Evry SCHATZMAN Radio-Astronomie, E. N. S. , Paris, France The recent developments of the Supernova theory and numerical relativity can lead in the near future to an understanding of gravitational collapse and to a reliable prediction of the amplitude of the gravitational waves generated during neutron star formation. These prospects explain the great interest which has developed in the international scientific community for the workshop. We were financially limited in the number of guests and participants and we apologize for not having been able to gather all the specialists actually involved in research programs relevant to gravitational collapse and numerical relativity. This limitation took place despite all the financial assistance which we have received from various institutions, first the C. N. R. S. (Centre National de 1a Recherche Scientifique) which has supported the request of Dr. Monique SIGNORE of organizing a workshop. Furhter help was obtained from I. N. A. G. (Institut National d'Astronomie et de Geophysique), Toulouse University (Universite "Paul Sabatier" or "Toulouse III"), the Toulouse section of C. N. E. S. (Centre National d'Etudes Spatia1es), the Department of theoretical physics of the C. E. A. , the Department of Astrophysique of the C. E. A. (Centre d'Etudes Nucleaires, Saclay), D. R. E. T. (Direction des Recherches Etudes et Techniques) and last but not least an important grant from NATO, whose scientific Committee recognized the international significance of the workshop. The meeting was organized by Professor D.

This book offers a didactic introduction to light-matter interactions at both the classical and semi-classical levels. Pursuing an approach that describes the essential physics behind the functionality of any optical element, it acquaints students with the broad areas of optics and photonics. Its rigorous, bottom-up approach to the subject, using model systems ranging from individual atoms and simple molecules to crystalline and amorphous solids, gradually builds up the reader's familiarity and confidence with the subject matter. Throughout the book, the detailed mathematical treatment and examples of practical applications are accompanied by problems with worked-out solutions. In short, the book provides the most essential information for any graduate or advanced undergraduate student wishing to begin their course of study in the field of photonics, or to brush up on important concepts prior to an examination.

First and pioneering in the field Presents an authoritative description of a young field of research, with a long life ahead Clearly shows the role of multidisciplinary and team work, particularly addressed by combining theoretical/experimental expertise

This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

This handbook presents the key properties of silicon carbide (SiC), the power semiconductor for the 21st century. It describes related technologies, reports the rapid developments and achievements in recent years, and discusses the remaining challenging issues in the field. The book consists of 15 chapters, beginning with a chapter by Professor W. J. Choyke, the leading authority in the field, and is divided into four sections. The topics include presolar SiC history, vapor-liquid-solid growth, spectroscopic investigations of 3C-SiC/Si, developments and challenges in the 21st century; CVD principles and techniques, homoepitaxy of 4H-SiC, cubic SiC grown on 4H-SiC, SiC thermal oxidation processes and MOS interface, raman scattering, NIR luminescent studies, Mueller matrix ellipsometry, raman microscopy and imaging, 4H-SiC UV photodiodes, radiation detectors, and short wavelength and synchrotron X-ray diffraction. This comprehensive work provides a strong contribution to the engineering, materials, and basic science knowledge of the 21st century, and will be of interest to material growers, designers, engineers, scientists, postgraduate students, and entrepreneurs.

This book explores the diverse types of Schroedinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose-Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schroedinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose-Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schroedinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose-Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.

This text closes the gap between traditional textbooks on structural dynamics and how structural dynamics is practiced in a world driven by commercial software, where performance-based design is increasingly important. The book emphasizes numerical methods, nonlinear response of structures, and the analysis of continuous systems (e.g., wave propagation). Fundamentals of Structural Dynamics: Theory and Computation builds the theory of structural dynamics from simple single-degree-of-freedom systems through complex nonlinear beams and frames in a consistent theoretical context supported by an extensive set of MATLAB codes that not only illustrate and support the principles, but provide powerful tools for exploration. The book is designed for students learning structural dynamics for the first time but also serves as a reference for professionals throughout their careers.

