Electroinduced Drift of Neutral Charge Clusters in Salt Solutions presents studies of the processes accompanying the effect of periodic electric and magnetic fields on salt solutions in polar dielectric liquids. The authors explain phenomena from a physical point of view, without theoretical constructions and mathematical calculations. This is done in order to make the book accessible to a wide audience and to help the reader navigate in a multilateral topic that is touched upon when studying processes that occur in liquid media under the external influence of an electromagnetic nature. Additional Features: Explores the phenomenon of selective drift of solvated ions in polar dielectric liquids Applies general principles of electricity and magnetism to describe experimental results Demonstrates how small perturbations of the equilibrium distribution determine not the corrections to the effects but the effects themselves Approaches nonequilibrium molecular physics as a science of physical and chemical processes This book will be useful to specialists, engineers and graduate students, especially those recording and transmitting information in liquid media.

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 introduces the fascinating world of self-assembly in mesoporous ordered silica films. Beginning from a single droplet, it guides the reader, in a step-by-step learning process, how to obtain and control ordered porous mesophases in thin films by varying only the precursor chemistry and the process. It explains, in great detail, how order control is achieved through chemical design and post-deposition processing, the latter of which is a unique property in materials science. The book places a special focus on silica, whose particularly complex chemistry enables order control over a range of different length scales. This book is suitable for students and researchers in the fields of sol-gel or colloidal chemistry and interested in the topics of self-assembly and mesoporous phases.

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.

This book is dedicated to the fundamental physical aspects of stability, the influence of structural defects on the properties and structural phase transformations of BCC alloys. The authors present patterns that occur in the structural-phase states of functional alloys with low stability or instability under thermal cycling effects. Structural-phase transformations and the physical laws governing the influence of the thermomechanical effect on the properties of alloys are examined to advance development of technological processes for processing functional materials. Features: Studies the correlation between structural phase states and changes in the physico-mechanical properties of intermetallic compounds Explores the influence of thermomechanical cycling on the properties of functional alloys Details low-stability pretransition states in alloys

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 investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz-Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.

Semisolid metallurgy (SSM) is now some 37-years-old in terms of time from its conception and ?rst reduction to practice in the laboratory. In the intervening years, there has been a steadily growing body of research on the subject and the beginning of signi?cant industrial applications. The overall ?eld of SSM comprises today a large number of speci?c process routes, almost all of which fall in the category of either "Rheocasting" or Thi- casting." The former begins with liquid metal and involves agitation during partial solidi?cation followed by forming. The latter begins with solid metal of suitable structure and involves heating to the desired fraction solid and forming. Research over the past 37 years, and particularly over the last decade, has provided a detailed picture of process fundamentals and led to a wide range of speci?c SSM processes and process innovations. Industrial studies and actual p- duction experience are providing a growing picture of the process advantages and limitations. At this time, the conditions for eventual wide adoption of SSM appear favorable, both for nonferrous and ferrous alloys. It must, however, be recognized that major innovations, such as SSM become adopted only slowly by industries where capital costsarehigh,pro?tmarginsaremodest,andfailuretomeetcustomercommitments carries a high penalty.

This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch's Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions. The thesis begins with a historical overview of topological condensed matter physics, placing the work in context, before introducing the generalized form of Bloch's Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Bloch's Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension.

2 The linearized ideal MHO equations. . . . . . . . . . . . 204 3 Spectral problems corresponding to evolutionary problems . . 211 4 Stability of equilibrium configurations and the Energy Principle 215 5 Alternative forms of the plasma potential energy 220 6 Minimization of the potential energy with respect to a parallel displacement . . . . . . . . . . . . . 222 7 Classification of ideal MHO instabilities . 224 8 The linearized non-ideal MHO equations . 226 Chapter 6. Homogeneous and discretely structured plasma oscillations 229 I Introduction . . . . . . . . . . . . . . . 229 2 Alfven waves in an incompressible ideal plasma 230 3 Cold ideal plasma oscillations. . . . 233 4 Compressible hot plasma oscillations 236 5 Finite resistivity effects . . . . . . . 239 6 Propagation of waves generated by a local source 240 7 Stratified plasma oscillations . . . . . . . . . 247 8 Oscillations of a plasma slab . . . . . . . . . 254 9 Instabilities of an ideal stratified gravitating plasma 256 10 Instabilities of a resistive stratified gravitating plasma. 262 Chapter 7. MHO oscillations of a gravitating plasma slab 265 I Introduction . . . . . . . . . . . . . . . 265 2 Gravitating slab equilibrium . . . . . . . . 266 3 Oscillations of a hot compressible plasma slab 267 4 Investigation of the slab stability via the Energy Principle 270 5 On the discrete spectrum of the operator Kk . . . . . . 274 6 On the essential spectrum of the operator Kk . . . . . . 279 7 On the discrete spectrum embedded in the essential spectrum 282 8 The eigenfunction expansion formula . . . . . . . . . . 285 9 Excitation of plasma oscillations by an external power source . 288 10 The linearized equations governing resistive gravitating plasma slab oscillations . . . . . . . . . . . . . . . . . . . . . 290 II Heuristic investigation of resistive instabilities. . . . . . . . . .

