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 "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 non 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 ex 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. 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 chapters, each by a noted researcher in the field, briefly summarize the fundamental work done in the 1960s but concentrate on reviewing results from the recent resurgence of interest in the field as well as indicating the direction of current work. 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 useful in studying the spontaneous formation and evolution of ordered and disordered patterns. The chapters, each by a noted researcher, briefly summarize the fundamental work done in the 1960s, but concentrate on reviewing results from the recent resurgence of interest in the field as well as indication the direction of current work. 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