With a history that reaches back some 90 years, the Hume-Rothery rules were developed to provide guiding principles in the search for new alloys. Ultimately, the rules bridged metallurgy, crystallography, and physics in a way that led to the emergence of a physics of the solid state in 1930s, although the physical implications of the rules were never fully resolved. Even today, despite a revived interest brought about by the 1984 discovery of quasicrystals, much about the rules remains an enigma. Now almost a century after the rules were put forward, Hume-Rothery Rules for Structurally Complex Alloy Phases provides researchers with an insightful and applicable interpretation of the Hume-Rothery electron concentration rule. Invoking first-principle band calculations, the book emphasizes the stability of structurally complex metallic alloys (CMAs).Written by Uichiro Mizutani, long considered the most knowledgeable expert on both the history and science of Hume-Rothery, this seminal work - Offers a unified interpretation of phase stabilization mechanism of CMAs in different classes Explains how to determine the effective valency of transition metal elements Details establishment of d-states-mediated-FsBz interactions in strongly orbital-hybridizing systems Covers the contrast between e/a and VEC, two notions of electron concentration parameters and includes a way to differentiate between them in designing new alloys Explores strengths and shortcomings for the theory on alloy phase stability Discusses the latest take on electron concentration for gamma-brass This work summarizes the ongoing history of Hume-Rothery and reflects the theoretical studies that Professor Mizutani embarked upon to gain deeper understanding of the basic physics behind stabilizing effects related to electron concentration. It describes how metallic and coval

Key features: Complete introductory overview of cosmic ray physics Covers the origins, acceleration, transport mechanisms and detection of these particles Mathematical and technical detail is kept separate from the main text

Presents comprehensive information on nanocarbon synthesis and properties and some specific applications Covers growth of carbon nanoparticles, nanotubes, ribbons, graphene, graphene derivatives, porous /spongy phases, graphite, and 3D carbon fabrics Documents large variety of characterizations and evaluation on nature of growth causing effect onto structure-properties Contains dedicated chapters on miniaturized, flat, and 2D devices Discusses variety of applications from military to public domain including prevalent topics related to carbon

Organic lasers are broadly tunable coherent sources, potentially compact, convenient and manufactured at low-costs. Appeared in the mid 60's as solid-state alternatives for liquid dye lasers, they recently gained a new dimension after the demonstration of organic semiconductor lasers in the 90's. More recently, new perspectives appeared at the nanoscale, with organic polariton and surface plasmon lasers. After a brief reminder to laser physics, a first chapter exposes what makes organic solid-state organic lasers specific. The laser architectures used in organic lasers are then reviewed, with a state-of-the-art review of the performances of devices with regard to output power, threshold, lifetime, beam quality etc. A survey of the recent trends in the field is given, highlighting the latest developments with a special focus on the challenges remaining for achieving direct electrical pumping of organic semiconductor lasers. A last chapter covers the applications of organic solid-state lasers.

Covers materials, chemistry, and technologies for nanowires. Covers the state-of-the-art progress and challenges in nanowires. Provides fundamentals of the electrochemical behavior of various electrochemical devices and sensors. Offers insights on tuning the properties of nanowires for many emerging applications. Provides new direction and understanding to scientists, researchers, and students.

The aim of this NATO ASI has been to present an up-to-date overview of current areas of interest in amorphous materials, with particular emphasis on electronic properties and device applications. In order to limit the material to a manageable amount, the meeting was concerned almost exclusively with semiconducting materials. This volume should be regarded as a follow-on to the NATO ASI held in Sozopol, Bulgaria in 1996 and published as "Amorphous Insulators and Semiconductors" edited by M.F. Thorpe and M.1. Mitkova (Kluwer Academic Publishers, NATO ASI series, 3 High Technology - Vol. 23). The lectures and seminars fill the gap between graduate courses and research seminars. The lecturers and seminar speakers were chosen as experts in their respective areas, and the lectures and seminars that were given are presented in this volume. During the first week of the meeting, an emphasis was placed on introductory lectures while the second week focused more on research seminars. There were two very good poster sessions that generated a lot of discussion, but these are not reproduced in this volume as the editors wanted to have only larger contributions to make the proceedings more coherent.

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book's main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

The first book completely devoted to the subject, this volume describes the analysis of the composition and structure of glass and glass ceramics. Although conceived as a monograph, the individual chapters are written by leading Schott experts on the corresponding subjects.

