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 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.

Several significant additions have been made to the second edition, including the operator method of calculating the bremsstrahlung cross-section, the calcualtion of the probabilities of photon-induced pair production and photon decay in a magnetic
field, the asymptotic form of the scattering amplitudes at high energies, inelastic scattering of electrons by hadrons, and the transformation of electron-positron pairs into hadrons.

The third edition of Van Kampen's standard work has been revised and updated. The main difference with the second edition is that the contrived application of the quantum master equation in section 6 of chapter XVII has been replaced with a satisfactory treatment of quantum fluctuations. Apart from that throughout the text corrections have been made and a number of references to later developments have been included. From the recent textbooks the following are the most relevant.
C.W.Gardiner, Quantum Optics (Springer, Berlin 1991)
D.T. Gillespie, Markov Processes (Academic Press, San Diego 1992)
W.T. Coffey, Yu.P.Kalmykov, and J.T.Waldron, The Langevin Equation (2nd edition, World Scientific, 2004)
* Comprehensive coverage of fluctuations and stochastic methods for describing them
* A must for students and researchers in applied mathematics, physics and physical chemistry

This book is a collection of lectures given in July 2007 at the Les Houches Summer School on "String Theory and the Real World: From particle physics to astrophysics."
Provides a pedagogical introduction to topics in String Theory, and Cosmology
Addresses each topic from the basis to the most recent developments
Covers the lectures by internationally-renowned and leading experts

Many of the devices and systems used in modern industry are becoming progressively smaller and have reached the nanoscale domain. Nanofabrication aims at building nanoscale structures, which can act as components, devices, or systems, in large quantities at potentially low cost. Nanofabrication is vital to all nanotechnology fields, especially for the realization of nanotechnology that involves the traditional areas across engineering and science.
Includes chapters covering the most important Nanofabrication techniques, which aids comprehensive understanding of the latest manufacturing technologies encountered in the field of nano-level manufacturing which is essential for preparing for advanced study and application in nanofabrication techniques by enabling thorough understanding of the entire nanofabrication process as it applies to advanced electronic and related manufacturing technologies.Each chapter covers a nanofabrication technique comprehensively, which allows the reader to learn to produce nanometer-level products as well as collect, process, and analyze data, improve process parameters, and how to assist engineers in research, development and manufacture of the same.

Includes contributions from recognized experts from around the globe, making the reader aware of variations in similar techniques applied in different geographical locations and is better positioned to establish all possible global applications.

A lucid presentation of statistical physics and thermodynamics which develops from the general principles to give a large number of applications of the theory.

Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics.
The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.

In the study of Magnetic Positioning Equations, it is possible to calculate and create analytical expressions for the intensity of magnetic fields when the coordinates x, y and z are known; identifying the inverse expressions is more difficult. This book is designed to explore the discovery of how to get the coordinates of analytical expressions x, y and z when the intensity of the magnetic fields are known. The discovery also deals with the problem of how to analyze, define and design any type of transmitter along with its positioning equation(s).
Presents new simple mathematical solution expressions. Describes how to solve analytically the 6D systems filingDefines practical multiple turns coil transmitters and their positioning equationsUses optimization methods with positioning equations to improve the sensitivity problemPresents more theoretical approach to define magnetic positioning equations

This classic text, first published in 1972, is designed for graduate physics courses in statistical mechanics. The second edition, published in 1996, incorporated three comprehensive chapters on phase transitions and critical phenomena.

This third edition includes new sections on Bose-Einstein condensation and degenerate Fermi behavior of ultracold atomic gases, and two new chapters on computer simulation methods and the thermodynamics of the early universe. We have also added new sections on chemical and phase equilibrium, and expanded our discussions of correlations and scattering, quantized fields, finite-size effects and the fluctuation-dissipation theorem. We hope this new edition will continue to provide new generations of students with a solid training in the methods of statistical physics.

