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Pattern Formation in Liquid Crystals

Author: Agnes Buka; Lorenz Kramer
Publisher: New York, NY : Springer New York, 1996.
Series: Partially ordered systems.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This volume bridges two topics of considerable current interest: pattern formation in nonequilibrium phenomena and physics of liquid crystals, both active and diverse areas of research. Because liquid crystals form large-scale and regular patterns under the influence of a variety of applied fields they are fruitful materials to study the spontaneous formation and evolution of ordered and disordered patterns. The  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Agnes Buka; Lorenz Kramer
ISBN: 9781461239949 146123994X 0387946047 9780387946047
OCLC Number: 852790610
Description: 1 online resource (xi, 339 pages 87 illustrations).
Contents: 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 --
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 Concluding remarks --
References --
7 Mesophase Growth --
7.1 Introduction --
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.
Series Title: Partially ordered systems.
Responsibility: edited by Agnes Buka, Lorenz Kramer.

Abstract:

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  Read more...

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