Download or read book The Static and Dynamic Continuum Theory of Liquid Crystals written by Iain W. Stewart and published by CRC Press. This book was released on 2019-01-10 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices. The need has arisen for a rigorous yet accessible text suitable for graduate students, whatever their scientific background. This book satisfies that need. The approach taken in this text, is to introduce the basic continuum theory for nematic liquid crystals in equilibria, then it proceeds to simple application of this theory- in particular, there is a discussion of electrical and magnetic field effects which give rise to Freedericksz transitions, which are important in devices. This is followed by an account of dynamic theory and elementary viscometry of nemantics Discussions of backflow and flow-induced instabilities are also included. Smetic theory is also briefly introduced and summarised with some examples of equilibrium solutions as well as those with dynamic effects. A number of mathematical techniques, such as Cartesian tensors and some variational calculus, are presented in the appendices.
Download or read book The Dynamic Continuum Theory of Liquid Crystals written by Brian J. Edwards and published by . This book was released on 1991 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Course On The Continuum Theory For Nematic Liquid Crystals written by Giovanni Barbero and published by World Scientific Publishing Company. This book was released on 2000-10-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to enable physicists and engineers to learn, within a single course, some topics in variational calculus, theory of elasticity, molecular models, and surface properties of nematic materials. It prepares graduate students for studies that require a simple knowledge in the physics of nematic liquid crystals.With this consideration in mind, the authors have formulated the problems concerning the continuum theory of liquid crystals into a precise form. In working out the solutions, they have analyzed, systematically and naturally, the techniques and methods of variational calculus. Special attention is dedicated to the analysis of well-posed and ill-posed variational problems. The presence of sub-surface discontinuity in the nematic orientation is analyzed using different techniques. A full chapter is devoted to this aspect of the theory of elasticity of nematic media.
Download or read book Dissipative Ordered Fluids written by André M. Sonnet and published by Springer Science & Business Media. This book was released on 2012-01-24 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral and nonchiral variants. The authors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased. Within this unified setting, they cover both well-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from the original 1960s works by Ericksen and Leslie to new, fast-developing ideas of liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves in nematic liquid crystals are interpreted and explained in the light of a new theory developed within the general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students and professional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid crystal hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrates how these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the University of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in the Department of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theories of defects and biaxial nematics.
Download or read book Dissipative Ordered Fluids written by André M. Sonnet and published by Springer Science & Business Media. This book was released on 2012-01-21 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral and nonchiral variants. The authors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased. Within this unified setting, they cover both well-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from the original 1960s works by Ericksen and Leslie to new, fast-developing ideas of liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves in nematic liquid crystals are interpreted and explained in the light of a new theory developed within the general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students and professional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid crystal hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrates how these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the University of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in the Department of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theories of defects and biaxial nematics.
Download or read book Thermotropic Liquid Crystals Fundamentals written by Ger Vertogen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a unified and critical account of the fundamental aspects of liquid crystals. Preference is given to discussing the assumptions made in developing theories and analyzing experimental data rather than to attempting to compile all the latest results. The book has four parts. Part I is quite descriptive in character and gives a general overview of the various liquid crystalline phases. Part II deals with the macroscopic continuum theory of liquid crystals and gives a systematic development of the theory from a tensorial point of view thus emphasizing the relevant symmetries. Part III concentrates on experiments that provide microscopic information on the orientational behaviour of the molecules. Finally Part IV discusses the theory of the various phases and their attendant phase transitions from both a Landau and a molecular-statistical point of view. Simplifying the various models as far as possible, it critically examines the merits of a molecular-statistical approach.
Download or read book An Elementary Course On The Continuum Theory For Nematic Liquid Crystals written by Giovanni Barbero and published by . This book was released on 2000 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physical Properties of Liquid Crystals written by George W. Gray and published by John Wiley & Sons. This book was released on 2009-08-14 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is a unique compendium of knowledge on all aspects of the physics of liquid crystals. In over 500 pages it provides detailed information on the physical properties of liquid crystals as well as the recent theories and results on phase transitions, defects and textures of different types of liquid crystals. An in-depth understanding of the physical fundamentals is a prerequisite for everyone working in the field of liquid crystal research. With this book the experts as well as graduate students entering the field get all the information they need.