-Bose-Einstein condensation in atomic gases -Thermodynamics of the early universe -Computer simulations: Monte Carlo and molecular dynamics -Correlation functions and scattering -Fluctuation-dissipation theorem and the dynamical structure factor -Chemical equilibrium -Exact solution of the two-dimensional Ising model for finite systems -Degenerate atomic Fermi gases -Exact solutions of one-dimensional fluid models -Interactions in ultracold Bose and Fermi gases -Brownian motion of anisotropic particles and harmonic oscillators"

This book is a collection of lectures given in July 2007 at the Les Houches Summer School on "Dynamos."
Provides a pedagogical introduction to topics in Dynamos
Addresses each topic from the basis to the most recent developments
Covers the lectures by internationally-renowned and leading experts

Atomic collisions offer some unique opportunities to study atomic structure and reaction mechanisms in experiment and theory, especially for projectiles of high atomic number provided by modern accelerators. The book is meant as an introduction into the field and provides some basic theoretical understanding of the atomic processes occurring when a projectile hits another atom. It also furnishes the tools for a mathematical description, however, without going deeper into the technical details, which can be found in the literature given. With this aim, the focus is on reactions, in which only a single active electron participates. Collisional excitation, ionization and charge transfer are discussed for collision velocities ranging from slow to comparable to the
speed of light. For the highest projectile velocities, energy can be converted into mass, so that electron-positron pairs are created. In addition to the systematic treatment, a theoretical section specializes on electron-electron
correlations and three chapters are devoted to selected highlights bordering to surface science and to physics with antiprotons.
* Simple access to the theory of collisions between ions and atoms
* Systematic treatment of basic features needed for an understanding
* Mathematical details are omitted and referred to references
* In order to bear out the essential ideas most clearly, a single active electron is assumed in most cases
* In selected examples, theoretical results are confronted with experiment
* Discussion supported by a large number of illustrations
* Selected highlights in borderline fields are presented

This book deals with density, temperature, velocity and concentration fluctuations in fluids and fluid mixtures. The book first reviews thermal fluctuations in equilibrium fluids on the basis of fluctuating hydrodynamics. It then shows how the method of fluctuating hydrodynamics can be extended to deal with hydrodynamic fluctuations when the system is in a stationary nonequilibrium state. In contrast to equilibrium fluids where the fluctuations are generally short ranged unless the system is close to a critical point, fluctuations in nonequilibrium fluids are always long-ranged encompassing the entire system. The book provides the first comprehensive treatment of fluctuations in fluids and fluid mixtures brought out of equilibrium by the imposition of a temperature and concentration gradient but that are still in a macroscopically quiescent state. By incorporating appropriate boundary conditions in the case of fluid layers, it is shown how fluctuating hydrodynamics affects the fluctuations close to the onset of convection. Experimental techniques of light scattering and shadowgraphy for measuring nonequilibrium fluctuations are elucidated and the experimental results thus far reported in the literature are reviewed.
- Systematic exposition of fluctuating hydrodynamics and its applications
- First book on nonequilibrium fluctuations in fluids
- Fluctuating Boussinesq equations and nonequilibrium fluids
- Fluid layers and onset of convection
- Rayleigh scattering and Brillouin scattering in fluids
- Shadowgraph technique for measuring fluctuations
- Fluctuations near hydrodynamic instabilities

Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere.
Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields.
The fundamental problem of stochastic dynamics is to identify the essential characteristics of system (its state and evolution), and relate those to the input parameters of the system and initial data.
This raises a host of challenging mathematical issues. One could rarely solve such systems exactly (or approximately) in a closed analytic form, and their solutions depend in a complicated implicit manner on the initial-boundary data, forcing and system's (media) parameters . In mathematical terms such solution becomes a complicated "nonlinear functional" of random fields and processes.
Part I gives mathematical formulation for the basic physical models of transport, diffusion, propagation and develops some analytic tools.
Part II sets up and applies the techniques of variational calculus and stochastic analysis, like Fokker-Plank equation to those models, to produce exact or approximate solutions, or in worst case numeric procedures. The exposition is motivated and demonstrated with numerous examples.
Part III takes up issues for the coherent phenomena in stochastic dynamical systems, described by ordinary and partial differential equations, like wave propagation in randomly layered media (localization), turbulent advection of passive tracers (clustering).
Each chapter is appended with problems the reader to solve by himself (herself), which will be a good training for independent investigations.
.This book is translation from Russian and is completed with new principal results of recent research.
.The book develops mathematical tools of stochastic analysis, and applies them to a wide range of physical models of particles, fluids, and waves.
.Accessible to a broad audience with general background in mathematical physics, but no special expertise in stochastic analysis, wave propagation or turbulence"

