Statistical physics Books
Oxford University Press Concepts in Thermal Physics
Book SynopsisAn understanding of thermal physics is crucial to much of modern physics, chemistry and engineering. This book provides a modern introduction to the main principles that are foundational to thermal physics, thermodynamics and statistical mechanics. The key concepts are carefully presented in a clear way, and new ideas are illustrated with copious worked examples as well as a description of the historical background to their discovery. Applications are presented to subjects as diverse as stellar astrophysics, information and communication theory, condensed matter physics and climate change. Each chapter concludes with detailed exercises.The second edition of this popular textbook maintains the structure and lively style of the first edition but extends its coverage of thermodynamics and statistical mechanics to include several new topics, including osmosis, diffusion problems, Bayes theorem, radiative transfer, the Ising model and Monte Carlo methods. New examples and exercises have been added throughout.Trade ReviewThis is probably the best book I know of thermodynamics and statistical physics. The authors have done really a great job. [...] The contents of the book are organised in such way that it can be used for a standard undergraduate level course in thermodynamics and statistical mechanics, where it is also possible to make the appropriate selection of the topics depending on the level and duration of the course. It could also be very useful as a source reference for lecturers in thermodynamics and statistical physics. * M.A.F. Sanjuan, Contemporary Physics *Table of ContentsI: PRELIMINARIES; II: KINETIC THEORY OF GASES; III: TRANSPORT AND THERMAL DIFFUSION; IV: THE FIRST LAW; V: THE SECOND LAW; VI: THERMODYNAMICS IN ACTION; VII: STATISTICAL MECHANICS; VIII: BEYOND THE IDEAL GAS; IX: SPECIAL TOPICS
£37.52
Oxford University Press Networks
Book SynopsisThe study of networks, including computer networks, social networks, and biological networks, has attracted enormous interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on an unprecedented scale, and the development of new theoretical tools has allowed us to extract knowledge from networks of many different kinds. The study of networks is broadly interdisciplinary and central developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas.Topics covered include the measurement of networks; methods for analyzing network data, including methods developed in physics, statistics, and sociology; fundamentals of graph theory; computer algorithms; mathematical models of networks, including random graph models and generative models; and theories of dynamical processes taking place on networks.Trade ReviewThis is the definitive book on networks, friendly enough for anyone to read and serious enough for researchers to find their way. [Newman] is one of the founders and leaders of the field and has updated the book with cutting-edge topics. * Professor Cris Moore, Santa Fe Institute *This is the definitive book on network science, by one of its most brilliant researchers and graceful expositors. The second edition of Mark Newman's Networks is clear, comprehensive, and fascinating. * Steven Strogatz, Department of Mathematics, Cornell University, USA *This is an excellent textbook by one of the preeminent scholars in the study of networks. I draw heavily from it when teaching my undergraduate course on networks, and I am very pleased to see a new edition of the book. Newman's clear exposition shines through in this textbook. * Mason Porter, Department of Mathematics, UCLA, USA *An extraordinarily comprehensive and clear exposition of network science from one of the giants in the field. Newman succeeds in making accessible to a broad readership even the most technical content. * Santo Fortunato, School of Informatics and Computing, Indiana University *Reviews from previous edition:Networks accomplishes two key goals: It provides a comprehensive introduction and presents the theoretic backbone of network science. [] The book is balanced in its presentation of theoretical concepts, computational techniques, and algorithms. The level of difficulty increases which each chapter [which] makes the book particularly valuable to physics students who wish to acquire a solid foundation based on their knowledge of basic linear algebra, calculus, and differential equations. * Physics Today *Newman has written a wonderful book that gives an extensive overview of the broadly interdisciplinary network-related developments that have occured in many fields, including mathematics, physics, computer science, biology, and the social sciences ... Overall, a valuable resource covering a wide-randing field. * Choice *Likely to become the standard introductory textbook for the study of networks [...] Overall, this is an excellent textbook for the growing field of networks. It is cleverly written and suitable as both an introduction for undergraduate students (particularly Parts 1 to 3) and as a roadmap for graduate students. [...] Being highly self-contained, computer scientists and professionals from other fields can also use the book - in fact, the author himself is a physicist. In short, this book is a delight for the inquisitive mind. * Computing Reviews *This book brings together, for the first time, the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong connections between work in different subject areas. * CERN Courier *Table of Contents1: Introduction Part I: The empirical study of networks 2: Technological networks 3: Networks of information 4: Social networks 5: Biological networks Part II: Fundamentals of network theory 6: Mathematics of networks 7: Measures and metrics 8: Computer algorithms 9: Network statistics and measurement error 10: The structure of real-world networks Part III: Network models 11: Random graphs 12: The configuration model 13: Models of network formation Part IV: Applications 14: Community structure 15: Percolation and network resilience 16: Epidemics on networks 17: Dynamical systems on networks 18: Network search
£65.55
Oxford University Press An Introduction to Thermal Physics
Book SynopsisThermal 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 teTrade ReviewI am a great admirer of Schroeder's book. While writing a graduate textbook in the subject, I studied many books in statistical mechanics, at various levels of sophistication. Of these, Schroeder's text stood out. Indeed, it was the only one I envied -- his sense of fun, his vivid explanations, and his deep insights into conceptual issues. * James P. Sethna, Cornell University, author of 'Statistical Mechanics: Entropy, Order Parameters, and Complexity', Second Edition, OUP 2021 *Table of ContentsPreface Part I: Fundamentals 1: Energy in Thermal Physics 2: The Second Law 3: Interactions and Implications Part II: Thermodynamics 4: Engines and Refrigerators 5: Free Energy and Chemical Thermodynamics Part III: Statistical Mechanics 6: Boltzmann Statistics 7: Quantum Statistics 8: Systems of Interacting Particles Appendix A: Elements of Quantum Mechanics Appendix B: Mathematical Results Suggested Reading Reference Data Index
