Download or read book On the Theory and Simulation of Confined Liquid Crystals written by Denis Andrienko and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory and Simulation of Defect Dynamics in Confined Liquid Crystals written by Alireza Shams and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Liquid crystals are self-organized viscoelastic materials with long range partial orientational order. Imperfection in this order gives rise to point, line, and wall defects whose dynamics and geometry reflects their anisotropic elasticity and viscosity. For line defects confinement acts as an external field that affects defect dynamics and geometric line curvature. The present thesis uses the renormalization of line defect dynamics and geometry due to confinement to extract viscoelastic properties, thus avoiding complex rheological measurement. The chosen geometries are cylindrical and conical capillaries, where the latter displays confinement gradients common in biological liquid crystal self-assembly. The work starts with the classical theory of liquid crystal elasticity which in 1dimension is shown for the first time to map into the Euler elastica model for elastic strings with tension and bending stiffness. The tension and bending coefficients in the liquid crystal elastic are derived in terms of elastic moduli of the bulk phase.Using thermal quenches, textural transformations involving disclination lines are found and described using geometric-elastica models. The different stages in the transformations have unique features such as branching, loop collisions, loop growth, that are compared for cylindrical capillaries to actual experiments from our team experimental collaborators. The extracted viscoelastic data are shown to be in good agreement with available viscoelastic data. The theory and modelling was extended to conical capillaries and new predictions due to confinement-driven gradients are analyzed. The developed theory and simulations provides an efficient new methodology to use defect physics for quantitative predict viscoelastic properties in anisotropic soft matter." --
Download or read book Computer Simulation of Confined Liquid Crystal Dynamics written by R. E. Webster and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Liquid Crystals and Their Computer Simulations written by Claudio Zannoni and published by Cambridge University Press. This book was released on 2022-07-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Standing as the first unified textbook on the subject, Liquid Crystals and Their Computer Simulations provides a comprehensive and up-to-date treatment of liquid crystals and of their Monte Carlo and molecular dynamics computer simulations. Liquid crystals have a complex physical nature, and, therefore, computer simulations are a key element of research in this field. This modern text develops a uniform formalism for addressing various spectroscopic techniques and other experimental methods for studying phase transitions of liquid crystals, and emphasises the links between their molecular organisation and observable static and dynamic properties. Aided by the inclusion of a set of Appendices containing detailed mathematical background and derivations, this book is accessible to a broad and multidisciplinary audience. Primarily intended for graduate students and academic researchers, it is also an invaluable reference for industrial researchers working on the development of liquid crystal display technology.
Download or read book Handbook of Liquid Crystals Volume II written by Shri Singh and published by Springer. This book was released on 2024-03-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expert and self-contained authored handbook provides comprehensive coverage of liquid crystals from the fundamental materials science, physics, and modeling through cutting-edge applications. Written by an author with over 40 years of active experience in this growing field, it offers an unprecedented self-contained treatment of this key research area. Liquid Crystals are a state of matter sharing properties that are usually associated with both solids and liquids. Their study belongs to wider field of soft condensed matter physics, an area growing in importance because of the new physics being discovered and the possibilities of various technological applications being developed. Liquid crystals continue to have a revolutionary technological impact and consistently pose new challenges of basic understanding. While the experimental side of liquid crystal research is very well developed, theoretical understanding has lagged, and this volume fills a gap in the published literature in terms of rigorous treatment of mathematical and computer modeling approaches. Volume II of this handbook deals with advanced aspects of liquid crystals and their applications, covering computer simulations of phase transitions in liquid crystals, liquid crystals of biomolecules, and defect textures in liquid crystals. Overall, this handbook serves as the ultimate scholarly guide for researchers, scientists, and engineers seeking to unlock the full potential of liquid crystals. It offers a comprehensive understanding of these materials and their diverse applications, empowering readers to navigate the complex intricacies of liquid crystal science and technology.
Download or read book Advances in the Computer Simulatons of Liquid Crystals written by Paolo Pasini and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer simulations provide an essential set of tools for understanding the macroscopic properties of liquid crystals and of their phase transitions in terms of molecular models. While simulations of liquid crystals are based on the same general Monte Carlo and molecular dynamics techniques as are used for other fluids, they present a number of specific problems and peculiarities connected to the intrinsic properties of these mesophases. The field of computer simulations of anisotropic fluids is interdisciplinary and is evolving very rapidly. The present volume covers a variety of techniques and model systems, from lattices to hard particle and Gay-Berne to atomistic, for thermotropics, lyotropics, and some biologically interesting liquid crystals. Contributions are written by an excellent panel of international lecturers and provides a timely account of the techniques and problems in the field.
Download or read book Computer Simulation of Confined Liquid Crystal Dynamics written by R. E. Webster and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory and Simulation of Liquid Crystalline Phases written by Matthew Dennison and published by . This book was released on 2009 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Defects in Liquid Crystals Computer Simulations Theory and Experiments written by Oleg D. Lavrentovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological defects are the subject of intensive studies in many different branches of physics ranging from cosmology to liquid crystals and from elementary particles to colloids and biological systems. Liquid crystals are fascinating materials which present a great variety of these mathematical objects and can therefore be considered as an extremely useful laboratory for topological defects. This book is the first attempt to present together complementary approaches to the investigations of topological defects in liquid crystals using theory, experiments and computer simulations.
