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Solitons in Liquid Crystals

Solitons are a well-known and intriguing aspect of nonlinear behavior in a continuous system such as a fluid: a wave propagates through the medium without distortion. Liquid crystals are highly ordered systems without a rigid, long-range structure. Solitons in liquid crystals (sometimes referred to...

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Bibliographic Details
Other Authors: Lam, Lui (Editor), Prost, Jacques (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1992, 1992
Edition:1st ed. 1992
Series:Partially Ordered Systems
Subjects:
Atoms
Atomic, Molecular And Chemical Physics
Mathematical Physics
Crystallography
Theoretical, Mathematical And Computational Physics
Crystallography And Scattering Methods
Molecules
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 1.1 Liquid Crystal Phases
  • 1.2 Solitons in Liquid Crystals
  • References
  • 2 Solitons and Field Induced Solitons in Liquid Crystals
  • 2.1 Introduction
  • 2.2 Solitons
  • 2.3 Soliton Equations
  • 2.4 Constructing Soliton Equations
  • 2.5 Methods of Solving Soliton Equations
  • 2.6 Formation of Solitons
  • 2.7 Magnetic Field Induced Solitons in Nematics
  • 2.8 Electric Field Induced Solitons in Liquid Crystals
  • 2.9 Conclusions
  • References
  • 3 Solitons in Shearing Liquid Crystals
  • 3.1 Introduction
  • 3.2 Steady Uniform Shear I: One-Dimensional Case
  • 3.3 Steady Uniform Shear II: Boundary Effects
  • 3.4 Unsteady Uniform Shear
  • 3.5 Steady Nonuniform Shear I: Linear Cell
  • 3.6 Steady Nonuniform Shear II: Radial Cell
  • 3.7 Conclusions
  • References
  • 4 Some Nonlinear Problems in Anisotropic Systems
  • 4.1 Introduction
  • 4.2 Nonlinear Aspects of Static Properties of Liquid Crystals
  • 4.3 Nonlinear Macroscopic Dynamics of Liquid Crystals
  • 4.4 Perspectives
  • 4.5 Conclusions
  • References
  • 5 Solitary Waves in Ferroelectric Liquid Crystals
  • 5.1 Introduction
  • 5.2 Equations of Motion in One Dimension
  • 5.3 Wave Fronts in Infinite Systems
  • 5.4 Director Reorientation in Finite Domains with Fixed Boundaries
  • 5.5 Structures with Finite Interface Energies
  • 5.6 Conclusions
  • References
  • 6 Frustrated Smectics
  • 6.1 Introduction
  • 6.2 The Physics of Polar Smectics
  • 6.3 Electric Properties of the Incommensurate Smectics
  • 6.4 Escape from Incommensurability
  • 6.5 Conclusions
  • References
  • 7 Soft Walls and Orientational Singularities in Two-Dimensional Liquid Crystal Films
  • 7.1 Background
  • 7.2 Experimental Techniques
  • 7.3 Soft Tilt Director Walls in Ferroelectric Smectic C* Films
  • 7.4 Characteristic Orientational Singularities in Tilted Hexatic Films
  • 7.5 Concluding Remarks
  • References
  • 8 Charged Twist Walls in Nematic Liquid Crystals
  • 8.1 Introduction
  • 8.2 Experiment
  • 8.3 Model
  • 8.4 Conclusions
  • References
  • 9 Localized Instabilities in the Convection of Nematic Liquid Crystals
  • 9.1 Introduction
  • 9.2 Localized Instabilities in the Evolution to the Chaotic State
  • 9.3 Theoretical Model: The Amplitude Equation
  • 9.4 Convective Instabilities in Nematics Under A.C. Electric Fields
  • 9.5 Sequence of Homogeneous Stationary States
  • 9.6 Topology of Dislocations
  • 9.7 Experimental Techniques
  • 9.8 Nucleation of Dislocations in the Convective Rolls
  • 9.9 Phase Propagation and Localization of a Convective Structure
  • 9.10 Propagation of Solitary Rolls
  • References
  • 10 Solitons and Commensurate-Incommensurate Phase Transitions in Ferroelectric Smectics
  • 10.1 Introduction
  • 10.3 The Chiral Smectic C—Smectic CPhase Transition
  • 10.4 Incommensurate and Rippled Phases Without Lifshitz Invariant
  • 10.5 Summary
  • References
  • Author Index

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