£37.52
Princeton University Press Stochastic Thermodynamics
Book Synopsis
£63.00
Oxford University Press Introductory Statistical Mechanics
Book SynopsisThis book explains the ideas and techniques of statistical mechanics-the theory of condensed matter-in a simple and progressive way. The text starts with the laws of thermodynamics and simple ideas of quantum mechanics. The conceptual ideas underlying the subject are explained carefully; the mathematical ideas are developed in parallel to give a coherent overall view. The text is illustrated with examples not just from solid state physics, but also from recent theories of radiation from black holes and recent data on the background radiation from the Cosmic background explorer. In this second edition, slightly more advanced material on statistical mechanics is introduced, material which students should meet in an undergraduate course. As a result the new edition contains three more chapters on phase transitions at an appropriate level for an undergraduate student. There are plenty of problems at the end of each chapter, and brief model answers are provided for odd-numbered problems. From reviews of the first edition: ''...Introductory Statistical Mechanics is clear and crisp and takes advantage of the best parts of the many approaches to the subject'' Physics Today
£50.34
Oxford University Press The Nature of Computation
Book SynopsisComputational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.Trade ReviewA creative, insightful, and accessible introduction to the theory of computing, written with a keen eye toward the frontiers of the field and a vivid enthusiasm for the subject matter. * Jon Kleinberg, Cornell University *To put it bluntly: this book rocks! It's 900+ pages of awesome. It somehow manages to combine the fun of a popular book with the intellectual heft of a textbook, so much so that I don't know what to call it (but whatever the genre is, there needs to be more of it!). * Scott Aaronson, Massachusetts Institute of Technology *Moore and Mertens guide the reader through the interesting field of computational complexity in a clear, broadly accessible and informal manner, while systematically explaining the main concepts and approaches in this area and the existing links to other disciplines. The book is comprehensive and can be easily used as a textbook, at both advanced undergraduate and postgraduate levels, but is equally useful for researchers in neighbouring disciplines, such as statistical physics [...]. Some of the material covered, such as approximability issues and Probabilistically Checkable Proofs is typically not presented in books of this type, and the authors do an excellent job in presenting them very clearly and convincingly. * David Saad, Aston University, Birmingham *A treasure trove of ideas, concepts and information on algorithms and complexity theory. Serious material presented in the most delightful manner! * Vijay Vazirani, Georgia Instituute of Technology *In a class by itself - in The Nature of Computation, Cristopher Moore and Stephan Mertens have produced one of the most successful attempts to capture the broad scope and intellectual depth of theoretical computer science as it is practiced today. The Nature of Computation is one of those books you can open to a random page and find something amazing, surprising and, often, very funny. * American Scientist *a comprehensive, accessible, and highly enjoyable book that conveys the key intellectual contributions of the theory of computing ... a valuable resource for any educator * Haris Aziz, SIGACT *The book is highly recommended for all interested readers: in or out of courses, students undergraduate or graduate, researchers in other fields eager to learn the subject, or scholars already in the field who wish to enrich their current understanding. It makes for a great textbook in a conventional theory of computing course, as I can testify from recent personal experience (I used it once; Ill use it again!). With its broad and deep wealth of information, it would be a top contender for one of my desert island books.TNoC speaks directly, clearly, convincingly, and entetainingly, but also goes much further: it inspires. * Frederic Green, SIGACT *Table of Contents1. Prologue ; 2. The Basics ; 3. Insights and Algorithms ; 4. Needles in a Haystack: The class NP ; 5. Who is the Hardest One of All: NP-Completeness ; 6. The Deep Question: P vs. NP ; 7. Memory, Paths and games ; 8. Grand Unified Theory of Computation ; 9. Simply the Best: Optimization ; 10. The Power of Randomness ; 11. Random Walks and Rapid Mixing ; 12. Counting, Sampling, and Statistical Physics ; 13. When Formulas Freeze: Phase Transitions in Computation ; 14. Quantum Computing ; 15. Epilogue ; 16. Appendix: Mathematical Tools
£77.90
Taylor & Francis Inc Statistical Mechanics
Book SynopsisThis classic graduate lecture note volume on statistical mechanics focuses on Physics, rather than mathematics. It provides a concise introduction to basic concepts and a clear presentation of difficult topics, while challenging the student to reflect upon as yet unanswered questions.Table of ContentsFront Matter -- INTRODUCTION TO STATISTICAL MECHANICS -- DENSITY MATRICES -- PATH INTEGRALS -- CLASSICAL SYSTEM OF N PARTICLES -- ORDER-DISORDER THEORY -- CREATION AND ANNIHILATION OPERATORS -- SPIN WAVES -- POLARON PROBLEM -- ELECTRON GAS IN A METAL -- SUPERCONDUCTIVITY -- SUPERFLUIDITY
£51.99
World Scientific Publishing Co Pte Ltd Statistical Foundations Of Entropy, The
This book presents an innovative unified approach to the statistical foundations of entropy and the fundamentals of equilibrium statistical mechanics. These intimately related subjects are often developed in a fragmented historical manner which obscures the essential simplicity of their logical structure. In contrast, this book critically reassesses and systematically reorganizes the basic concepts into a simpler sequential framework which reveals more clearly their logical relationships. The inherent indistinguishability of identical particles is emphasized, and the resulting unification of classical and quantum statistics is discussed in detail.The discussion is focused entirely on fundamental concepts, so applications are omitted. The book is written at the advanced undergraduate or beginning graduate level, and will be useful as a concise supplement to conventional books and courses in statistical mechanics, thermal physics, and thermodynamics. It is also suitable for self-study by those seeking a deeper and more detailed analysis of the fundamentals.
