This book reviews the current state of the theory of pattern formation by a liquid-solid interface during crystal growth. It gives a pedagogical introduction to the subject, including experimental results, mathematical modeling and linear stability analysis. After highlighting the success of the
Pattern Formation in Liquid Crystals
β Scribed by Lorenz Kramer, Agnes Buka (auth.), Agnes Buka, Lorenz Kramer (eds.)
- Publisher
- Springer-Verlag New York
- Year
- 1996
- Tongue
- English
- Leaves
- 343
- Series
- Partially Ordered Systems
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
In the last 20 years the study of nonlinear nonequilibrium phenomena in spaΒ tially extended systems, with particular emphasis on pattern-forming phenomena, has been one of the very active areas in physics, exhibiting interesting ramifiΒ cations into other sciences. During this time the study of the "classic" systems, like Rayleigh-Benard convection and Taylor vortex flow in simple fluids, has also been supplemented by the study of more complex systems. Here liquid crystals have played, and are still playing, a major role. One might say that liquid crystals provide just the right amount and right kind of complexity. They are full of nonΒ linearities and give rise to new symmetry classes, which are sometimes actually simpler to deal with qualitatively, but they still allow a quantitative description of experiments in many cases. In fact one of the attractions of the field is the close contact between experimentalists and theorists. Hydrodynamic instabilities in liquid crystals had already experienced a period of intense study in the late 1960s and early 1970s, but at that time neither the exΒ perimental and theoretical tools nor the concepts had been developed sufficiently far to address the questions that have since been found to be of particular interest. The renewed interest is also evidenced by the fact that a new series of workshops has evolved. The first one took place in 1989 in Bayreuth and united participants from almost all groups working in pattern formation in liquid crystals.
β¦ Table of Contents
Front Matter....Pages i-xi
Introduction to Pattern Formation in Nonequilibrium Systems....Pages 1-13
Hydrodynamics and Electrohydrodynamics of Liquid Crystals....Pages 15-67
General Mathematical Description of Pattern-Forming Instabilities....Pages 69-90
Flow Instabilities in Nematics....Pages 91-163
Experiments on Thermally Driven Convection....Pages 165-220
Electrohydrodynamic Instabilities in Nematic Liquid Crystals....Pages 221-255
Mesophase Growth....Pages 257-289
Viscous Fingering....Pages 291-305
Thermal Fluctuations in Pattern Forming Instabilities....Pages 307-331
Back Matter....Pages 333-339
β¦ Subjects
Fluid- and Aerodynamics;Crystallography;Physical Chemistry
π SIMILAR VOLUMES
Reviews the current state of the theory of pattern formation by a liquid-solid interface during crystal growth. This work gives a pedagogical introduction to the subject, including experimental results, mathematical modelling and linear stability analysis
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