This third edition of one of the most important and best selling textbooks in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.The discussion of strongly interacting condensed matter systems has been expanded. A chapter on stochastic processes has also been added with emphasis on applications of the Fokker-Planck equation.The modern theory of phase transitions occupies a central place. The chapter devoted to the renormalization group approach is largely rewritten and includes a detailed discussion of the basic concepts and examples of both exact and approximate calculations. The development of the basic tools includes a chapter on computer simulations in which both Monte Carlo method and molecular dynamics are introduced, and a section on Brownian dynamics added.The theories are applied to a number of important systems such as liquids, liquid crystals, polymers, membranes, Bose condensation, superfluidity and superconductivity. There is also an extensive treatment of interacting Fermi and Bose systems, percolation theory and disordered systems in general.

Chemical Thermodynamics for Industry presents the latest developments in applied thermodynamics and highlights the role of thermodynamics in the chemical industry. Written by leading experts in the field, Chemical Thermodynamics for Industry covers the latest developments in traditional areas such as calorimetry, microcalorimetry, transport properties, crystallization, adsorption, electrolyte systems and transport fuels, It highlights newly established areas such as multiphase modeling, reactive distillation, non-equilibrium thermodynamics and spectro-calorimetry. It also explores new ways of treating old technologies as well as new and potentially important areas such as ionic liquids, new materials, ab-initia quantum chemistry, nano-particles, polymer recycling, clathrates and the economic value of applied thermodynamics. This book is aimed not only at those working in a specific area of chemical thermodynamics but also at the general chemist, the prospective researcher and those involved in funding chemical research.

This textbook concerns thermal properties of bulk matter and is aimed at advanced undergraduate or first-year graduate students in a range of programs in science or engineering. It provides an intermediate level presentation of statistical thermodynamics for students in the physical sciences (chemistry, nanosciences, physics) or related areas of applied science/engineering (chemical engineering, materials science, nanotechnology engineering), as they are areas in which statistical mechanical concepts play important roles. The book enables students to utilize microscopic concepts to achieve a better understanding of macroscopic phenomena and to be able to apply these concepts to the types of sub-macroscopic systems encountered in areas of nanoscience and nanotechnology.

This thesis explores several interdisciplinary topics at the border of theoretical physics and biology, presenting results that demonstrate the power of methods from statistical physics when applied to neighbouring disciplines. From birth-death processes in switching environments to discussions on the meaning of quasi-potential landscapes in high-dimensional spaces, this thesis is a shining example of the efficacy of interdisciplinary research. The fields advanced in this work include game theory, the dynamics of cancer, and invasion of mutants in resident populations, as well as general contributions to the theory of stochastic processes. The background material provides an intuitive introduction to the theory and applications of stochastic population dynamics, and the use of techniques from statistical physics in their analysis. The thesis then builds on these foundations to address problems motivated by biological phenomena.

Despite more than half a century of theoretical work, the Casimir effect is still not as fully understood as some suppose. In this treatise, the author uncovers new puzzles and paradoxes concerning this mysterious phenomenon. In particular, he clearly demonstrates that the most sophisticated theories fail when confronted with dielectrics in which the refractive index is not uniform but gradually changes.

For almost 20 years the author has conducted research on both macroscopic and molecular theories. The results of his investigation, which can be found in this work, are that irreversible thermodynamics and kinetic theory of matter are not separable especially for nonlinear irreversible processes occurring in systems removed far from equilibrium and thus must be examined together in a mutually consistent manner. Includes coverage of such topics as mass and momentum conservation law, bilinear and quadratic forms for entropy production, viscous phenomena, boundary conditions for velocities and much more.

Written by leading experts in their respective fields, Solidification and Casting provides a comprehensive review of topics fundamental to metallurgy and materials science as well as indicates recent trends.
From an industrial perspective, the book begins with chapters on the casting techniques most commonly used in industry today. It then describes the underlying science fundamental to solidification mechanisms, including fluid flow, the effects of cooling rates, modern simulation, and modelling methods in use and their application in various casting scenarios. Next, the authors consider the microstructure of cast materials and their defects, and explore how different casting processes can control these parameters. The book concludes with the most recent developments in the field and discusses new processes and materials, such as novel alloys and composites, metallic glasses, ceramics, and superconducting oxides.

