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Pattern Formation in Liquid Crystals

In the last 20 years the study of nonlinear nonequilibrium phenomena in spa­ tially extended systems, with particular emphasis on pattern-forming phenomena, has been one of the very active areas in physics, exhibiting interesting ramifi­ cations into other sciences. During this time the study of the...

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Bibliographic Details
Other Authors: Buka, Agnes (Editor), Kramer, Lorenz (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1996, 1996
Edition:1st ed. 1996
Series:Partially Ordered Systems
Subjects:
Physical Chemistry
Continuum Mechanics
Crystallography
Crystallography And Scattering Methods
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 7.2 The Mullins—Sekerka Instability
  • 7.3 Directional Growth Experiments
  • 7.4 Free-Growth Experiments
  • 7.5 Prospects
  • References
  • 8 Viscous Fingering
  • 8.1 Introduction
  • 8.2 Theoretical Background
  • 8.3 Experiments
  • 8.4 Concluding Remarks
  • References
  • 9 Thermal Fluctuations in Pattern Forming Instabilities
  • 9.1 Introduction
  • 9.2 Macroscopic Stochastic Equations for Thermal Noise
  • 9.3 Stochastic Amplitude Equations
  • 9.4 Theoretical Results
  • 9.5 Experimental Results
  • 9.6 Discussion
  • References
  • 4.4 Shear Flow Instabilities with the Director Perpendicular to the Shear Plane
  • 4.5 Flow Instabilities with the Director Initially Parallel to the Shear Plane
  • 4.6 Elliptical Shear Instability in Homeotropic Configuration
  • 4.7 Further Developments
  • Appendix A: Linear stability problem when the director is perpendicular to the shear plane
  • Appendix B: Elliptical Shear Equations
  • References
  • 5 Experiments on Thermally Driven Convection
  • 5.1 Introduction
  • 5.2 Planar Alignment and a Horizontal Magnetic Field
  • 5.3 Homeotropic Alignment and a Vertical Magnetic Field
  • 5.4 Two-Phase Convection
  • Appendix A: Experimental Methods
  • Appendix B: Physical Properties of 5CB
  • References
  • 6 Electrohydrodynamic Instabilities in Nematic Liquid Crystals
  • 6.1 Introduction
  • 6.2 Planar alignment: linear theory
  • 6.3 Planar alignment: nonlinear theory
  • 6.4 Homeotropic alignment
  • 6.5 Concludingremarks
  • References
  • 7 Mesophase Growth
  • 7.1 Introduction
  • 1 Introduction to Pattern Formation in Nonequilibrium Systems
  • 1.1 General Remarks
  • 1.2 A Simple Model
  • 1.3 Pattern Formation in Liquid Crystals
  • References
  • 2 Hydrodynamics and Electrohydrodynamics of Liquid Crystals
  • 2.1 Introduction
  • 2.2 Symmetries and Broken Symmetries
  • 2.3 Statics
  • 2.4 Dynamics
  • 2.5 Electrohydrodynamics
  • 2.6 Additions to Nematodynamics
  • 2.7 Director-Type Degrees of Freedom
  • References
  • 3 General Mathematical Description of Pattern-Forming Instabilities
  • 3.1 Introductory Remarks
  • 3.2 Linear Analysis
  • 3.3 The Landau Equation
  • 3.4 The Ginzburg—Landau Equations
  • 3.5 Extended Weakly Nonlinear Analysis
  • 3.6 From Order Parameter to Amplitude Equations
  • 3.7 Concluding Remarks
  • References
  • 4 Flow Instabilities in Nematics
  • 4.1 Introduction
  • 4.2 Continuous Description of Nematics and Viscometry
  • 4.3 Stability Analysis and Basic Mechanisms

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