaxial Nematic Phase Transition
  • Low-Frequency Dielectric Properties
  • Optical Properties

Nematoelasticity: Frederiks Transition and Light Scattering

  • Grupp Experiment
  • Frank-Oseen Free Energy
  • Free Energy Minimization: Molecular Field and Elastic Torques
  • Interpretation of the Grupp Experiment
  • Magnetic Field Action
  • Action of an Electric Field: Displays
  • Elastic Light Scattering and the Determination of the Frank Constants
  • Nonlinear Optics
  • Calculating the Scattering Cross-Section
  • Free Energy Expression in the Fourier Space

Nematodynamics and Flow Instabilities

  • Preliminary Observations Illustrating Some Fundamental Differences Between a Nematic and an Ordinary Liquid
  • Equations of the Linear Nematodynamics
  • Laminary Couette and Poiseuille Flows
  • Laminary Flows and Their Stability
  • Convective Instabilities of Electrohydrodynamic Origin
  • Thermal Instabilities
  • "Derivation Under the Integral" Theorem
  • Rotational Identity
  • Calculation of the Irreversible Entropy Production
  • Energy Dissipation and Constitutive Laws in the Formalism of Leslie-Ericksen-Parodi
  • The Rayleigh-Bénard Instability in Isotropic Fluids

Defects and Textures in Nematics

  • Polarizing Microscope Observations
  • The Volterra-de Gennes-Friedel process
  • Energy of a Wedge Planar Line in Isotropic Elasticity
  • Continuous Core Model: Landau-Ginzburg-de Gennes Free Energy
  • Interaction Energy Between Two Parallel Wedge Lines
  • Dynamics of a Planar Wedge Line: Calculating the Friction Force
  • Wedge line Stability: Escape in the Third Dimension
  • Bloch and Ising Walls Induced by the Frederiks Instability

Anchoring and Anchoring Transitions of Nematics on Solid Surfaces

  • Precursors
  • On the Notion of Interface
  • Interface Symmetry and Classification of the Different Types of Anchoring
  • Wetting and Anchoring Selection
  • Anchoring Transitions
  • Measuring the Anchoring Energy in the Homeotropic Case

The nematic-isotropic liquid interface:static properties and directional growth instabilities

  • Anchoring Angle, Surface Tension, and Width of the Nematic-Isotropic Interface
  • Landau-Ginzburg-de Gennes Theory
  • Instabilities in Confined Geometry
  • Elastic Correction to the Gibbs-Thomson Relation
  • Directional Growth of the Nematic-Isotropic Liquid Front

Cholesterics: the First Example of a Frustrated Mesophase

  • Cholesteric Frustration
  • Cholesteric Order Parameter and the Cholesteric-Isotropic Liquid Phase Transition
  • Optical Properties of the Cholesteric Phase
  • Defects and Textures of the Cholesteric Phase
  • Unwinding Transition
  • Cholesteric Hydrodynamics

Blue Phases: a Second Example of a Frustrated Mesophase

  • Experimental Evidence for the Cubic Symmetry of Blue Phases I and II
  • Uniaxial Models for the Blue Phases: Disclination Lattices
  • Biaxial Model of the Blue Phases by Grebel, Hornreich, and Shtrikman
  • Landau Theory of the Blue Phases by Grebel, Hornreich, and Shtrikman
  • Experiments
  • BPIII or Blue Fog

Overview of Growth Phenomena and _the Mullins-Sekerka Instability

  • Gibbs-Thomson Relation and the Phase Diagram of a Diluted Binary Mixture
  • The Minimal Model
  • Stationary Plane Front
  • Plane Front in the Diffusive Regime

Index

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Nematic and Cholesteric Liquid Crystals
by Patrick Oswald
20054 • 648 pages • $138.95 + shipping
Texas residents please add 6.75 % sales tax

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