This volume is a collection of papers which were presented at the 2001 International Conference on Rapid Thermal Processing (RTP 2001) held at Ise Shima, Mie, on November 14-16, 2001. This symposium is second conference followed the previous successful first International RTP conference held at Hokkaido in 1997. The RTP 2001 covered the latest developments in RTP and other short-time processing continuously aiming to point out the future direction in the Silicon ULSI devices and II-VI, III-V compound semiconductor devices.
This book covers the following areas: advanced MOS gate stack, integration technologies, advancd channel engineering including shallow junction, SiGe, hetero-structure, novel metallization, inter-connect, silicidation, low-k materials, thin dielectrics including gate dielectrics and high-k materials, thin film deposition including SiGe, SOI and SiC, process and device modelling, Laser-assisted crystallization and TFT device fabrication technologies, temperature monitoring and slip-free technologies.

The Russian-English volume contains about 50,000 terms covering various fields and subfields of nuclear engineering and technology: nuclear physics, thermonuclear research, nuclear reactors, nuclear fuel, isotopes, radiation, reliability and safety issues, environmental protection, emergency issues, radiation hazards. Terms from the military nuclear field are also included, as well as the names of nuclear power plants and nuclear societies worldwide. It also contains a section of about 250 abbreviations.

Introduction to Relativity is intended to teach physics and astronomy majors at the freshman, sophomore or upper-division levels how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity," everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor.
* Simplicity: the book teaches space and time in relativity in a physical fashion with minimal mathematics
* Conciseness: the book teaches relativity by emphasizing the basic simplicity of the principles at work
* Visualization: space-time diagrams (Minkowski) illustrate phenomena from simultaneity to the resolution of the twin paradox in a concrete fashion
* Worked problems: two chapters of challenging problems solved in several ways illustrate and teach the principles
* Problem sets: each chapter is accompanied by a full set of problems for the student that teach the principles and some new phenonmena

This is a practical textbook written for use by engineers, scientists and technicians. It is not intended to be a rigorous scientific treatment of the subject material, as this would fill several volumes. Rather, it introduces the reader to the fundamentals of the subject material, and provides sufficient references for an in-depth study of the subject by the interested technologist. The author has a lifetime teaching credential in the California Community College System. Also, he has taught technical courses with the American Vacuum Society for about 35 years. Students attending many of these classes have backgrounds varying from high-school graduates to Ph.D.s in technical disciplines. This is an extremely difficult class profile to teach. This book still endeavors to reach this same audience. Basic algebra is required to master most of the material. But, the calculus is used in derivation of some of the equations. The author risks use of the first person "I," instead of "the author," and "you" instead of "the reader." Both are thought to be in poor taste when writing for publication in the scientific community. However, "I" am writing this book for "you" because the subject is exciting, and I enjoy teaching you, perhaps, something new. The book is written more in the vein of a "one-on-one" discussion with you, rather than the author lecturing to the reader. There are anecdotes, and examples of some failures and successes I have had over the last forty-five years in vacuum related activities, I'll try not to understate either.
Lastly, there are a few equations which if memorised will help you as a vacuum technician. There are less than a dozen equations and half that many "rules of thumb" to memorize, which will be drawn on time an again in designing, operating and trouble-shooting any vacuum system.

This book is intended to help newly graduated chemists, particularly organic chemists, at all levels from bachelors to post-doctorates, find careers in the North American pharmaceutical industry. It will serve as a practical, detailed guiedbook for job seekers as well a reference work for faculty advisers, research supervisors, development officers, employment agents, and personnel managers in the industry. The book gathers in a single volume the fundamentals of getting an industrial job as a medicinal or process chemist, and covers all aspects of a chemist's job--scientific, financial, and managerial--within a pharmaceutical/biotechnology company. Other scientists looking for jobs as analytical or physical chemists and even biochemists and biologists will find the book useful. The valuable appendix is a unique compendium of 365 commercial, governmental, or non-profit institutions that comprise the North American pharmaceutical industry.
Key Features
* Learn How To:
* Discover the 12 permanent, big-pharma jobs for B.S. chemists
* Use the 500+ company index to locate potential employers
* Track pharma openings with 190+ corporate and chemist-specific job banks
* Add industry veterans to your employment network
* Find the 50+ companies offering paid summer internships to students
* Include the one resume item that wins interviews for B.S. and M.S. chemists
* Express a knowledgeable preference for drug discovery or development
* Research over 360 drug companies through their Web sites
* Discover the 70+ firms offering stock purchase plans or stock options3/4and which two represent big pharma
* Find out your salary offer in time to negotiate your wages

In this second edition several new topics of technological interest have been added. These include: coupled mechanical and nonmechanical overall properties of heterogeneous piezoelectric materials, new upper and lower bounds for these coupled properties, a systematic comparison between the average-field theory and the results obtained using multi-scale perturbation theory, an account of the uniform-field theory, improveable bounds on overall moduli of heterogeneous materials which remain finite even when isolated cavities and rigid inclusions are present, and a brief account of a fundamental duality principle in anisotropic elasticity. In addition, better explanations of a number of topics are given, more recent references are added, the Subject Index has been expanded and printing and typographical errors have been corrected.