The series Advances in Polymer Science presents critical reviews of the present and future trends in polymer and biopolymer science. It covers all areas of research in polymer and biopolymer science including chemistry, physical chemistry, physics, material science. The thematic volumes are addressed to scientists, whether at universities or in industry, who wish to keep abreast of the important advances in the covered topics. Advances in Polymer Science enjoys a longstanding tradition and good reputation in its community. Each volume is dedicated to a current topic and each review critically surveys one aspect of that topic, to place it within the context of the volume. The volumes typically summarize the significant developments of the last 5 to 10 years and discuss them critically, presenting selected examples, explaining and illustrating the important principles and bringing together many important references of primary literature. On that basis, future research directions in the area can be discussed. Advances in Polymer Science volumes thus are important references for every polymer scientist, as well as for other scientists interested in polymer science - as an introduction to a neighboring field, or as a compilation of detailed information for the specialist. Review articles for the individual volumes are invited by the volume editors. Single contributions can be specially commissioned. Readership: Polymer scientists, or scientists in related fields interested in polymer and biopolymer science, at universities or in industry, graduate students.

The first broad and in-depth overview of current research in attosecond nanophysics, covering the field of active plasmonics via attosecond science in metals and dielectrics to novel imaging techniques with the highest spatial and temporal resolution.
The authors are pioneers in the field and present here new developments and potential novel applications for ultra-fast data communication and processing, discussing the investigation of the natural timescale of electron dynamics in nanoscale solid state systems.
Both an introduction for starting graduate students, as well as a look at the current state of the art in this hot and emerging field.

Engineered composites materials display superior properties to pristine materials. Glass fibres have been used for years in the production of light weight composites. This book is a much needed update as to the processing methods and technologies present in the manufacturing of GFRP. Coverage of machining, cutting, tools, and thermal loads are discussed. Ideal for researchers in academia and industry.

This book discusses in depth many of the key problems in non-equilibrium physics. Besides the standard subjects (Boltzmann and Master equations, linear response) it includes several new important subjects as well. The origin of macroscopic irreversible (dissipative) behavior receives an extended attention and is illustrated in the framework of solvable classical models of open systems (Chapter 3). The scaling relationship between the kinetic and hydrodynamical levels is described in Chapter 9. The QED of charged non-relativistic particles and its restriction to the states without photons to order 1/c(2) leading to the current-current magnetic interaction is discussed in some depth in Chapters 14 and 15. Bose-Einstein condensation in real time within the frame of rate equations, as well as soliton-like solutions of the non-linear Gross-Pitaevskii equation are discussed in Chapter 22. The presentation also includes the latest developments - quantum kinetics - related to modern ultrafast spectroscopy (Chapters 23-30).This second edition was improved, restructured, and enriched with new results from the recent papers of the author. Chapter 3 was largely extended and Chapters 14 and 15 are completely new. Chapter 22 has a new Section. Several new useful figures were added throughout the book as well.

Many fundamental issues in classical condensed matter physics can be addressed experimentally using systems of individually visible mesoscopic particles playing the role of "proxy atoms". The interaction between such "atoms" is determined by the properties of the surrounding medium and/or by external tuning. The best-known examples of such experimental model systems are two different domains of soft matter - complex plasmas and colloidal dispersions.The major goal of this book - written by scientists representing both complex plasmas and colloidal dispersions - is to bring the two fields together. In the first part of the book the basic properties of the two systems are summarized, demonstrating huge conceptual and methodological overlap of the fields and emphasizing numerous cross-connections between them and their essential complementarity. This "introductory part" should serve to help each community in understanding the other field better. Simultaneously, this provides the necessary basis for the second part focused on particle-resolved studies of diverse generic phenomena in liquids and solids - all performed with complex plasmas and/or colloidal dispersions. The book is concluded with the discussion of critical open issues and fascinating perspectives of such interdisciplinary research.