Download or read book Physical Properties of Liquid Crystals written by David A. Dunmur and published by . This book was released on 2001 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Liquid Crystal Displays written by Robert H. Chen and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unprecedented look into the basic physics, chemistry, and technology behind the LCD Most notably used for computer screens, televisions, and mobile phones, LCDs (liquid crystal displays) are a pervasive and increasingly indispensable part of our lives. Providing both an historical and a business-minded context, this extensive resource describes the unique scientific and engineering techniques used to create these beautiful, clever, and eminently useful devices. In this book, the history of the science and technology behind the LCD is described in a prelude to the development of the device, presenting a rational development theme and pinpointing innovations. The book begins with Maxwell's theory of electromagnetism, and the ultimately profound realization that light is an electromagnetic wave and an electromagnetic wave is light. The power of mathematical physics thus was brought to bear upon the study of light, and particularly the polarization of light by material bodies, including liquid crystals. After a brief historical description of polarization, a physical interpretation provides substance to the mathematical concepts. Subsequent chapters cover: Thermodynamics for liquid crystals The Maier-Saupe mean field, phenomenological, static continuum, and dynamic continuum theories The transistor and integrated circuit Glass, panels, and modules The calculus of variations The active matrix Semiconductor fabrication The global LCD business Additionally, the book illustrates how mathematics, physics, and chemistry are put to practical use in the LCDs we use every day. By describing the science from an historical perspective and in practical terms in the context of a device very familiar to readers, the book presents an engaging and unique view of the technology for everyone from science students to engineers, product designers, and indeed anyone curious about LCDs. Series Editor: Anthony C. Lowe, The Lambent Consultancy, Braishfield, UK The Society for Information Display (SID) is an international society, which has the aim of encouraging the development of all aspects of the field of information display. Complementary to the aims of the society, the Wiley-SID series is intended to explain the latest developments in information display technology at a professional level. The broad scope of the series addresses all facets of information displays from technical aspects through systems and prototypes to standards and ergonomics.
Download or read book Biaxial Nematic Liquid Crystals written by Geoffrey R. Luckhurst and published by John Wiley & Sons. This book was released on 2015-05-04 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the nematic liquid crystal phase, rod-shaped molecules move randomly but remain essentially parallel to one another. Biaxial nematics, which were first predicted in 1970 by Marvin Freiser, have their molecules differentially oriented along two axes. They have the potential to create displays with fast switching times and may have applications in thin-film displays and other liquid crystal technologies. This book is the first to be concerned solely with biaxial nematic liquid crystals, both lyotropic and thermotropic, formed by low molar mass as well as polymeric systems. It opens with a general introduction to the biaxial nematic phase and covers: • Order parameters and distribution functions • Molecular field theory • Theories for hard biaxial particles • Computer simulation of biaxial nematics • Alignment of the phase • Display applications • Characterisation and identification • Lyotropic, thermotropic and colloidal systems together with material design With a consistent, coherent and pedagogical approach, this book brings together theory, simulations and experimental studies; it includes contributions from some of the leading figures in the field. It is relevant to students and researchers as well as to industry professionals working in soft matter, liquid crystals, liquid crystal devices and their applications throughout materials science, chemistry, physics, mathematics and display engineering.
Download or read book Advances in Liquid Crystals written by Glenn H. Brown and published by Academic Press. This book was released on 2013-10-22 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Liquid Crystals, Volume 4 is a collection of papers that deals with liquid crystal sciences, particularly the flow problems in liquid crystals, the effects of high pressure on liquid crystals, lyotropic and thermotropic polymeric liquid crystals, and the light-scattering properties of thermotropic liquid crystals. One paper reviews the continuum theory in flow problems in liquid crystals, presents theoretical predictions, and compares these with associated observations. High-pressure experiments in liquid crystals pave the way for discoveries involving pressure-induced mesomorphism in certain materials, suppression of mesophases, tricritical phase transitions, and re-entrant behavior. Another paper describes the types of macromolecular structures that have a propensity for mesomorphism — linear, conventional types of polymers, such as block copolymers and graft copolymers. Another paper examines the application of light scattering in fluctuations that happens during the liquid crystalline phases. The paper investigates the assumption that light is scattered by inhomogeneities in the dialectric constant of the medium it is passing through. This collection can prove useful for scientists in liquid crystals, and industrial researchers in the field of advanced chemistry and physics.
