Traditionally, randomness and determinism have been viewed as being diametrically opposed, based on the idea that causality and determinism is complicated by "noise." Although recent research has suggested that noise can have a productive role, it still views noise as a separate entity. This work suggests that this not need to be so. In an informal presentation, instead, the problem is traced to traditional assumptions regarding dynamical equations and their need for unique solutions. If this requirement is relaxed, the equations admit for instability and stochasticity evolving from the dynamics itself. This allows for a decoupling from the "burden" of the past and provides insights into concepts such as predictability, irreversibility, adaptability, creativity and multi-choice behaviour. This reformulation is especially relevant for biological and social sciences whose need for flexibility a propos of environmental demands is important to understand: this suggests that many system models are based on randomness and nondeterminism complicated with a little bit of determinism to ultimately achieve concurrent flexibility and stability. As a result, the statistical perception of reality is seen as being a more productive tool than classical determinism. The book addresses scientists of all disciplines, with special emphasis at making the ideas more accessible to scientists and students not traditionally involved in the formal mathematics of the physical sciences. The implications may be of interest also to specialists in the philosophy of science.
-Presents the ideas in an informal language.
-Provides tools for exploring data for singularities.

The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems.
. Presents comprehensive theory and methodology of stability analysis
. Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation
. Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers

The COSPAR Colloquium on Solar-Terrestrial Magnetic Activity and Space Environment (STMASE) was held in the National Astronomy Observatories of Chinese Academy of Sciences (NAOC) in Beijing, China in September 10-12, 2001. The meeting was focused on five areas of the solar-terrestrial magnetic activity and space environment studies, including study on solar surface magnetism; solar magnetic activity, dynamical response of the heliosphere; space weather prediction; and space environment exploration and monitoring. A hot topic of space research, CMEs, which are widely believed to be the most important phenomenon of the space environment, is discussed in many papers. Other papers show results of observational and theoretical studies toward better understanding of the complicated image of the magnetic coupling between the Sun and the Earth, although little is still known little its physical background. Space weather prediction, which is very important for a modern society expanding into out-space, is another hot topic of space research. However, a long way is still to go to predict exactly when and where a disaster will happen in the space. In that sense, there is much to do for space environment exploration and monitoring. The manuscripts submitted to this Monograph are divided into the following parts: (1) solar surface magnetism, (2) solar magnetic activity, (3) dynamical response of the heliosphere, (4) space environment exploration and monitoring; and (5) space weather prediction. Papers presented in this meeting but not submitted to this Monograph are listed by title as unpublished papers at the end of this book.

This book focuses on the computational and theoretical approaches to the coupling of fluid mechanics and solids mechanics. In particular, nonlinear dynamical systems are introduced to the handling of complex fluid-solid interaction systems, For the past few decades, many terminologies have been introduced to this field, namely, flow-induced vibration, aeroelasticity, hydroelasticity, fluid-structure interaction, fluid-solid interaction, and more recently multi-physics problems. Moreover, engineering applications are distributed within different disciplines, such as nuclear, civil, aerospace, ocean, chemical, electrical, and mechanical engineering. Regrettably, while each particular subject is by itself very extensive, it has been difficult for a single book to cover in a reasonable depth and in the mean time to connect various topics. In light of the current multidisciplinary research need in nanotechnology and bioengineering, there is an urgent need for books to provide such a linkage and to lay a foundation for more specialized fields.
- Interdisciplinary across all types of engineering
- Comprehensive study of fluid-solid interaction
- Discusses complex system dynamics derived from interactive systems
- Provides mathematic modeling of biological systems

This book is a collection of lectures given in August 2006 at the Les Houches Summer School on Particle Physics and Cosmology: the Fabric of Spacetime . It provides a pedagogical introduction to the various aspects of both particle physics beyond the Standard Model and Cosmology of the Early Universe, covering each topic from the basics to the most recent developments.
. Provides a pedagogical introduction to topics at the interface of particle physics and cosmology
. Addresses each topic from the basis to the most recent developments
. Provides necessary tools to build new theoretical models addressing various issues both in cosmology and particle physics
. Covers the lectures by internationally-renowned and leading experts
. Faces the predictions of theoretical models against collider experimental data as well as from cosmological observations