Download or read book Numerical Modeling of Confined Liquid Crystal Systems written by Sami Mkaddem and published by . This book was released on 1998 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Dynamics of NCB Liquid Crystals in Confined Space written by Wojciech Gwizdała and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Simulations of Nematic Liquid Crystals written by Nikolai V. Priezjev and published by . This book was released on 2002 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Self assembly of Confined Liquid Crystals written by Kathrin Sentker and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Liquid crystals in combination with nanoporous media, exhibiting structures significantly smaller than the wavelengths of visible light, are promising candidates to design new soft-hard photonic metamaterials. The liquid crystal provides functionality, resulting from temperature tunable anisotropic properties, i.\,e. optical birefringence, while the nanoporous solid provides a mechanical robust scaffold structure. Then the optical functionality of prospective metamaterials is not determined by the properties of base materials, but from newly designed multiscale structures often absent in the base materials. However, the extreme spatial and topological constraints can result in inhomogeneous molecular arrangements or even the complete suppression of liquid crystallinity in nanoconfinement hampering the optical functionality. Depending on the type of confining space (meso- and macroporous silica and anodized aluminium oxide) and as a function of temperature, pore size and pore surface chemistry, the molecular self-assembling process and the resulting metamaterial potential of a discotic liquid crystal (HAT6) in nanoconfinement is analyzed. In order to correlate orientational and translational ordering, synchrotron-based 2D X-ray diffraction in combination with high-resolution optical polarimetry measurements are performed. Resulting from a quantized phase transition a rarely measured material specific parameter giving a measure of the tendency of the liquid crystal to bend along the preferred alignment direction is found. Additionally, the experiments and complementary Monte Carlo simulations show a remarkably rich self-assembly behavior resulting in structures absent in the bulk state. These diverse configurations on the nanoscale result in integrated material systems exhibiting a temperature- and liquid-solid interaction-dependent positive and negative optical birefringence. Hence, the self-organized nanoporous solids in combination with liquid-crystalline self-assembly allow the fabrication of newly designed photonic metamaterials with tailorable optical anisotropy.
Download or read book Theory and Simulation of Hard Sphere Fluids and Related Systems written by Angel Mulero and published by Springer. This book was released on 2008-07-10 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquids and fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few. The present volume introduces and reviews some important basics and progress in the study of such systems. Their structure, thermodynamic properties, equations of state, as well as kinetic and transport properties are considered from different and complementary points of view. This book addresses graduate students, lecturers as well as researchers in statistical mechanics, physics of liquids, physical chemistry and chemical engineering.
Download or read book Computational Simulation of Dynamics of Nematic Liquid Crystals in the Presence of Nanoparticles and Biological Macromolecules written by Huangli Wu and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research shows that liquid crystals can be used to report the presence of different types of substances through optical amplication of ligand-receptor binding. In this work, simulations based on a coarse-grained method have been performed to study a class of liquid-crystal-based sensors. A tensor order parameter was used to model the liquid crystalline system and the Beris-Edwards formulation was employed to obtain the time evolution of a liquid crystal medium containing particles. The simulation cases are built using three-dimensional unstructured meshes and the simulation geometries studied include simple models involving spheres as well as detailed modeling for a protein. The dynamics of a liquid crystal medium confined between two solid walls has been studied in the presence of spherical particles and a representative biological acromolecule. Comparisons of steady state and transient solutions from the present study with corresponding results from molecular dynamics based simulations in the literature yield good agreements.
Download or read book Computer Simulations of Liquid Crystals and Polymers written by Paolo Pasini and published by Springer Science & Business Media. This book was released on 2005-08-11 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liquid crystals, polymers and polymer liquid crystals are soft condensed matter systems of major technological and scientific interest. An understanding of the macroscopic properties of these complex systems and of their many and interesting peculiarities at the molecular level can nowadays only be attained using computer simulations and statistical mechanical theories. Both in the Liquid Crystal and Polymer fields a considerable amount of simulation work has been done in the last few years with various classes of models at different special resolutions, ranging from atomistic to molecular and coarse-grained lattice models. Each of the two fields has developed its own set of tools and specialized procedures and the book aims to provide a state of the art review of the computer simulation studies of polymers and liquid crystals. This is of great importance in view of a potential cross-fertilization between these connected areas which is particularly apparent for a number of experimental systems like, e.g. polymer liquid crystals and anisotropic gels where the different fields necessarily merge. An effort has been made to assess the possibilities of a coherent description of the themes that have developed independently, and to compare and extend the theoretical and computational techniques put forward in the different areas.
Download or read book Theory and Applications of Liquid Crystals written by Jerald L. Ericksen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications AMORPHOUS POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a workshop which was an integral part of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are grateful to the Scientific Committee: Haim Brezis Constantine Dafermos Jerry Eri cksen David Kinderlehrer for planning and implementing an exciting and stimulating year-long program. We espe cially thank the Program Organizers, Jerry Ericksen, David Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger Preface The diversity of experimental phenomena and the range of applications of liquid crystals present timely and challenging questions for experimentalists, mechanists, and mathematicians. The scope of this workshop was to bring together research workers and practitioners in these areas from laboratories, industry, and universities to explore common issues. The contents of this volume vary from descriptions of experimental phenomena, of which our understanding is insufficient, to questions of a mathematical nature and of efficient computation.