£63.00
Oxford University Press Introduction to Statistical Mechanics and
Book SynopsisAn Introduction to Statistical Mechanics and Thermodynamics returns with a second edition which includes new chapters, further explorations, and updated information into the study of statistical mechanics and thermal dynamics.The first part of the book derives the entropy of the classical ideal gas, using only classical statistical mechanics and an analysis of multiple systems first suggested by Boltzmann. The properties of the entropy are then expressed as postulates of thermodynamics in the second part of the book. From these postulates, the formal structure of thermodynamics is developed. The third part of the book introduces the canonical and grand canonical ensembles, which are shown to facilitate calculations for many model systems. An explanation of irreversible phenomena that is consistent with time-reversal invariance in a closed system is presented. The fourth part of the book is devoted to quantum statistical mechanics, including black-body radiation, the harmonic solid, Bose-Einstein and Fermi-Dirac statistics, and an introduction to band theory, including metals, insulators, and semiconductors. The final chapter gives a brief introduction to the theory of phase transitions. Throughout the book, there is a strong emphasis on computational methods to make abstract concepts more concrete.Trade ReviewReview from previous edition In his innovative new text, Carnegie Mellon University physics professor Robert Swendsen presents the foundations of statistical mechanics with, as he puts it, a detour through thermodynamics. That's a desirable strategy because the statistical approach is more fundamental than the classical thermodynamics approach and has many applications to current research problems. [] The mathematical notation is carefully introduced and useful; the selected mathematical techniques are clearly explained in a conversational style that both graduate and advanced undergraduate students will find easy to follow. The author's subject organization and conceptual viewpoint address some of the shortcomings of conventional developments of thermal physics and will be helpful to students and researchers seeking a deep appreciation of statistical physics. * Physics Today, August 2013 *Bob Swendsen's book is very well thought out, educationally sound, and more original than other texts. * Jan Tobochnik, Kalamazoo College, USA *Robert Swendsen is a well-respected researcher who has developed many novel algorithms that illustrate his deep understanding of statistical mechanics. His textbook reflects his deep understanding and will likely have a major impact on the way statistical mechanics and thermodynamics is taught. Particularly noteworthy is Swendsen's treatment of entropy, following Boltzmann's original definition in terms of probability, and his comprehensive discussion of the fundamental principles and applications of statistical mechanics and thermodynamics. Students and instructors will enjoy reading the book as much as Swendsen obviously enjoyed writing it. * Harvey Gould, Clark University, USA *In this reader-friendly, excellent text, the author provides a unique combination of the best of two worlds: traditional thermodynamics (following Callen's footsteps) and modern statistical mechanics (including VPython codes for simulations). * Royce Zia, Virginia Polytechnic Institute and State University, USA *Swendsen is famous for developing Monte Carlo algorithms which dramatically speed up the simulation of many systems near a phase transition. The ideas for those algorithms required deep understanding of statistical mechanics, an understanding which is now fully applied to this excellent textbook. * Peter Young, University of California, USA *Table of ContentsPreface Introduction1: Part 1 Entropy 2: The Classical Ideal Gas 3: Discrete Probability Theory 4: The Classical Ideal Gas: Configurational Entropy 5: Continuous Random Numbers 6: The Classical Ideal Gas: Energy-Dependence of Entropy 7: Classical Gasses: Ideal and Otherwise 8: Temperature Pressure, Chemical Potential, and All That Part 2 Thermodynamics 9: The Postulates and Laws of Thermodynamics 10: Perturbations of Thermodynamic State Functions 11: Thermodynamics Processes 12: Thermodynamic Potentials 13: The Consequences of Extensivity 14: Thermodynamic Identities 15: Extremum Principles 16: Stability Conditions 17: Phase Transitions 18: The Nernst Postulate: the Third Law of Thermodynamics Part 3 Classical Statistical Mechanics 19: Ensembles in Classical Statistical Mechanics 20: Classical Ensembles: Grand and Otherwise 21: Refining the Definition of Entropy 22: Irreversibility Part 4 Quantum Statistical Mechanics 23: Quantum Ensembles 24: Quantum Canonical Ensemble 25: Black-Body Radiation 26: The Harmonic Solid 27: Ideal Quantum Gases 28: Bose-Einstein Statistics 29: Fermi-Dirac Statistics 30: Insulators and Semiconductors 31: Phase Transitions and the Ising Model Appendix Appendix: Computer Calculations and VPython Index Index Free
£72.20
Princeton University Press Statistical Physics
Book SynopsisTrade Review"Kip S. Thorne, Co-Winner of the 2017 Nobel Prize in Physics""Roger D. Blandford, Co-Winner of the 2016 Crafoord Prize in Astronomy and Winner of the 2020 Shaw Prize in Astronomy"
£45.00
Oxford University Press Sailing the Ocean of Complexity Lessons from the
Book SynopsisThe book provides a non-specialist introduction to the reasons why we can make sense of the world around and within us, facing the oceans of complexity which inhabit both. The book provides a scientific and easily accessible description of some of the key physical mechanisms by which the wonderful gift of life materializes in the natural world.Trade ReviewThis book gives a nontechnical survey of complex systems, strongly emphasizing the connection of fundamental physics to biology. Starting with a very nice foundational discussion, the Succi goes on to look at the connection developed by Boltzmann between microscopic physics and macroscopic biology...the thoughtful reader will be rewarded. * Choice *This is an interesting exploration of how the complex macroscopic world is derivable from microscopic physics, and how the non-linearity of complex systems leads to issues of predictability and at the same time accounts for physical structures. The author gives personal comments on his own appreciation of the physics throughout the book, as well as a thought-provoking conclusion suggesting that our experience of time is a consequence of the emergence of complexity. * E. Kincanon, Gonzaga University, CHOICE connect *Complexity is between the two infinities "very big" and "very small" - always a fascinating subject. The author explains things in a very easy-going way, and adds some entertaining stories and thoughts which make it entertaining to read. * Christian Beck, Queen Mary University of London *Complexity science is of critical importance in the modern world, but not on the radar screen of the average reader. This book, designed for the general public, is intended to fix that problem in a very enjoyable and entertaining style. * Bruce Boghosian, Tufts University *A fresh and competent view on a very interesting scientific topic. * Guido Caldarelli, School IMT Alti Studi Lucca *Sauro Succi's new book is both superb and essential. Succi, with clarity and wit, takes us from quarks and Boltzmann to soft matter - precisely the frontier of physics and life. Someone said, “There is no truth beyond magic”. Succi shows us the magic at the edge of life. * Stuart Kauffman, MacArthur Fellow, Fellow of the Royal Society of Canada, Gold Medal Accademia Lincea *Table of ContentsPreface Part 1: COMPLEXITY 1: Introducing Complexity 2: The Guiding Barriers 3: Competition and Cooperation 4: Nonlinearity, The Mother of Complexity 5: The Dark Side of Nonlinearity 6: The Bright Side of Nonlinearity 7: Networks, The Fabric of Complexity Part 2: THE SCIENCE OF CHANGE 8: Good Old Thermodynamics 9: The Man Who Trusted Atoms 10: Biological Escapes 11: Cosmological Escapes 12: Free Energy Part 3: THE PHYSICS-BIOLOGY INTERFACE 13: Survival in Molecular Hyperland, the Ozland Valleys 14: Free Energy Funnels 15: Soft Matter, The Stu that Dreams Are Made Of 16: Water, the Wonderuid Part 4: COMPLEXITY AND THE HUMAN CONDITION 17: Time and the Complexity of the Human Condition 18: Harness the Hybris: Hallelujah! 19: Appendices Epilogue Acknowledgements References
£29.49
Cambridge University Press Statistical Physics of Particles
Book SynopsisBased on lectures for a statistical mechanics course, this textbook introduces the central concepts and tools of statistical physics including solutions that are available to lecturers at www.cambridge.org/9780521873420. A companion volume, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.Trade Review'In this much-needed modern text, Kardar presents a remarkably clear view of statistical mechanics as a whole, revealing the relationships between different parts of this diverse subject. In two volumes, the classical beginnings of thermodynamics are connected smoothly to a thoroughly modern view of fluctuation effects, stochastic dynamics, and renormalization and scaling theory. Students will appreciate the precision and clarity in which difficult concepts are presented in generality and by example. I particularly like the wealth of interesting and instructive problems inspired by diverse phenomena throughout physics (and beyond!), which illustrate the power and broad applicability of statistical mechanics.' Leon Balents, University of California, Santa Barbara'Statistical Physics of Particles is the welcome result of an innovative and popular graduate course Kardar has been teaching at MIT for almost twenty years. It is a masterful account of the essentials of a subject which played a vital role in the development of twentieth century physics, not only surviving, but enriching the development of quantum mechanics. Its importance to science in the future can only increase with the rise of subjects such as quantitative biology. Statistical Physics of Fields builds on the foundation laid by the Statistical Physics of Particles, with an account of the revolutionary developments of the past 35 years, many of which were facilitated by renormalization group ideas. Much of the subject matter is inspired by problems in condensed matter physics, with a number of pioneering contributions originally due to Kardar himself. This lucid exposition should be of particular interest to theorists with backgrounds in field theory and statistical mechanics.' David R. Nelson, Harvard University'If Landau and Lifshitz were to prepare a new edition of their classic Statistical Physics text they might produce a book not unlike this gem by Mehran Kardar. Indeed, Kardar is an extremely rare scientist, being both brilliant in formalism and an astoundingly careful and thorough teacher. He demonstrates both aspects of his range of talents in this pair of books, which belong on the bookshelf of every serious student of theoretical statistical physics. Kardar does a particularly thorough job of explaining the subtleties of theoretical topics too new to have been included even in Landau and Lifshitz most recent Third Edition (1980), such as directed paths in random media and the dynamics of growing surfaces, which are not in any text to my knowledge. He also provides careful discussion of topics that do appear in most modern texts on theoretical statistical physics, such as scaling and renormalization group.' H. Eugene Stanley, Boston University'This is one of the most valuable textbook I have seen in a long time. Written by a leader in the field, it provides a crystal clear, elegant and comprehensive coverage of the field of statistical physics. I'm sure this book will become 'the' reference for the next generation of researchers, students and practitioners in statistical physics. I wish I had this book when I was a student but I will have the privilege to rely on it for my teaching.' Alessandro Vespignani, Indiana UniversityTable of Contents1. Thermodynamics; 2. Probability; 3. Kinetic theory of gases; 4. Classical statistical mechanics; 5. Interacting particles; 6. Quantum statistical mechanics; 7. Ideal quantum gases; Solutions to selected problems; Index.
£54.99
Taylor & Francis Ltd Statistical Models for Nuclear Decay From
Book SynopsisStatistical Models for Nuclear Decay: From Evaporation to Vaporization describes statistical models that are applied to the decay of atomic nuclei, emphasizing highly excited nuclei usually produced using heavy ion collisions. The first two chapters present essential introductions to statistical mechanics and nuclear physics, followed by a description of the historical developments, beginning with the application of the Bohr hypothesis by Weisskopf in 1937. This chapter covers fusion, fission, and the Hauser-Festbach theory. The next chapter applies the Hauser-Festbach theory using Monte Carlo methods and presents important experimental results. Subsequent chapters discuss nuclear decay at high excitation energies, including the theories and experimental results for sequential binary division, multifragmentation, and vaporization. The final chapter provides a short summary and discusses possible paths for further research.Table of ContentsElements of equilibrium statistical mechanics. Nuclear physics background. History of statistical models of nuclear decay processes. Single and multistep evaporation calculations. Multidetectors, sequential binary decay and the characterization of multi-fragment decay processes. Statistical models for multifragmentation. Percolation, caloric curves and vaporization. From evaporation to vaporization.
£237.50
CRC Press Inc Kinetics of Phase Transitions
Book SynopsisProviding a comprehensive introduction with the necessary background material to make it accessible for a wide scientific audience, Kinetics of Phase Transitions discusses developments in domain-growth kinetics. This book combines pedagogical chapters from leading experts in this area and focuses on incorporating various experimentally relevant effectssuch as disorder, strain fields, and wetting surfacesinto studies of phase ordering dynamics. In addition, it highlights topics garnering recent interest, such as the growth of nanostructures on surfaces. This book also provides a comprehensive overview of numerical techniques, which have proven useful in studying these complex nonlinear problems.Table of ContentsIntroduction to Basic Concepts. Kinetics of Phase Transitions in Solids. Kinetics of Phase Transitions in Fluids. Incorporation of Experimentally Relevant Effects. Novel Directions in the Kinetics of Phase Transitions.
£171.00
Cambridge University Press The Theory and Applications of Instanton Calculations
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£85.50
Cambridge University Press Statistical Mechanics for Physicists and
Book Synopsis
£56.99
Cambridge University Press Quantum Field Theory and the Standard Model
Book SynopsisProviding a modern introduction to quantum field theory, this comprehensive textbook develops the Standard Model of particle physics and explains state-of-the-art techniques for performing precision theoretical calculations. Intuitive physical discussions of abstract concepts make the subject accessible to students with a variety of backgrounds and interests.Trade Review'This is an excellent graduate-level relativistic quantum field theory text, covering an impressive amount of material often with a very novel presentation. It would be ideal either for courses on relativistic quantum field theory or for courses on the Standard Model of elementary particle interactions. The book provides interesting insights and covers many modern topics not usually presented in current texts such as spinor-helicity methods and on-shell recursion relations, heavy quark effective theory and soft-collinear effective field theory. It is nice to see the modern point of view on the predictive power of non-renormalizable theories discussed. Once in a generation particle physicists elevate a quantum field theory text to the rank of classic. Two such classics are the texts by Bjorken and Drell and Peskin and Schroeder; it wouldn't surprise me if this new book by Schwartz joins this illustrious group.' Mark Wise, California Institute of Technology'A wonderful tour of quantum field theory from the modern perspective, filled with insights on both the conceptual underpinnings and the concrete, elegant calculational tools of the subject.' Nima Arkani-Hamed, Institute for Advanced Study, Princeton'Schwartz has produced a new and valuable introduction to quantum field theory. He has rethought the whole presentation of the subject, from the introductory and foundational concepts to new developments such as effective field theory descriptions of quark dynamics. Students will enjoy viewing quantum field theory from his perspective.' Michael E. Peskin, SLAC National Accelerator Laboratory, Stanford University'Schwartz's book grew out of a popular year long course in quantum field theory at Harvard. Designed primarily for graduate students, this course also attracts and inspires a number of undergraduates each year. The book is unique in its combination of breadth, depth and readability. Schwartz starts at the beginning of the subject and brings us right up to the present. That the book is neither superficial nor impossibly dense is rather remarkable and makes it easy to understand the course's success.' Howard Georgi, Harvard University'In this book, Schwartz gives a thoughtful and modern treatment of many classical and contemporary topics. Students and experienced researchers will find much here of value.' Edward Witten, Institute for Advanced Study, Princeton'Every single one of these pages is packed with information. … this book grew out of lectures Schwartz has given to graduate students at Harvard, and it becomes very clear that he is well aware of possible pitfalls and problems of understanding that students may have. … The first part of the book should be accessible for beginning