Deep connections are emerging in the physics of non-thermal systems, such as granular media, and other "complex systems" such as glass formers, spin glasses, colloids or gels. This book discusses the unifying physical theories, developed in recent years, for the description of these systems. The special focus of the book is on recent important developments in the formulation of a Statistical Mechanics approach to granular media and the description of out-of-equilibrium dynamics, such as "jamming" phenomena, ubiquitous in these "complex systems." The book collects contributions from leading researchers in these fields, providing both an introduction, at a graduate level, to these rapidly developing subjects and featuring an up to date, self contained, presentation of theoretical and experimental developments for researchers in areas ranging from Chemistry, to Engineering and Physical Sciences.
-the book discusses very hot topics in physical sciences
-it includes contributions from the most prominent researchers in the area
-it is clearly written and self contained

Hardbound. Volume XXXV contains six review articles.The first article is a discussion on transverse light patterns in non-linear media, lasers and wide aperture interferometers. The next article deals with the detection and spectroscopic studies of single molecules in transparent solids at low temperature. The isolated spectral line of a single molecule makes it possible to perform basic quantum measurements, and allows probing in unprecedented detail of the surrounding solid matrix. The article also includes some suggestions for future research in this field.The next article reviews interferometric techniques for retrieving multispectral images with a large number of spectral channels. Special attention is paid to the theory of interferometric multispectral imaging which unifies the theories of coherence based image retrieval and spectrum recovery. Various techniques are compared, especially in terms of signal-to-noise-ratio.This chapter is foll

Scattering experiments, using X-ray, light and neutron sources (in historical order) are key techniques for studying structure and dynamics in systems containing colliods, polymers, surfactants and biological macromolecules, summarized here as soft condensed matter. The education in this field in Europe is very heterogeneous and frequently inadequate, which severely limits an efficient use of these methods, especially at large-scale facilities. The series of "Bombannes" schools and the completely revised and updated second edition of the lecture notes are devoted to a practical approach to current methodology of static and dynamic techiques. Basic information on data interpretation, on the complementarity of the different types of radiation, as well as information on recent applications and developments is presented. The aim is to avoid over - as well as under-exploitation of data.

The book on Heavy-Fermion Systems is a part of the Book series "Handbook of Metal Physics," each volume of which is written to facilitate the research of Ph.D. students, faculty and other researchers in a specific area. The Heavy-Fermions (sometimes known as Heavy-Electrons) is a loosely defined collection of intermetallic compounds containing rare-earth (mostly Ce) or actinide (mostly U) elements. These unusual names were given due to the large effective mass (100-1,000 times greater than the mass of a free electron) below a critical temperature. They have a variety of ground states including superconducting, antiferromagnetic, paramagnetic or semiconducting. Some display unusual magnetic properties such as magnetic quantum critical point and metamagnetism. This book is essentially a summary as well as a critical review of the theoretical and experimental work done on Heavy Fermions.
- Extensive research references.
- Comprehensive review of a very rapidly growing number of theories.
- Summary of all important experiments.
- Comparison with other highly correlated systems such as High-Tc Superconductors.
- Possible Technological applications.

Thin Metallic multilayer films have become an important part in today's computer technology. The giant magnetoresistance (GMR) effect, which plays a central role here, was discovered in the late 1980s. This can be essentially described as the effect of a magnetic field on the electron transport leading to significant changes in the resistance. Other aspects of multilayers systems, such as stability, growth, confinement are also addressed. Theoretical and experimental methods used in such work are described in some detail, with special emphasis on density functional and spin density functional theories. Magnetic anisotropy in thin films is also discussed while addressing unresolved issues and new results from exchange-bias experiments.
* Discusses the GMR effect
* What makes multilayers interesting and useful?
* What are the latest discoveries in this field?
* Simple insights in to the physics behind multilayers
* Novel concepts at small length scales
* Theoretical and experimental background

There has been recently some interdisciplinary convergence on a number of precise topics which can be considered as prototypes of complex systems. This convergence is best appreciated at the level of the techniques needed to deal with these systems, which include:
1) A domain of research around a multiple point where statistical physics, information theory, algorithmic computer science, and more theoretical (probabilistic) computer science meet: this covers some aspects of error correcting codes, stochastic optimization algorithms, typical case complexity and phase transitions, constraint satisfaction problems.
2) The study of collective behavior of interacting agents, its impact on understanding some types of economical and financial problems, their link to population and epidemics dynamics, game theory, social, biological and computer networks and evolution.
The present book is the written version of the lectures given during the Les Houches summer school session on "Complex Systems," devoted to these emerging interdisciplinary fields. The lectures consist both in a number of long methodological courses (probability theory, statistical physics of disordered systems, information theory, network structure and evolution, agent-based economics and numerical methods) and more specific, 'problem oriented' courses. Lecturers are all leading experts in their field; they have summarized recent results in a clear and authoritative manner. The "Les Houches lecture notes" have a long tradition of excellence and are often found to be useful for a number of years after they were written.
The book is of interest to students and researchers with various backgrounds: probability theory, computer science, information theory, physics, finance, biology, etc.
.Topical and comprehensive survey of the emerging, interdisciplinary field of "Complex Systems," covered by recognized world experts
."Les Houches lectures notes": a long tradition of excellence and long-lasting impact
.Of interest to a broad audience (mathematics, physics, biology, informatics, finance, geology, etc.)
.Some applications may have concrete impact
.Selected topics in complex systems: forefront of research in the field"