This book, based on a selection of invited presentations from a topical workshop, focusses on time-variable oscillations and their interactions. The problem is challenging, because the origin of the time variability is usually unknown. In mathematical terms, the oscillations are non-autonomous, reflecting the physics of open systems where the function of each oscillator is affected by its environment. Time-frequency analysis being essential, recent advances in this area, including wavelet phase coherence analysis and nonlinear mode decomposition, are discussed. Some applications to biology and physiology are described. Although the most important manifestation of time-variable oscillations is arguably in biology, they also crop up in, e.g. astrophysics, or for electrons on superfluid helium. The book brings together the research of the best international experts in seemingly very different disciplinary areas.

Thermal Conductivity: Thermal Conductivity of LooseFill Materials by a RadialHeatFlow Method (D.R. Flynn). The Probe Method for Measurement of Thermal Conductivity (A.E. Wechsler). Electrical Resistivity: Methods for Electrical Resistivity Measurement Applicable to Medium and Good Electrical Conductors (B. Cales, P. Abelard). Thermal Diffusivity: Modulated Electron Beam Thermal Diffusivity Equipment (R. De Conink). The Apparatus for Measurement of Thermophysical Properties of Liquids by AC HotWire Technique (L.P. Phylippov et al.). Specific Heat: Practical Modulation Calorimetry (Y.A. Kraftmakher). The Application of Differential Scanning Calorimetry to the Measurement of Specific Heat (M.J. Richardson). Thermal Expansion: Methods of Measuring Thermal Expansion (R.K. Kirby). The Review of Certified Thermophysical Property SRMs. Fourteen additonal articles. Index.

Geostationary or equatorial synchronous satellites are a daily reminder of our space efforts during the past two decades. The nightly television satellite weather picture, the intercontinental telecommunications of television transmissions and telephone conversations, and the establishrnent of educational programs in remote regions on Earth are constant reminders of the presence of these satellites. As used here, the term 'geo stationary' must be taken loosely because, in the long run, the satellites will not remain 'stationary' with respect to an Earth-fixed reference frame. This results from the fact that these satellites, as is true for all satellites, are incessantly subject to perturbations other than the central-body attraction of the Earth. Among the more predominant pertur bations are: the ellipticity of the Earth's equator, the Sun and Moon, and solar radiation pressure. Higher harmonics of the Earth's potential and tidal effects also influence satellite motion, but they are of second order when compared to the predominant perturbations. This volume deals with the theory of geostationary satellites. It consists of seven chapters. Chapter 1 provides a general discussion including a brief history of geostationary satellites and their practical applications. Chapter 2 describes the Earth's gravitational potential field and the methodology of solving the geostationary satellite problem. Chapter 3 treats the effect of Earth's equatorial ellipticity (triaxiality) on a geostationary satellite. Chapter 4 deals with the effects of the Sun and Moon on the satellite's motion while Chapter 5 presents the combined influences of the Sun, Moon and solar radiation pressure. Chapter 6 describes various station-keeping techniques which may be used to make geostationary satellites practically stationary. Finally, Chapter 7 describes the verification of the theory developed in Chapters 3, 4 and 5 by utilizing the Early Bird synchronous satellite observed data as well as its numerically integrated results.

Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a central role.

This is the first organized presentation of a nonlinear elastic approach to twinning and displacive phase transition in crystalline solids. The authors develop geometry, kinematics, and energy invariance in crystals in strong connection and with the purpose of investigating the actual mechanical aspects of the phenomena, particularly in an elastostatics framework based on the minimization of a thermodynamic potential. Interesting for both mechanics and mathematical analysis, the new theory offers the possibility of investigating the formation of microstructures in materials undergoing martensitic phase transitions, such as shape-memory alloys.

Although phenomena such as twinning and phase transitions were once thought to fall outside the range of elastic models, research efforts in these areas have proved quite fruitful. Relevant to a variety of disciplines, including mathematical physics, continuum mechanics, and materials science, Continuum Models for Phase Transitions and Twinning in Crystals is your opportunity to explore these current research methods and topics.