This new book is fully up to date with all the latest developments on both theoretical and experimental investigations of the Standard Model (SM) of particle physics with a particular emphasis on its historical development on both sides. It further stresses the cross-fertilisation between the two sub-disciplines of theoretical and experimental particle physics which has been instrumental in establishing the SM. In other words, the book develops a truly phenomenological attitude to the subject. In addition to emphasising the successes of the SM, this book also critically assesses its limitations and raises key unanswered questions for the purpose of presenting a new perspective of how to further our knowledge above and beyond it. It also contains both historical information from past experiments and latest results from the Large Hadron Collider at CERN. This book will be an invaluable reference to advanced undergraduate and postgraduate students, in addition to early-stage researchers in the field. Key Features: Provides a unique approach not found in current literature in developing and verifying the SM Presents the theory pedagogically but rigorously from basic knowledge of quantum field theory Brings together experimental and theoretical practice in one, cohesive text

Physics, rather than mathematics, is the focus in this classic graduate lecture note volume on statistical mechanics and the physics of condensed matter. This book provides a concise introduction to basic concepts and a clear presentation of difficult topics, while challenging the student to reflect upon as yet unanswered questions.

This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics. It focuses on models involving quasi-neutrality approximation, problems related to laser propagation in a plasma, and coupling plasma waves and electromagnetic waves. Applied mathematicians will find a stimulating introduction to the world of plasma physics and a few open problems that are mathematically rich. Physicists who may be overwhelmed by the abundance of models and uncertain of their underlying assumptions will find basic mathematical properties of the related systems of partial differential equations. A planned second volume will be devoted to kinetic models.

First and foremost, this book mathematically derives certain common fluid models from more general models. Although some of these derivations may be well known to physicists, it is important to highlight the assumptions underlying the derivations and to realize that some seemingly simple approximations turn out to be more complicated than they look. Such approximations are justified using asymptotic analysis wherever possible. Furthermore, efficient simulations of multi-dimensional models require precise statements of the related systems of partial differential equations along with appropriate boundary conditions. Some mathematical properties of these systems are presented which offer hints to those using numerical methods, although numerics is not the primary focus of the book.

This book contains a modern selection of about 200 solved problems and examples arranged in a didactic way for hands-on experience with course work in a standard advanced undergraduate/first-year graduate class in thermodynamics and statistical physics. The principles of thermodynamics and equilibrium statistical physics are few and simple, but their application often proves more involved than it may seem at first sight. This book is a comprehensive complement to any textbook in the field, emphasizing the analogies between the different systems, and paves the way for an in-depth study of solid state physics, soft matter physics, and field theory.

Solid-State NMR Characterization of Heterogeneous Catalysts and Catalytic Reactions provides a comprehensive account of state-of-the-art solid-state NMR techniques and the application of these techniques in heterogeneous catalysts and related catalytic reactions. It includes an introduction to the basic theory of solid-state NMR and various frequently used techniques. Special emphasis is placed on characterizing the framework and pore structure, active site, guest-host interaction, and synthesis mechanisms of heterogeneous catalysts using multinuclear one- and two-dimensional solid-sate NMR spectroscopy. Additionally, various in-situ solid-state NMR techniques and their applications in investigation of the mechanism of industrially important catalytic reactions are also discussed. Both the fundamentals and the latest research results are covered, making the book suitable as a reference guide for both experienced researchers in and newcomers to this field. Feng Deng is a Professor at Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences.

This book explores the status of paper-based diagnostic solutions, or Microfluidics 2.0. The contributors explore: how paper-based tests can be widely distributed and utilized by semi-skilled personnel; how close to commercial applications the technology has become, and what is still required to make paper-based diagnostics the game-changer it can be. The technology is examined through the lens of the World Health Organization's ASSURED criteria for low-resource countries (Affordable, Sensitive, Specific, User-friendly, Rapid and robust, Equipment-free, and Deliverable to end-users). Its applications have to include: health technology, environmental technology, food safety, and more. This book is appropriate for researchers in these areas, as well as those interested in microfluidics, and includes chapters dedicated to principles such as theory of flow and surface treatments; components such as biomarkers and detection; and current methods of manufacturing. Discusses how paper-based diagnostics can be used in developing countries by comparing current diagnostic tests with the World Health Organization's ASSURED criteria Examines how paper-based diagnostics could be integrated with other technologies, such as printed electronics, and the Internet of Things. Outlines how semi-skilled personnel across a variety of fields can implement paper-based diagnostics

Remains accessible but incorporates a rigorous mathematical treatment with clarity and emphasizing a contemporary style and a rejuvenated approach Presents a student-friendly and self-contained structure Balances theory and worked examples

Consistent explanation of all basic principles of cavitation. Scientific background for engineering applications. Modern theory and experimental results. Contains objective discussions of controversial issues. Can be used by students.

Advanced Chromatic Monitoring provides a major source of information about the novel approach of chromaticity with examples of how chromaticity may be deployed for various monitoring applications. It shows with examples what can be achieved with chromatic methods in producing relevant information with a variety of test techniques and in facilitating the interpretation of complex data about complicated situations. It will be of interest to postgraduates and researchers in a wide breadth of physical disciplines (engineering, medicine, environmental sciences) and those involved with data acquisition and analysis. Key Features: Applicable to a wide range of disciplines (engineering, medical, environmental, etc) and those interested in science, technology, data acquisition and analysis Provides an extrapolation of new knowledge well beyond that covered in existing literature with regard to dealing with complicated forms and sets of data Addresses inspiring and innovative areas of research including environmental, power delivery and medical monitoring About the Editors: Emeritus Professor Gordon R. Jones - founder and former Director of the Centre for Intelligent Monitoring Systems (CIMS), former Head of the Department of Electrical Engineering and Electronics, and former Director of Electric Arcs Research Group at the University of Liverpool. He was awarded the IEEE Education, Science and Technology Achievement Medal (1999). Professor Joe W. Spencer - the present Director of CIMS at the University of Liverpool, having been Head of the Department of Electrical Engineering and Electronics at Liverpool. He is involved in operating a multi-million pound technology transfer unit (Sensor City, Liverpool) with whose establishment he played a major role and with which CIMS has major interactions.

This collection of classic papers in shock compression science makes available not only some of the most important classic papers on shock waves by Poisson, Rankine, Earnshaw, Riemann, and Hugoniot, which remain important references, but also some pathbreaking papers from the 1940s and 1950s on shocks in solids and fluids by such theorists as Bethe, and Weyl. Although their ideas and results remain of current interest, many of these papers have been hard to find, since the journals in which they were published are not available in many libraries. The editors have also translated papers written in French to make them accessible to a wider audience. This collection is thus not only a valuable historical resource but also a vital reference for those working in the field.

The use of concepts borrowed from topology has led to major athances in t,heorctical physics in recent years. hl quailt,uni field theory. the pionvering work \>?. Skyrme and follow ups on classical solut,ions of Yalig AIills Higgs t,heories has lead to the discovery of t,he lion peturbati~e sectors of gauge theory. Topology has also found its way into colidensed matter physics. Clas sification of defects in ordered media bg 11oinotop~ theorg is a well known example (see e.g. Kleman and Toulouse. Les Kouches XXXV, 1980). More recent,ly. topology and condensed matter physics have again met in t,hc realm of the fract,ioiial cluantml Hall effect. Experimental progress in molecular beam epitaxy techniques leading to high mohilit? samples al lowed the disco\;ery of this reniarkablc and now1 phenomelloii. Th~se cle veloprnents lead also to the at,t,rib~~tion of the 1998 Nobel Prize in physics to Laughlin, Storrner and Tsui. The rlotions of fractional charge as well as fractional statistics ran be interpreted by a topological interaction of infinite rauge. So it is natural to find in the Les Houclles series a school devoted to quantum Hall physics. intcrinediate st,atistics and Chem Sirnons theory. This session also included some one dimensional physics topics like t,he Ca,logero Sutkerland model and some Lut,t,inger liquid physics. Polymer physics is also related to topology. 111 this field topological const,rairlts may be described by concept,^ from knot theory and statist'ical physics. Hence this session also included Brownian motion theory related to knot theory.

This book gives an introduction to computational plasticity and includes the kinematics of large deformations, together with relevant continuum mechanics. Central to the book is its focus on computational plasticity, and we cover an introduction to the finite element method which includes both quasi-static and dynamic problems. We then go on to describe explicit and implicit implementations of plasticity models in to finite element software. Throughout the book, we describe the general, multiaxial form of the theory but uniquely, wherever possible, reduce the equations to their simplest, uniaxial form to develop understanding of the general theory and we hope physical insight. We provide several examples of implicit and explicit implementations of von Mises time-independent and visco-plasticity in to the commercial code ABAQUS (including the fortran coding), which should prove invaluable to research students and practicing engineers developing ABAQUS 'UMATs'. The book bridges the gap between undergraduate material on plasticity and existing advanced texts on nonlinear computational mechanics, which makes it ideal for students and practicing engineers alike. It introduces a range of engineering applications, including superplasticity, porous plasticity, cyclic plasticity and thermo-mechanical fatigue, to emphasize the subject's relevance and importance.