The fourth edition contains seven new sections with chapters on General Relativity, Gravitational Waves and Relativistic Cosmology. The text has been thoroughly revised and additional problems inserted.

The Complete course of Theoretical Physics by Landau and Lifshitz, recognized as two of the world's outstanding physicists, is published in full by Butterworth-Heinemann. It comprises nine volumes, covering all branches of the subject; translations from the Russian are by leading scientists.

A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.

This volume is mainly concerned with a systematic development of the theory of plasmas, the authority being firmly rooted in the pioneering work of Landau. Corresponding results are also given for partially ionized plasmas, relativistic plasmas, degenerate or non-ideal plasmas and solid state plasmas.

It has been recognised recently that the strange features of the quantum world could be used for new information transmission or processing functions such as quantum cryptography or, more ambitiously, quantum computing. These fascinating perspectives renewed the interest in fundamental quantum properties and lead to important theoretical advances, such as quantum algorithms and quantum error correction codes. On the experimental side, remarkable advances have been achieved in quantum optics, solid state physics or nuclear magnetic resonance. This book presents the lecture notes of the Les Houches Summer School on 'Quantum entanglement and information processing'. Following the long tradition of the les Houches schools, it provides a comprehensive and pedagogical approach of the whole field, written by renowned specialists.
One major goal of this book is to establish connections between the communities of quantum optics and of quantum electronic devices working in the area of quantum computing. When two communities share the same goals, the universality of physics unavoidably leads to similar developments. However, the communication barrier is often high, and few physicists are able to overcome it. This school has contributed to bridge the existing gap between communities, for the benefit of the future actors in the field of quantum computing.
The book thus combines introductory chapters, providing the reader with a sufficiently wide theoretical framework in quantum information, quantum optics and quantum circuits physics, with more specialized presentations of recent theoretical and experimental advances in the field. This structure makes the book accessible to any graduatestudent having a good knowledge of basic quantum mechanics, and extremely useful to researchers.
-Covers quantum optics, solid state physics and NMR implementations
-Pedagogical approach combining introductory lectures and advanced chapters
-Written by leading experts in the field
-Accessible to all graduate students with a basic knowledge of quantum mechanics

A revision of the leading text on experimental physics. The feature of this book that has made it one of the most loved texts on the subject is that it goes far beyond a mere description of key experiments in physics. The author successfully provides the reader with an understanding and appreciation of the 'physics' behind the experiments. The second edition will be an extensive revision introducing many new devices, including the use of computers and software programs, that have come into use since the publication of the first edition. In addition the important areas of condensed matter physics and optical physics will be added, including two entirely new chapters on lasers and optics.
.Modern analysis and acquisition techniques
.Integration with matlab for data analysis and display
.New experiments include fundamentals of lasers

Modern Cosmology begins with an introduction to the smooth, homogeneous universe described by a Friedman-Robertson-Walker metric, including careful treatments of dark energy, big bang nucleosynthesis, recombination, and dark matter. From this starting point, the reader is introduced to perturbations about an FRW universe: their evolution with the Einstein-Boltzmann equations, their generation by primordial inflation, and their observational consequences. These consequences include the anisotropy spectrum of the cosmic microwave background (CMB) featuring acoustic peaks and polarization, the matter power spectrum with baryonic wiggles, and their detection via photometric galaxy surveys, redshift distortions, cluster abundances, and weak lensing. The book concludes with a long chapter on data analysis.
Modern Cosmology is the first book to explain in detail the structure of the acoustic peaks in the CMB, the E/B decomposition in polarization which may allow for detection of primordial gravity waves, and the modern analysis techniques used on increasingly large cosmological data sets. Readers will gain the tools needed to work in cosmology and learn how modern observations are rapidly revolutionizing our picture of the universe.
* Provides foundations, calculations, and interpretations which illuminate current thinking in cosmology
* Covers the major advances in cosmology over the past decade
* Includes over 100 unique, pedagogical figures

This book is a collection of some of the invited talks presented at the international meeting held at the Max Planck Institut fuer Physik Komplexer Systeme, Dresden, Germany during August 6-30, 2001, on the rapidly developing field of nanoscale science in science and bio-electronics Semiconductor physics has experienced unprecedented developments over the second half of the twentieth century. The exponential growth in microelectronic processing power and the size of dynamic memorie has been achieved by significant downscaling of the minimum feature size. Smaller feature sizes result in increased functional density, faster speed, and lower costs. In this process one is reaching the limits where quantum effects and fluctuations are beginning to play an important role.
"This book reflects the achievements of the present times and future directions of research on nanoscopic dimensions."

Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor.
The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book.

This is the most comprehensive introductory graduate or advanced undergraduate text in fluid mechanics available. It builds up from the fundamentals, often in a general way, to widespread applications, to technology and geophysics.
New to this second edition are discussions on the universal dimensions similarity scaling for the laminar boundary layer equations and on the generalized vector field derivatives. In addition, new material on the generalized streamfunction treatment shows how streamfunction may be used in three-dimensional flows. Finally, a new Computational Fluid Dynamics chapter enables compulations of some simple flows and provides entry to more advanced literature.
* Basic introduction to the subject of fluid mechanics, intended for undergraduate and beginning graduate students of science and engineering.
* Includes topics of special interest for geophysicists and to engineers.
* New and generalized treatment of similar laminar boundary layers, streamfunctions for three-dimensional flows, vector field derivatives, and gas dynamics. Also a new generalized treatment of boundary conditions in fluid mechanics, and expanded treatment of viscous flows.

This book offers an elementary and unified introduction to the non-perturbative results obtained in relativistic quantum field theory based on classical soliton and instanton solutions. Such solutions are derived for a variety of models and classified by topological indices. The methods are then developed for quantizing solitons to obtain quantum particles. Vacuum tunneling, &ugr;-vacua and the dilute-instanton-gas approximation are described in detail. Other instanton effects related to quark-quark forces, confinement, the U(1) problem and Borel summability are also discussed. The emphasis is on presenting the basic ideas in a simple pedagogical way. Technical tools like functional methods, Grassman integrals, homotopy classification, collective co-ordinates etc. are developed ab initio.
The presentation of this work is kept at a fairly simple level and ideas are developed through illustrative examples. Techniques not covered in older field theory textbooks, such as functional integral methods, are presented in some detail to the necessary extent. These techniques are important in their own right. Although the book is mainly addressed to particle physicists and quantum field theorists, several portions will be of relevance to other branches of physics, particularly statistical mechanics. These include three chapters devoted to deriving classical soliton and instanton solutions and one on collective co-ordinates, as well as sections devoted to general techniques.

Covers the theory of electromagnetic fields in matter, and the theory of macroscopic electric and magnetic properties of matter. There is a considerable amount of new material particularly on the theory of the magnetic properties of matter and the theory
of optical phenomena with new chapters on spatial dispersion and non-linear optics.

This is the first volume to appear under the joint editorship of J.P. Hirth and F.R.N. Nabarro. While Volume 11 concentrated on the single topic of dislocations and work hardening, the present volume spreads over the whole range of the study of dislocations from the application by Kleman and his colleagues of homotopy theory to classifying the line and point defects of mesomorphic phases to Chaudhri's account of the experimental observations of dislocations formed around indentations.

Chapter 64, by Cai, Bulatove, Chang, Li and Yip, discusses the influence of the structure of the core of a dislocation on its mobility. The power of modern computation allows this topic to be treated from the first principles of electron theory, and with empirical potentials for more complicated problems. Advances in electron microscopy allow these theoretical predictions to be tested.

In Chapter 65, Xu analyzes the emission of dislocations from the tip of a crack and its influence on the brittle to ductile transition. Again, the treatment is predominantly theoretical, but it is consistently related to the very practical example of alpha iron.

In a dazzling interplay of experiment and abstract mathematics, Kleman, Lavrentovich and Nastishin analyze the line and point structural defects of the many mesomorphic phases which have become known in recent years.

Chapter 67, by Coupeau, Girard and Rabier, is essentially experimental. It shows how the various modern techniques of scanning probe microscopy can be used to study dislocations and their interaction with the free surface.

Chapter 68, by Mitchell and Heuer, considers the complex dislocations that can form in ceramic crystals on the basisof observations by transmission electron microscopy and presents mechanistic models for the motion of the dislocations in various temperature regimes.