Thermodynamics and Statistical Mechanics provides undergraduate chemistry students with a grounding in both classical and statistical thermodynamics. Thermodynamic quantities and relationships are introduced and developed in a coherent way, enabling students to apply thermodynamic analysis to chemical problems with confidence. Each stage in the development is well illustrated with examples. The text aims to help students understand energy, its different forms and transformations, and the key role of entropy, as applied to chemical systems, addressing questions such as: (i) How much work is performed, and how much heat transfer occurs, during chemical processes and reactions, and how do they depend on temperature? (ii) How is it possible for endothermic processes to occur spontaneously, and will a given reaction occur spontaneously? (iii) What determines the equilibrium between phases? (iv) How do temperature and pressure affect equilibrium? (v) What is the meaning of entropy? (vi) How are macroscopic thermodynamic properties related to microscopic energy levels? Ideal for the needs of undergraduate chemistry students, Tutorial Chemistry Texts is a major series consisting of short, single topic or modular texts concentrating on the fundamental areas of chemistry taught in undergraduate science courses. Each book provides a concise account of the basic principles underlying a given subject, embodying an independent-learning philosophy and including worked examples.

This volume discusses the advances in numerical heat transfer modeling by applying high-performance computing resources, striking a balance between generic fundamentals, specific fundamentals, generic applications, and specific applications.

The essence of temporal universe creation is that any analytical solution has to comply with the boundary condition of our universe; dimensionality and causality constraints. The essence of this book is to show that everything has a price within our temporal (t > 0) universe; energy and time. In mathematics, every postulation needs proof; there exists a solution before searching for the solution. Yet science does not have seem to have a criterion as mathematics does; to prove first that a postulated science exists within our temporal universe. Without such a criterion, fictitious science emerges, as already have been happening in every day's event. In this book, the author has shown there exists a criterion for a postulated science whether or not it is existed within our universe. The author started this book from Einstein's relativity to the creation of our temporal universe. He has shown that every subspace within our universe is created by energy and time, in which subspace and time are coexisted. The important aspect is that every science has to satisfy the boundary condition of our universe; causality and dimensionality. Following up with temporal universe, the author has shown a profound relationship with the second law of thermodynamics. He examines the relationship between entropy with science as well as communication with quantum limited subspace throughout the book. The author discusses the paradox of Schroedinger's Cat (which has been debated by Einstein, Bohr, Schroedinger and many others since 1935) that triggered his discovering that Schroedinger's quantum mechanics is a timeless machine, in which he has disproved the fundamental principle of superposition within our universe. Since quantum mechanics is a virtual mathematics, he has shown that a temporal quantum machine can, in principle, be built on the top of a temporal platform. This book is intended for cosmologists, particle physicists, astrophysicists, quantum physicists, computer scientists, engineers, professors and students as a reference and research-oriented book.

Statistical Thermodynamics and Properties of Matter is written with the advanced undergraduate and graduate student in mind. Its aim is to familiarize the student with the approach that a physicist would take, for example, when tackling problems related to quantum mechanics or thermodynamics.

Contents:
Preface; Contributors 1. High Performance Computing for Fluid Flow and Heat Transfer 2. Unstructured Finite Volume Methods for Multi-Mode Heat Transfer 3. Spectral Element Methods for Unsteady Fluid Flow and Heat Transfer in Complex Geometries: Methodology and Applications 4. Finite-Volume Method for Radiation Heat Transfer 5. Boundary Element Methods for Heat Conduction 6. Molecular Dynamics Method for Microscale Heat Transfer 7. Numerical Methods in Microscale Heat Transfer: Modeling of Phase-Change and Laser Interactions with Materials 8. Current Status of the use of Parrallel Computing in Turbulent Reacting Flows: Computations Involving Sprays, Scalar Monte Carlo Probability Density Function and Unstructured Grids 9. Overview of Current Computational Studies of Heat Transfer in Porous Media and Their Applications-Forced Convection and Multiphase Heat Transfer 10. Overview of Current Computational Studies of Heat Transfer in Porous Material and Their Applications-Natural and Mixed Convection 11. Recent Progress and Some Changes in Thermal Modeling of Electronic Systems; Index