Download or read book The Physics of Liquid Crystals written by P. G. de Gennes and published by Oxford University Press. This book was released on 1993 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the classic text incorporates the many advances in knowledge about liquid crystals that have taken place since its initial publication in 1974. Entirely new chapters describe the types and properties of liquid crystals in terms of both recently discovered phases and current insight into the nature of local order and isotropic-to-nematic transition. There is an extensive discussion of the symmetrical, macroscopic, dynamic, and defective properties of smectics and columnar phases, with emphasis on order-of-magnitude considerations, all illustrated with numerous descriptions of experimental arrangements. The final chapter is devoted to phase transitions in smectics, including the celebrated analogy between smectic A and superconductors. This new version's topicality and breadth of coverage will ensure that it remains an indispensable guide for researchers and graduate students in mechanics and engineering, and in chemical, solid state, and statistical physics.
Download or read book Liquid Crystal Elastomers written by Mark Warner and published by Oxford University Press. This book was released on 2007-04-05 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a primer for liquid crystals, polymers, rubber and elasticity. It is directed at physicists, chemists, material scientists, engineers and applied mathematicians at the graduate student level and beyond.
Download or read book Liquid Crystals written by S. Chandrasekhar and published by Cambridge University Press. This book was released on 1992-11-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new and greatly revised edition of Professor Chandrasekhar's classic book Liquid Crystals, first published in 1977. The subject of liquid crystals has grown into an exciting interdisciplinary research field with important practical applications. This book presents a systematic and self-contained treatment of the physics of the different types of thermotropic liquid crystals - the three classical types, nematic, cholesteric and smectic, and the newly discovered discotic type. Included is a description of the structures of these four main types and their polymorphic modifications, their thermodynamical, optical and mechanical properties and their behaviour under external fields. The basic principles underlying the major applications of liquid crystals in display technology and in thermography are also discussed. This book will be of great value to advanced students and researchers in condensed matter physics, chemical physics, materials science and technology with an interest in the physics, chemistry and applications of liquid crystals.
Download or read book Variational Theories for Liquid Crystals written by E.G. Virga and published by CRC Press. This book was released on 2018-12-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essentially there are two variational theories of liquid crystals explained in this book. The theory put forward by Zocher, Oseen and Frank is classical, while that proposed by Ericksen is newer in its mathematical formulation although it has been postulated in the physical literature for the past two decades. The newer theory provides a better explanation of defects in liquid crystals, especially of those concentrated on lines and surfaces, which escape the scope of the classical theory. The book opens the way to the wealth of applications that will follow.
Download or read book Applications of Liquid Crystals written by G. Meier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past ten years liquid crystals have attracted much interest and considerable progress has been made with respect to our knowledge in this field. The recent development was initiated mainly by the work of J. L. Fergason and G. H. Heilmeier, who pointed out the importance of liquid crystals for thermographic and electro optic applications. The first part of this book is a brief introduction to the physics of liquid crystals. The structures and properties of the three basic types of liquid crystals are discussed. A special paragraph is devoted to electric-field effects, which are important in display applications. The chapter on Scientific Applications gives an insight into the potential applications of liquid crystals in fundamental research, with special emphasis on explaining the principles involved. Two groups of potential applications are discussed in detail: 1. the use of liquid crystals as anisotropic solvent for the determination of molecular properties by means of spectroscopy, and 2. their use in analytical chemistry, particularly in gas chromatography. The reverse process involves the use of the dissolved molecules as microscopic probes in the investigation of the dynamical molecular structure of anisotropic fluid systems (e.g. biological membranes). This extremely important technique is also described.