Rapid thermal and integrated processing is an emerging single-wafer technology in ULSI semiconductor manufacturing, electrical engineering, applied physics and materials science. Here, the physics and engineering of this technology are discussed at the graduate level. Three interrelated areas are covered. First, the thermophysics of photon-induced annealing of semiconductor and related materials, including fundamental pyrometry and emissivity issues, the modelling of reactor designs and processes, and their relation to temperature uniformity. Second, process integration, treating the advances in basic equipment design, scale-up, integrated cluster-tool equipment, including wafer cleaning and integrated processing. Third, the deposition and processing of thin epitaxial, dielectric and metal films, covering selective deposition and epitaxy, integrated processing of layer stacks, and new areas of potential application, such as the processing of III-V semiconductor structures and thin- film head processing for high-density magnetic data storage.

This book offers a comprehensive treatment of the molecular design, characterization, and physical chemistry of soft interfaces. At the same time, the book aims to encourage the fabrication of functional materials including biomaterials. During the past few decades there has been steady growth in soft-interface science, and that growth has been especially rapid in the twenty-first century. The field is interdisciplinary because it involves chemistry, polymer science, materials science, physical chemistry, and biology. Based on the increasing interdisciplinary nature of undergraduate and graduate programs, the primary goal of this present work is to serve as a comprehensive resource for senior-level undergraduates and for graduate students, particularly in polymer chemistry, materials science, bioconjugate chemistry, bioengineering, and biomaterials. Additionally, with the growing interest in the fabrication of functional soft materials, this book provides essential fundamental information for researchers not only in academia but also in industry.

This volume (>Ie) NEMATICS Mathematical and Physical aspects constitutes the proceedings of a workshop which was held at l'Universite de Paris Sud (Orsay) in May 1990. This meeting was an Advanced Research Workshop sponsored by NATO. We gratefully acknowledge the help and support of the NATO Science Committee. Additional support has been provided by the Ministere des affaires etrangeres (Paris) and by the Direction des Recherches et Etudes Techniques (Paris). Also logistic support has been provided by the Association des Numericiens d'Orsay. (*) These proceedings are published in the framework of the "Contrat DRET W 90/316/ AOOO." v Contents (*) FOREWORD v INTRODUCTION 1. M. CORON, 1. M. GHIDAGLIA, F. HELEIN xi AN ENERGY-DECREASING ALGORITHM FOR HARMONIC MAPS F. ALOUGES 1 A COHOMOLOGICAL CRITERION FOR DENSITY OF SMOOTH MAPS IN SOBOLEV SPACES BETWEEN TWO MANIFOLDS F. BETHUEL, 1. M. CORON, F. DEMENGEL, F. HELEIN 15 ON THE MATHEMATICAL MODELING OF TEXTURES IN POLYMERIC LIQUID CRYSTALS M. C. CAmERER 25 A RESULT ON THE GLOBAL EXISTENCE FOR HEAT FLOWS OF HARMONIC MAPS FROM D2 INTO S2 K. C. CHANG, W. Y. DING 37 BLOW-UP ANALYSIS FOR HEAT FLOW OF HARMONIC MAPS Y. CHEN 49 T AYLOR-COUETTE INSTABILITY IN NEMATIC LIQUID CRYSTALS P. E. ClADIS 65 ON A CLASS OF SOLUTIONS IN THE THEORY OF NEMATIC PHASES B. D. COLEMAN, 1. T. JENKINS 93 RHEOLOGY OF THERMOTROPIC NEMATIC LIQUID CRYSTALLINE POLYMERS M. M. DENN, 1. A.

This book presents a sequential representation of the electrodynamics of conducting media with dispersion. In addition to the general electrodynamic formalism, specific media such as classical nondegenerate plasma, degenerate metal plasma, magnetoactive anisotropic plasma, atomic hydrogen gas, semiconductors, and molecular crystals are considered. The book draws on such classics as Electrodynamics of plasma and plasma-like media (Silin and Rukhadze) and Principles of Plasma Electrodynamics (Alexandrov, Bogdankevich, and Rukhadze), yet its outlook is thoroughly modern-both in content and presentation, including both classical and quantum approaches. It explores such recent topics as surface waves on thin layers of plasma and non-dispersive media, the permittivity of a monatomic gas with spatial dispersion, and current-driven instabilities in plasma, among many others. Each chapter is equipped with a large number of problems with solutions that have academic and practical importance. This book will appeal to graduate students as well as researchers and other professionals due to its straight-forward yet thorough treatment of electrodynamics in conducting dispersive media.