Thermodynamics is used increasingly in ecology to understand the system properties of ecosystems because it is a basic science that describes energy transformation from a holistic view. In the last decade, many contributions to ecosystem theory based on thermodynamics have been published, therefore an important step toward integrating these theories and encouraging a more wide spread use of them is to present them in one volume.
An ecosystem consists of interdependent living organisms that are also interdependent with their environment, all of which are involved in a constant transfer of energy and mass within a general state of equilibrium or dis-equilibrium. Thermodynamics can quantify exactly how "organized" or "disorganized" a system is - an extremely useful to know when trying to understand how a dynamic ecosystem is behaving.
A part of the Environmental and Ecological (Math) Modeling series, Thermodynamics and Ecology is a book-length study - the first of its kind - of the current thinking on how an ecosystem can be explained and predicted in terms of its thermodynamical behavior. After the introductory chapters on the fundamentals of thermodynamics, the book explains how thermodynamic theory can be specifically applied to the "measurement" of an ecosystem, including the assessment of its state of entropy and enthalpy. Additionally, it will show economists how to put these theories to use when trying to quantify the movement of goods and services through another type of complex living system - a human society.

Multilayer networks is a rising topic in Network Science which characterizes the structure and the function of complex systems formed by several interacting networks. Multilayer networks research has been propelled forward by the wide realm of applications in social, biological and infrastructure networks and the large availability of network data, as well as by the significance of recent results, which have produced important advances in this rapidly growing field. This book presents a comprehensive account of this emerging field. It provides a theoretical introduction to the main results of multilayer network science.

In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of "irreversible thermodynamics" behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework.The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-field, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena.

This book serves as an introduction to cryocooler technology and describes the principle applications of cryocoolers across a broad range of fields. It covers the specific requirements of these applications, and describes how the advantages and disadvantages of different cryocooler systems are taken into consideration. For example, Stirling coolers tend to be used only in space applications because of their high coefficient of performance, low weight and proven reliability, whilst Gifford-McMahon coolers are used for ground applications, such as in cryopumps and MRI shield cooling applications. Joule-Thomson cryocoolers are used in missile technology because of the fast cool down requirements. The cryocooler field is fast developing and the number of applications are growing because of the increasing costs of the cryogens such as Helium and Neon. The first chapter of the book introduces the different types of cryocoolers, their classification, working principles, and their design aspects, and briefly mentions some of the applications of these systems. This introductory chapter is followed by a number of contributions from prominent international researchers, each describing a specific field of application, the cooling requirements and the cryocooler systems employed. These areas of application include gas liquefaction, space technology, medical science, dilution refrigerators, missile systems, and physics research including particle accelerators. Each chapter describes the cooling requirements based on the end use, the approximate cooling load calculations, the criteria for cryocooler selection, the arrangement for cryocooler placement, the connection of the cooler to the object to be cooled, and includes genuine case studies. Intended primarily for researchers working on cryocoolers, the book will also serve as an introduction to cryocooler technology for students, and a useful reference for those using cryocooler systems in any area of application.

This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of the spectacular developments of statistical mechanics in the second half of the 20th century.

Der Grundkurs Theoretische Physik deckt in 7 Banden alle fur das Diplom und fur Bachelor/Master-Studiengange massgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rustzeug. UEbungsaufgaben mit ausfuhrlichen Loesungen dienen der Vertiefung des Stoffs. Der 4. Band behandelt die Gebiete Thermodynamik und Relativitatstheorie. Fur die Neuauflage wurde er grundlegend uberarbeitet und um 24 Aufgaben erganzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch ubersichtlicher gegliedert.

Emergence and complexity refer to the appearance of higher-level properties and behaviours of a system that obviously comes from the collective dynamics of that system's components. These properties are not directly deducible from the lower-level motion of that system. Emergent properties are properties of the "whole'' that are not possessed by any of the individual parts making up that whole. Such phenomena exist in various domains and can be described, using complexity concepts and thematic knowledges. This book highlights complexity modelling through dynamical or behavioral systems. The pluridisciplinary purposes, developed along the chapters, are able to design links between a wide-range of fundamental and applicative Sciences. Developing such links - instead of focusing on specific and narrow researches - is characteristic of the Science of Complexity that we try to promote by this contribution.

This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2. While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics. This manifests itself through topological choices for the fractional momentum spacings. The general model is derived by mapping exact models of quantized Hall states onto spin chains. The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics.