Einstein's theories of relativity piqued public curiosity more than any other mathematical concepts since the time of Isaac Newton. Scientists and non-scientists alike struggled, not so much to grasp as to believe the weird predictions of relativity theory--shrinking space ships, bending light beams, and the like. People all over the world watched with fascination as Einstein's predictions were relentlessly and unequivocally verified by a hundred experiments and astronomical observations.

In the last decade of the twentieth-century, another of Einstein's theories has produced results that are every bit as startling as the space-time contractions of relativity theory. This book addresses his other great theory, that of heat capacity and the Bose-Einstein condensate. In doing so, it traces the history of radiation and heat capacity theory from the mid-19th century to the present. It describes early attempts to understand heat and light radiation and proceeds through the theory of the heat capacity of solids. It arrives at the theory of superconductivity and superfluidity--the astonishing property of some liquids to crawl spontaneously up and out of their containers, and the ability of some gases to cause light to pause and take a moment's rest from its inexorable flight forward in time. Couched in the terminology of traditional physical chemistry, this book is accessible to chemists, engineers, materials scientists, mathematicians, mathematical biologists, indeed to anyone with a command of first-year calculus. In course work, it is a collateral text to third semester or advanced physical chemistry, introductory statistical mechanics, statistical thermodynamics, or introductory quantum chemistry. The book connects with mainstream physical chemistry by treating boson and fermion influences in molecular spectroscopy, statistical thermodynamics, molecular energetics, entropy, heat capacities (especially of metals), superconductivity, and superfluidity.

Fundamentals of Classical and Statistical Thermodynamics provides a comprehensive introduction to this pivotal subject. Starting from basics, the book begins with a thorough introduction to the field, providing concise definitions and an overview of thermodynamics and its applications.

The book discusses the fundamentals of classical equilibrium thermodynamics, thermal physics, kinetic theory and statistical mechanics. This comprehensive coverage enables the reader to understand not only the interrelationships between these subjects but also encourages an ability to interpret the thermodynamic quantities and laws in terms of statistical mechanics. Beginning with a detailed discussion of the four laws of thermodynamics the text introduces more advanced topics in later chapters, such as applications of the first and second laws, free energy and chemical equilibria, and equilibrium statististical mechanics and applications.

Uniquely, this text includes a large number of worked examples throughout, with a range of problems at the end of each chapter and their solutions all at the end of the book. The most fundamental concepts of the subject are emphasised throughout and new derivations of many of the standard formulae have been developed to avoid excessive mathematical rigour.

Fundamentals of Classical and Statistical Thermodynamics:

• Provides a comprehensive introduction to the field, covering both classical and statistical thermodynamics.
• Includes numerous worked examples and end of chapter problems with answers provided at the back of the book.
• Covers the essentials of the subject combined with cutting-edge material such as non-linear chemical physics, critical phenomena and transport theory.
• Ensures the necessary mathematics are limited to simple derivatives and integrals.

An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable Heat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how this foundational idea brought about one of the greatest technological advancements of the modern era. Paul Nahin vividly recounts the heat equation's tremendous influence on society, showing how French mathematical physicist Joseph Fourier discovered, derived, and solved the equation in the early nineteenth century. Nahin then follows Scottish physicist William Thomson, whose further analysis of Fourier's explorations led to the pioneering trans-Atlantic telegraph cable. This feat of engineering reduced the time it took to send a message across the ocean from weeks to minutes. Readers also learn that Thomson used Fourier's solutions to calculate the age of the earth, and, in a bit of colorful lore, that writer Charles Dickens relied on the trans-Atlantic cable to save himself from a career-damaging scandal. The book's mathematical and scientific explorations can be easily understood by anyone with a basic knowledge of high school calculus and physics, and MATLAB code is included to aid readers who would like to solve the heat equation themselves. A testament to the intricate links between mathematics and physics, Hot Molecules, Cold Electrons offers a fascinating glimpse into the relationship between a formative equation and one of the most important developments in the history of human communication.