graduate students who have mastered quantum mechanics, special relativity and electrodynamics. The second part of the book will also be useful for advanced students and researchers who want to learn how to perform calculations in the standard model. … Schwartz has done a great job in presenting his view on this complex matter, and I wish this book had already existed when I learned the subject! I recommend it to anyone dedicated to learning quantum field theory and the physics of the standard model.' Thomas Peters, Contemporary PhysicsTable of ContentsPart I. Field Theory: 1. Microscopic theory of radiation; 2. Lorentz invariance and second quantization; 3. Classical Field Theory; 4. Old-fashioned perturbation theory; 5. Cross sections and decay rates; 6. The S-matrix and time-ordered products; 7. Feynman rules; Part II. Quantum Electrodynamics: 8. Spin 1 and gauge invariance; 9. Scalar QED; 10. Spinors; 11. Spinor solutions and CPT; 12. Spin and statistics; 13. Quantum electrodynamics; 14. Path integrals; Part III. Renormalization: 15. The Casimir effect; 16. Vacuum polarization; 17. The anomalous magnetic moment; 18. Mass renormalization; 19. Renormalized perturbation theory; 20. Infrared divergences; 21. Renormalizability; 22. Non-renormalizable theories; 23. The renormalization group; 24. Implications of Unitarity; Part IV. The Standard Model: 25. Yang–Mills theory; 26. Quantum Yang-Mills theory; 27. Gluon scattering and the spinor-helicity formalism; 28. Spontaneous symmetry breaking; 29. Weak interactions; 30. Anomalies; 31. Precision tests of the standard model; 32. QCD and the parton model; Part V. Advanced Topics: 33. Effective actions and Schwinger proper time; 34. Background fields; 35. Heavy-quark physics; 36. Jets and effective field theory; Appendices; References; Index.
£64.59
Cambridge University Press Machine Learning with Neural Networks
Book SynopsisThis modern and self-contained book offers a clear and accessible introduction to the important topic of machine learning with neural networks. In addition to describing the mathematical principles of the topic, and its historical evolution, strong connections are drawn with underlying methods from statistical physics and current applications within science and engineering. Closely based around a well-established undergraduate course, this pedagogical text provides a solid understanding of the key aspects of modern machine learning with artificial neural networks, for students in physics, mathematics, and engineering. Numerous exercises expand and reinforce key concepts within the book and allow students to hone their programming skills. Frequent references to current research develop a detailed perspective on the state-of-the-art in machine learning research.Table of ContentsAcknowledgements. 1. Introduction. Part I. Hopfield Networks: 2. Deterministic Hopfield networks; 3. Stochastic Hopfield networks; 4. The Boltzmann distribution. Part II. Supervised Learning: 5. Perceptrons; 6. Stochastic gradient descent; 7. Deep learning; 8. Convolutional networks; 9. Supervised recurrent networks. Part III. Learning Without Labels: 10. Unsupervised learning; 11. Reinforcement learning. Bibliography. Author Index. Index.
£39.99
Cambridge University Press Modularity and Dynamics on Complex Networks
Book SynopsisComplex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.Table of Contents1. Introduction; 2. Background Material; 3. Modularity, community detection and clustering in networks; 4. Time scale separation and dynamics on modular networks; 5. Symmetries and dynamics on modular networks; 6. Dynamical methods for assortative communities; 7. Dynamical methods for disassortative communities and general block structures; 8. Perspectives; References.
£17.00
Springer Nature Switzerland AG A Random Walk in Physics: Beyond Black Holes and
Book SynopsisThis book offers an informal, easy-to-understand account of topics in modern physics and mathematics. The focus is, in particular, on statistical mechanics, soft matter, probability, chaos, complexity, and models, as well as their interplay. The book features 28 key entries and it is carefully structured so as to allow readers to pursue different paths that reflect their interests and priorities, thereby avoiding an excessively systematic presentation that might stifle interest. While the majority of the entries concern specific topics and arguments, some relate to important protagonists of science, highlighting and explaining their contributions. Advanced mathematics is avoided, and formulas are introduced in only a few cases. The book is a user-friendly tool that nevertheless avoids scientific compromise. It is of interest to all who seek a better grasp of the world that surrounds us and of the ideas that have changed our perceptions.Trade Review“Each topic is discussed in a brief chapter, at a technical level that could be followed by first-year students of physics and mathematics, but also by wider parts of the public. Each chapter contains a statement of the topic, a brief history, and describes a number of examples … . The book makes a pleasant reading, full of wit and of surprising turns. I think that it can be useful to the general reader … motivate students … .” (Luca Peliti, Journal of Statistical Physics, Vol. 185, 2021)Table of ContentsChapter 1 - Introduction.- Chapter 2 - Atoms, Irreversibility, Probability, Statistical Mechanics, Entropy.- Chapter 3 - Probability, Entropy, Chaos.- Chapter 4 - Chaos, Prediction.- Chapter 5 - Prediction, Turbulence, Models.- Chapter 6 - Models, Richardson.- Chapter 7 - Boltzmann, Statistical Mechanics, Brownian Motion.- Chapter 8 - Boltzmann, Atoms, Statistical Mechanics, Mesoscale Systems.- Chapter 9 - Prediction: Chaos, Poincaré, Richardson, Models, Big data.- Chapter 10 - Statistical Mechanics: Atoms, Boltzmann, Maxwell.