While the underlying aim of the study of dislocations in energetic crystals by Armstrong and Elban in Chapter 69 is to understand the role of dislocations in the process of detonation, it has the wider interest of studying dislocations in molecular crystals which are elastically soft, plastically hard, and brittle''.

Chaudhri in Chapter 70 discusses the role of dislocations in indentation processes, largely on the basis of the elastic analysis by E.H. Yoffe. The special case of nanoindentations is treated only briefly.

This volume contains five articles presenting reviews of several topics of current research which are likely to be of interest to optical scientists and optical engineers. The first article, by J. Ohtsubo, deals with the dynamics of feedback-induced instability and chaos. The characteristics of semiconductor lasers based on the rate equations, including various laser structures, are reviewed and the effects of optical feedback in semiconductor lasers are then discussed. the general area of the nonlinear interaction of ultrafast pulses with optical and photonic crystal fibres are discussed. In particular, ultrafast pulse measurements, pulse shaping and pulse control are discussed. transient optical phenomena that take place in the spatial-temporal dynamics of ultrashort pulses. The interplay of diffractive and dispersive phenomena is examined. They include coupled processes of amplitude and phase reshaping, spectral variations and polarity reversal for different types of light pulses. Reflection and refraction effects that take place at the interface between media with time-dependent dielectric susceptibilities are also discussed. principles of optical coherence tomography (OCT). This is a relatively new discipline with important potential applications in macropscopic, microscopic and endoscopic imaging. The article begins with a brief summary of the field and then describes various OCT interferometer configurations and discusses basic sample signal extraction techiques. The article also covers subjects such as contrast generation techniques, resolution, signal processing techiques for image display, image enhancement, speckle suppression and OCT detection sensitivity. A description of optical delay lines used in OCT is also presented. concerned with modulation instability (MI) of electromagnetic waves in inhomogeneous and in discrete media. The article pays special attention to the MI of electromagnetic waves in nonlinear optical fibres with periodic amplification, dispersion and birefringence. The MI in random media is also covered. Other topics discussed in this article are discrete nonlinear systems with cubic, quadratic and vectorial interactions and nonlinear optical systems such as tunnel-coupled filters. Some of the readers may note that authors from six different countries have contributed to this volume, thus helping to maintain the international character of this series.

In 1912 Victor Franz Hess made the revolutionary discovery that ionizing radiation is incident upon the Earth from outer space. He showed with ground-based and balloon-borne detectors that the intensity of the radiation did not change significantly between day and night. Consequently, the sun could not be regarded as the sources of this radiation and the question of its origin remained unanswered. Today, almost one hundred years later the question of the origin of the cosmic radiation still remains a mystery.
Hess' discovery has given an enormous impetus to large areas of science, in particular to physics, and has played a major role in the formation of our current understanding of universal evolution. For example, the development of new fields of research such as elementary particle physics, modern astrophysics and cosmology are direct consequences of this discovery. Over the years the field of cosmic ray research has evolved in various directions: Firstly, the field of particle physics that was initiated by the discovery of many so-called elementary particles in the cosmic radiation. There is a strong trend from the accelerator physics community to reenter the field of cosmic ray physics, now under the name of astroparticle physics. Secondly, an important branch of cosmic ray physics that has rapidly evolved in conjunction with space exploration concerns the low energy portion of the cosmic ray spectrum. Thirdly, the branch of research that is concerned with the origin, acceleration and propagation of the cosmic radiation represents a great challenge for astrophysics, astronomy and cosmology. Presently very popular fields of research have rapidly evolved, such as high-energy gamma ray and neutrino astronomy. In addition, high-energy neutrino astronomy may soon initiate as a likely spin-off neutrino tomography of the Earth and thus open a unique new branch of geophysical research of the interior of the Earth. Finally, of considerable interest are the biological and medical aspects of the cosmic radiation because of it ionizing character and the inevitable irradiation to which we are exposed.

This book is a reference manual for researchers and students of cosmic ray physics and associated fields and phenomena. It is not intended to be a tutorial. However, the book contains an adequate amount of background materials that its content should be useful to a broad community of scientists and professionals. The present book contains chiefly a data collection in compact form that covers the cosmic radiation in the vicinity of the Earth, in the Earth's atmosphere, at sea level and underground. Included are predominantly experimental but also theoretical data. In addition the book contains related data, definitions and important relations. The aim of this book is to offer the reader in a single volume a readily available comprehensive set of data that will save him the need of frequent time consuming literature searches.