This is a comprehensive guide to the often confusing subject of thermodynamics, for engineers, physicists, and chemists. The succinct entries are arranged alphabetically, allowing the reader to browse through the subject and to pursue a particular point, skipping or ignoring extraneous points. After twenty years of teaching thermodynamics, Professor Perrot knows exactly which areas students find difficult and has taken particular trouble with these points. The entries explain the words and phrases that crop up in thermodynamics without recourse to pages of mathematics and algebra: the main aim being to explain and clarify the jargon and concepts. Professor Perrot achieves this aim while maintaining a refreshing lightness of prose style, in which spirit he also includes some asides on interesting people and events in the history of thermodynamics.

Die moderne Datenverarbeitung verlangt nach immer grosseren Speichermedien und schnelleren Ubertragungsraten. Optische Systeme, wie sie zum Beispiel die CD-Technologie oder die Glasfaser darstellen, bieten in vielen Fallen die leistungsfahigeren und billigeren Losungen. Das vorliegende Buch bietet einen Einstieg in die spannende Technologie der Photonik."

This suberb text is designed to introduce the fundamentals of the subject of statistical mechanics at a level suitable for students who meet the subject for the first time. The treatment given is designed to give the student a feeling for the topic of statistical mechanics without being held back by the need to understand complex mathematics. The text is concise and concentrates on the understanding of fundamental aspects. Numerous questions with worked solutions are given throughout

On its original publication in 1973, this book was the first reference for engineers to fully present the science of boiling and condensation. It dealt especially with the problems of estimating heat transfer rates and pressure drops, with particular attention to the occurrence of boiling and condensation in the presence of forced flows within pipes. The new third edition was written primarily for design and development engineers in the chemical process, power generation, and refrigeration industries, and is meant to be an aid in the design of heat exchangers. It covers recent advances and significantly broadens coverage to flows over tube bundles, with extensive new treatment of two-phase heat transfer regarding refrigerants and petrochemicals. Many new problems have been added at the end of each chapter to enhance the book's use as a text in advanced courses on two-phase flow and heat transfer. Instructors using the book as a course text may obtain full solutions to the end-of-chapter problems by writing to: Science Marketing Dept., Oxford University Press, 198 Madison Avenue, New York, NY 10016 (please include school name and course identification), or by faxing (212) 726-6442.

This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.

It is well known that thermodynamics presents students with particular difficulties. They find the concepts evasive and the methods obscure. These problems arise because it is traditional to emphasize at the outset how general thermodynamics is. Unfortunately, when ideas are introduced in an unspecific context they fail to make contact with the student's experience - such ideas do not become part of the physical intuition of the student.
In this introductory text the subject is developed in stages beginning with the basic notions, which are illustrated using an ideal gas as a model system. The generalization of these concepts is achieved first using the classical laws of thermodynamics and second using the formalism of Gibbs to provide a systematic introduction to the thermodynamic potentials. Work processes on polarizable media subject to electric and magnetic fields are discussed and transformations of matter, including phase change processes and chemical reactions, are treated in detail. The book contains many worked examples, and approximately 250 questions, which are keyed to the text. The questions include traditional and applied topics, and longer questions have been programmed to guide the student.

The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding.

Building up gradually from first principles, this unique introduction to modern thermodynamics integrates classical, statistical and molecular approaches and is especially designed to support students studying chemical and biochemical engineering. In addition to covering traditional problems in engineering thermodynamics in the context of biology and materials chemistry, students are also introduced to the thermodynamics of DNA, proteins, polymers and surfaces. It includes over 80 detailed worked examples, covering a broad range of scenarios such as fuel cell efficiency, DNA/protein binding, semiconductor manufacturing and polymer foaming, emphasizing the practical real-world applications of thermodynamic principles; more than 300 carefully tailored homework problems, designed to stretch and extend students' understanding of key topics, accompanied by an online solution manual for instructors; and all the necessary mathematical background, plus resources summarizing commonly used symbols, useful equations of state, microscopic balances for open systems, and links to useful online tools and datasets.

This book grew out of an introductory course that I was invited to teach on a number of occasions to senior and graduate level students at the University of Kid. I have cherished these opportunities in part because I was never required to conduct examinations or give grades. For the students, however, my good fortune presented special problems that induced my sympathy: in addition to having to contend with a foreign language, they would eventually have to confront an examiner with his own ideas about what they should have learned. Although I always left a copy of my lecture notes with this person, they were too sketchy to be of much use. The present book is an attempt to solve some of these problems. The content is intended to be as broad as possible within the limitations of an introductory one-semester course. It aims at providing an insightful view of present understanding, emphasizing the methods and the history of their development. In particular I have tried to expose the power of intuitive reasoning - the nature of tensor invariants, the usefulness of dimensional analysis, and the relevance of scales of physical quantities in the inference of relationships. I know of no other subject that has benefited more from these important tools, which seem to be widely neglected in the teaching of more fundamental disciplines.

In this essential reference, both students and practitioners in the field will find an accessible discussion of electric power generation with gas turbine power plants, using quantitative and qualitative tools. Beginning with a basic discussion of thermodynamics of gas turbine cycles from a second law perspective, the material goes on to cover with depth an analysis of the translation of the cycle to a final product, facilitating quick estimates. In order to provide readers with the knowledge they need to design turbines effectively, there are explanations of simple and combined cycle design considerations, and state-of-the-art, performance prediction and optimization techniques, as well as rules of thumb for design and off-design performance and operational flexibility, and simplified calculations for myriad design and off-design performance. The text also features an introduction to proper material selection, manufacturing techniques, and construction, maintenance, and operation of gas turbine power plants.

This concise text provides an essential treatment of thermodynamics and a discussion of the basic principles built on an intuitive description of the microscopic behavior of matter. Aimed at a range of courses in mechanical and aerospace engineering, the presentation explains the foundations valid at the macroscopic level in relation to what happens at the microscopic level, relying on intuitive and visual explanations which are presented with engaging cases. With ad hoc, real-word examples related also to current and future renewable energy conversion technologies and two well-known programs used for thermodynamic calculations, FluidProp and StanJan, this text provides students with a rich and engaging learning experience.

This original text develops a deep, conceptual understanding of thermal physics, highlighting the important links between thermodynamics and statistical physics, and examining how thermal physics fits within physics as a whole, from an empirical perspective. The first part of the book is devoted to elementary, mesoscopic topics such as Brownian motion, which leads to intuitive uses of large deviation theory, one of the pillars of modern probability theory. The book then introduces the key concepts behind statistical thermodynamics, and the final part describes more advanced and applied topics from thermal physics such as phase transitions and critical phenomena. This important subject is presented from a fresh perspective and in a highly pedagogical manner, with numerous worked examples and relevant cultural side notes throughout, making it ideal as either a textbook for advanced thermal physics courses or for self-study by undergraduate and graduate students in physics and engineering.

"Principles of Statistical Radiophysics" is a four-volume series that introduces the newcomer to the theory of random functions. It aims at providing the background necessary to understand papers and monographs on the subject and to carry out independant research in fields where fluctuations are of importance, e.g. radiophysics, optics, astronomy, and acoustics. Volume 2, "Correlation Theory of Random Processes," presents the correlation theory of nonstationary processes paying particular attention to periodically nonstationary processes. Physical phenomena like interference, coherence and polarisation of random oscillations, thermal noise in discrete dynamical systems, and the spectral representations of random actions on discrete systems are dealt with.

This book discusses how the increased emanation of radon and other gases from the Earth's crust in the vicinity of active tectonic faults triggers a chain of physical processes and chemical reactions in the atmospheric boundary layer and the Earth's ionosphere over an earthquake area several days/hours before strong seismic shocks occur. It presents the two main concepts involved in this mechanism: atmosphere ionization and the global electric circuit. The Lithosphere-Atmosphere-Ionosphere Coupling (LAIC) concept is strongly supported by experimental data showing the atmospheric and ionospheric precursors for major recent earthquakes including 2004 Sumatra; 2008 Sichuan, China; 2011 Tohoku, Japan; and 2015 Nepal. The book not only addresses the theoretical considerations but also includes information on experimental techniques used for precursor observations based on the space-borne systems. Providing practical methods of precursor identification and interpretation, it is an excellent textbook for graduate courses in geophysics, earthquake science, atmospheric physics and remote sensing. Moreover, it offers a wealth of information for scientists and experts from governmental and international agencies working in the fields of natural-disaster mitigation, response and recovery.

From physics to information theory and cosmology, from the structure of animal societies to the linguistic analysis of human writing, systems consisting of many interacting constituents often show a collective behaviour not predictable from the interaction of the individual constituents. In More than the Sum of the Parts, Helmut Satz addresses different forms of this complex behaviour, which have been thoroughly investigated only in the past decades. Although these studies originate in physics, the behaviour is found to be universal, ranging from the structure of the early universe to the formation of flocks of birds, and to the frequency of words in literary texts. Complexity is thus becoming an increasingly important interdisciplinary field for future scientific research. In a conceptual and non-technical way, Satz opens up this exciting field for a general readership and those studying any field of the natural sciences.

Presenting classical thermodynamics as a concise and discrete whole, "Mere Thermodynamics" is a perfect tool for teaching a notoriously difficult subject.

Accomplished teacher Don S. Lemons introduces the physical theory's concepts and methods and uses them to solve problems from a broad range of physics. He illustrates, at a gentle pace, not only the fundamentals of the subject but also advanced topics such as the relationship between the second law of thermodynamics and entropy. He highlights the intellectual structure and history of the discipline and explores the logical consequences of each of the famous three laws. Lemons explains and develops the first two laws and their corollaries, the methods and applications of thermodynamics, and the third law, as well as non-fluid variables, equilibrium and stability, and two-phase systems.

The book features end-of-chapter practice problems, an appendix of worked problems, a glossary of terms, and an annotated bibliography.

All technologies depend on the availability of suitable materials. The progress of civilisation is often measured by the materials people have used, from the stone age to the silicon age. Engineers exploit the relationships between the structure, properties and manufacturing methods of a material to optimise their design and production for particular applications. Scientists seek to understand and predict those relationships. This short book sets out fundamental concepts that underpin the science of materials and emphasizes their relevance to mainstream chemistry, physics and biology. These include the thermodynamic stability of materials in various environments, quantum behaviour governing all matter, and active matter. Others include defects as the agents of change in crystalline materials, materials at the nanoscale, the emergence of new science at increasing length scales in materials, and man-made materials with properties determined by their structure rather than their chemistry. The book provides a unique insight into the essence of materials science at a level suitable for pre-university students and undergraduates of materials science. It will also be suitable for graduates in other subjects contemplating postgraduate study in materials science. Professional materials scientists will also find it stimulating and occasionally provocative.

The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions.

The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented.

The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.

Statistical mechanics is our tool for deriving the laws that emerge from complex systems. Sethna's text distills the subject to be accessible to those in all realms of science and engineering - avoiding extensive use of quantum mechanics, thermodynamics, and molecular physics. Statistical mechanics explains how bacteria search for food, and how DNA replication is proof-read in biology; optimizes data compression, and explains transitions in complexity in computer science; explains the onset of chaos, and launched random matrix theory in mathematics; addresses extreme events in engineering; and models pandemics and language usage in the social sciences. Sethna's exercises introduce physicists to these triumphs and a hundred others - broadening the horizons of scholars both practicing and nascent. Flipped classrooms and remote learning can now rely on 33 pre-class exercises that test reading comprehension (Emergent vs. fundamental; Weirdness in high dimensions; Aging, entropy and DNA), and 70 in-class activities that illuminate and broaden knowledge (Card shuffling; Human correlations; Crackling noises). Science is awash in information, providing ready access to definitions, explanations, and pedagogy. Sethna's text focuses on the tools we use to create new laws, and on the fascinating simple behavior in complex systems that statistical mechanics explains.

Thermal physics deals with collections of large numbers of particles - typically 10 to the 23rd power or so. Examples include the air in a balloon, the water in a lake, the electrons in a chunk of metal, and the photons given off by the sun. We can't possibly follow every detail of the motions of so many particles. So in thermal physics we assume that these motions are random, and we use the laws of probability to predict how the material as a whole ought to behave. Alternatively, we can measure the bulk properties of a material, and from these infer something about the particles it is made of. This book will give you a working understanding of thermal physics, assuming that you have already studied introductory physics and calculus. You will learn to apply the general laws of energy and entropy to engines, refrigerators, chemical reactions, phase transformations, and mixtures. You will also learn to use basic quantum physics and powerful statistical methods to predict in detail how temperature affects molecular speeds, vibrations of solids, electrical and magnetic behaviors, emission of light, and exotic low-temperature phenomena. The problems and worked examples explore applications not just within physics but also to engineering, chemistry, biology, geology, atmospheric science, astrophysics, cosmology, and everyday life.

This textbook introduces thermodynamics with a modern approach, starting from four fundamental physical facts (the atomic nature of matter, the indistinguishability of atoms and molecules of the same species, the uncertainty principle, and the existence of equilibrium states) and analyzing the behavior of complex systems with the tools of information theory, in particular with Shannon's measure of information (or SMI), which can be defined on any probability distribution. SMI is defined and its properties and time evolution are illustrated, and it is shown that the entropy is a particular type of SMI, i.e. the SMI related to the phase-space distribution for a macroscopic system at equilibrium. The connection to SMI allows the reader to understand what entropy is and why isolated systems follow the Second Law of Thermodynamics. The Second Llaw is also formulated for other systems, not thermally isolated and even open with respect to the transfer of particles. All the fundamental aspects of thermodynamics are derived and illustrated with several examples in the first part of the book. The second part addresses important applications of thermodynamics, covering phase transitions, mixtures and solutions (including the Kirkwood-Buff approach and solvation thermodynamics), chemical equilibrium, and the outstanding properties of water.This textbook is unique in two aspects. First, thermodynamics is introduced with a novel approach, based on information theory applied to macroscopic systems at equilibrium. It is shown that entropy is a particular case of Shannon's measure of information (SMI), and the properties and time evolution of the SMI are used to explain the Second Law of Thermodynamics. This represents a real breakthrough, as classical thermodynamics cannot explain entropy, nor clarify why systems should obey the Second Law. Second, this textbook offers the reader the possibility to get in touch with important and advanced applications of thermodynamics, to address the topics discussed in the second part of the book. Although they may go beyond the content of a typical introductory course on thermodynamics, some of them can be important in the curriculum chosen by the student. At the same time, they are of appealing interest to more advanced scholars.

Die Thermodynamik ist als Grundlagendisziplin essentiell fur das Verstandnis von Energie- und Verfahrenstechnik oder auch der Chemie. Gleichzeitig wird das Verstandnis der Thermodynamik oft dadurch erschwert, dass sie durch eine komplexe Mathematik beschrieben wird. Um den Einstieg in die Thermodynamik leichter zu gestalten erklart dieses Buch die Grundlagen der Thermodynamik ohne mathematische Gleichungen. Gezeigt wird unter anderem, wie Thermodynamik das Schnapsbrennen, die Kiemen von Fischen oder die Effizienz von Solarmodulen beeinflusst.