£26.99
Springer Nature Switzerland AG Modern Physics: Introduction to Statistical
Book SynopsisThis book offers an introduction to statistical mechanics, special relativity, and quantum physics. It is based on the lecture notes prepared for the one-semester course of "Quantum Physics" belonging to the Bachelor of Science in Material Sciences at the University of Padova.The first chapter briefly reviews the ideas of classical statistical mechanics introduced by James Clerk Maxwell, Ludwig Boltzmann, Willard Gibbs, and others. The second chapter is devoted to the special relativity of Albert Einstein. In the third chapter, it is historically analyzed the quantization of light due to Max Planck and Albert Einstein, while the fourth chapter discusses the Niels Bohr quantization of the energy levels and the electromagnetic transitions. The fifth chapter investigates the Schrodinger equation, which was obtained by Erwin Schrodinger from the idea of Louis De Broglie to associate to each particle a quantum wavelength. Chapter Six describes the basic axioms of quantum mechanics, which were formulated in the seminal books of Paul Dirac and John von Neumann. In chapter seven, there are several important application of quantum mechanics: the quantum particle in a box, the quantum particle in the harmonic potential, the quantum tunneling, the stationary perturbation theory, and the time-dependent perturbation theory. Chapter Eight is devoted to the study of quantum atomic physics with special emphasis on the spin of the electron, which needs the Dirac equation for a rigorous theoretical justification. In the ninth chapter, it is explained the quantum mechanics of many identical particles at zero temperature, while in Chapter Ten the discussion is extended to many quantum particles at finite temperature by introducing and using the quantum statistical mechanics. The four appendices on Dirac delta function, complex numbers, Fourier transform, and differential equations are a useful mathematical aid for the reader.Table of ContentsTable of Contents1 Classical Statistical Mechanics1.1 Kinetic Theory of Gases 1.1.1 Maxwell Distribution of Velocities1.1.2 Maxwell-Boltzmann Distribution of Energies 1.1.3 Single-Particle Density of States 1.2 Statistical Ensembles of Gibbs 1.2.1 Microcanonical Ensemble 1.2.2 Canonical Ensemble 1.2.3 Grand Canonical Ensemble 1.2.4 Many-Particle Density of States 2 Special Relativity 2.1 Lorentz Transformations 2.2 Einstein Postulates 2.2.1 Gedanken Experiment of Einstein 2.3 Relativistic Mechanics 2.3.1 Relativistic Kinematics 2.3.2 Relativistic Dynamics 3 Quantum Properties of Light 3.1 Black-Body Radiation 3.1.1 Ideal Black Body 3.1.2 Derivation of the Planck Law 3.2 Photoelectric E ect 3.2.1 Experimental Data 3.2.2 Theoretical Explanation 3.3 Energy and Linear Momentum of a Photon 3.4 Compton E ect 3.4.1 Theoretical Explanation 4 Quantum Energy Levels of Atoms 4.1 Energy Spectra 4.1.1 Energy Spectrum of Hydrogen Atom 4.2 Hydrogen Atom of Bohr4.2.1 Derivation of the Bohr Results 4.3 Energy Levels and Photons 4.4 Electromagnetic Transitions 5 Wave Properties of Matter 5.1 De Broglie Wavelength 5.1.1 Explaining the Bohr Quantization 5.2 Experiment of Davisson and Germer 5.3 Double-Slit Experiment with Light5.4 Double-Slit Experiment with Electrons 5.5 Old Quantum Mechanics of Bohr, Wilson and Sommerfeld5.6 Matrix Quantum Mechanics of Heisenberg, Born and Jordan 5.7 Wave Quantum Mechanics of Schrodinger 5.7.1 Derivation of the Schr odinger Equation 5.8 Formal Quantization Rules5.8.1 Schrodinger Equation for a Free Particle 5.8.2 Schrodinger Equation for a Particle in an External Potential 5.9 Stationary Schr odinger Equation6 Axioms of Quantum Mechanics 6.1 Matrix Mechanics 6.2 Axioms of Quantum Mechanics7 Applications of Quantum Mechanics 7.1 Quantum Particle in a One-Dimensional Box Potential7.2 Quantum Particle in a One-Dimensional Harmonic Potential8 Quantum Physics of Atoms 8.1 Quantum Particle in a Separable Potential 8.1.1 Quantum Particle in the Harmonic Potential 8.2 Dirac Notation for a Quantum State8.3 Electron in the Hydrogen Atom 8.3.1 Schrodinger Equation in Spherical Polar Coordinates 8.3.2 Selection Rules 8.4 Pauli Exclusion Principle and the Spin8.5 Semi-Integer and Integer Spin: Fermions and Bosons8.6 The Dirac Equation 8.6.1 The Pauli Equation and the Spin8.6.2 Dirac Equation with a Central Potential 8.6.3 Relativistic Hydrogen Atom and Fine Splitting 8.6.4 Relativistic Corrections to the Schrodinger Hamiltonian9 Quantum Mechanics of Many-Body Systems 9.1 Identical Quantum Particles 9.1.1 