The material is organized into two parts preceded by a precis. Part 1 consists of four chapters which are organized into fourteen sections and four appendixes. It deals with materials with microdefects such as cavities, cracks, and inclusions, as well as with elastic composites. Part 2 consists of two chapters which are divided into seven sections. It provides an introduction to the theory of linear elasticity, added to make the book self-contained, since linear elasticity serves as the basis of the development of small-deformation micromechanics.

Part 2 mainly contains part of the lecture notes on elasticity which the first author wrote in the late 1960's. The material is mostly standard, given for background information.

The first edition of this highly successful book appeared in 1975 and evolved from lecture notes for classes in physical optics, diffraction physics and electron microscopy given to advanced undergraduate and graduate students. The book deals with electron diffraction and diffraction from disordered or imperfect crystals and employed an approach using the Fourier transform from the beginning instead of as an extension of a Fourier series treatment.

This third revised edition is a considerably rewritten and updated version which now includes all important developments which have taken place in recent years.

Volume 7 is a direct continuation of Volume 6, which documented the birth of the complementarity argument and its earliest elaborations. It covers the extension and refinement of the complementarity argument from 1933 until Bohrs' death in 1962. All Bohr's publications on the subject, together with selected manuscripts and extracts of his correspondence with friends and fellow pioneers such as Werner Heisenberg and Wolfgang Pauli, are included.

Divided into two, largely independent parts, the volume begins with Bohr's contributions to "Relativistic Quantum Theory." Together with Leon Rosenfeld, Bohr undertook a thorough investigation of the measuring problem in quantum electrodynamics and demonstrated the full accordance between the formalism and the result of idealized thought experiments.

The articles in the second part, although also restricted in scope to the field of physics, address a broader audience. One of the most impressive treatises is Bohr's own account of his debates with Albert Einstein, over more than twenty years, on the consistency, the completeness and the epistemological consequences of quantum mechanics.

Volumes 6 and 7 of the Collected Works are in turn related to the forthcoming Volume 10 which broadens the scope by presenting Bohr's applications of the complementarity argument beyond the domain of physics. Although each volume may be read independently, careful attention should be paid to the interrelationships between each volume in order to appreciate the subtlety of Bohr's continued elaboration and fine-tuning of his complementarity argument.

In its original form, this widely acclaimed primer on the fundamentals of quantized semiconductor structures was published as an introductory chapter in Raymond Dingle's edited volume (24) of Semiconductors and Semimetals. Having already been praised by reviewers for its excellent coverage, this material is now available in an updated and expanded "student edition." This work promises to become a standard reference in the field. It covers the basics of electronic states as well as the fundamentals of optical interactions and quantum transport in two-dimensional quantized systems. This revised student edition also includes entirely new sections discussing applications and one-dimensional and zero-dimensional systems.
Key Features
* Available for the first time in a new, expanded version
* Provides a concise introduction to the fundamentals and fascinating applications of quantized semiconductor structures

Comprising two volumes this work provides a particularly comprehensive account of the development of kinetic theory and statistical mechanics up to the beginning of the 20th century. The author's historical researches go far beyond any other books on the subject, filling in many more details and putting the history of kinetic theory in the context of 19th century scientific and intellectual history. In the course of detailed examination of the sources, both published and unpublished, the author throws much new light on the dynamics of scientific change, and refutes some generally accepted ideas about historical events. In one section of the work, he demonstrates the use of a kind of historical document which has rarely, if ever, been exploited by historians of science, namely, referees' reports. The work is primarily directed towards physicists, but as it is not only concerned with technical aspects of the history of physics but also deals with cultural and philosophical connections, it will also appeal to historians of science and philosophers. Book 2 is completed by an unusually comprehensive bibliography.

The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.