Spin-Statistics Theorem9.2 Non-Interacting Identical Particles9.2.1 Atomic Shell Structure and the Periodic Table of the Elements 9.3 Interacting Identical Particles9.3.1 Variational Principle9.3.2 Electrons in Atoms and Molecules10 Quantum Statistical Mechanics 10.1 Quantum Statistical Ensembles 10.1.1 Quantum Microcanonical Ensemble 10.1.2 Quantum Canonical Ensemble 10.1.3 Quantum Grand Canonical Ensemble 10.2 Bosons and Fermions at Finite Temperature 10.2.1 Gas of Photons at Thermal Equlibrium10.2.2 Gas of Massive Bosons at Thermal Equlibrium 10.2.3 Gas of Non-Interacting Fermions at Zero TemperatureAppendix A Dirac Delta Function A.1 The Heaviside Step Function A.2 The Strange Function of Dirac A.2.1 Dirac Function and the Integrals A.3 Dirac Function in D Spatial Dimensions Appendix B Complex Numbers B.1 Set of Complex Numbers B.2 Gauss Plane B.2.1 Polar Representation B.3 Euler Formula B.3.1 Proof of the Euler Formula B.3.2 De Moivre FormulaB.4 Fundamental Theorem of Algebra B.5 Complex Functions Appendix C Fourier Transform C.1 Geometric and Taylor SeriesC.2 Fourier Series .C.2.1 Complex Representation of the Fourier Series C.3 Fourier Integral C.3.1 Properties of the Fourier Transform C.3.2 Fourier Transform and Uncertanty TheoremC.4 Fourier Transform of Space-Time FunctionsAppendix D Di erential equations D.1 First-Order Ordinary Di erential EquationsD.1.1 Separation of Variables D.2 Second-Order Ordinary Di erential Equations D.3 Newton Law as a Second-Order ODE D.4 Partial Di erential Equations D.4.1 Wave Equation D.4.2 Di usion Equation Bibliography
£41.70
Springer Random Fields for Spatial Data Modeling: A Primer
Book SynopsisThis book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.Trade Review“I would say … that the author’s use of an interdisciplinary approach in presenting the field of spatial data modeling is what makes this book truly unique. … I believe anyone who is willing to learn about and understand concepts, assumptions and methods behind spatial data modeling would benefit from having a copy of this outstanding book.” (Sandra De Iaco, Mathematical Geosciences, February 12, 2021)Table of ContentsIntroduction.- Preliminary Remarks.- Why Random Fields?.- Notation and Definitions.- Noise and Errors.- Spatial Data and Basic Processing Procedures.- A Personal Selection of Relevant Books.- Trend Models and Estimation.- Empirical Trend Estimation.- Regression Analysis.- Global Trend Models.- Local Trend Models.- Trend Estimation based on Physical Information.- Trend Based on the Laplace Equation.- Basic Notions of Random Fields.- Introduction.- Single-Point Description.- Stationarity and Statistical Homogeneity.- Variogram versus Covariance.- Permissibility of Covariance Functions.- Permissibility of Variogram Functions.- Additional Topics of Random Field Modeling.- Ergodicity.- Statistical Isotropy.- Anisotropy.- Anisotropic Spectral Densities.- Multipoint Description of Random Fields.- Geometric Properties of Random Fields.- Local Properties.- Covariance Hessian Identity and Geometric Anisotropy.- Spectral Moments.- Length Scales of Random Fields.- Fractal Dimension.- Long-Range Dependence.- Intrinsic Random Fields.- Fractional Brownian Motion.- Classification of Random Fields.- Gaussian Random Fields.- Multivariate Normal Distribution.- Field Integral Formulation.- Useful Properties of Gaussian Random Fields.- Perturbation Theory for Non-Gaussian Probability Densities.- Non-stationary Covariance Functions.- Further Reading.- Random Fields based on Local Interactions.- Spartan Spatial Random Fields.- Two-point Functions and Realizations.- Statistical and Geometric Properties.- Bessel-Lommel Covariance Functions.- Lattice Representations of Spartan Random Fields.- Introduction to Gauss-Markov Random Fields.- From Spartan Random Fields to Gauss-Markov Random Fields.- Lattice Spectral Density.- SSRF Lattice Moments.- SSRF Inverse Covariance Operator on Lattices.- Spartan Random Fields and Langevin Equations.- Introduction to Stochastic Differential Equations.- Classical Harmonic Oscillator.- Stochastic Partial Differential Equations.- Spartan Random Fields and Stochastic Partial Differential Equations.- Covariance and Green’s functions.- Whittle-Matérn Stochastic Partial Differential Equation.- Diversion in Time Series.- Spatial Prediction Fundamentals.- General Principles of Linear Prediction.- Deterministic Interpolation.- Stochastic Methods.- Simple Kriging.- Ordinary Kriging.- Properties of the Kriging Predictor.- Topics Related to the Application of Kriging.- Evaluating Model Performance.- More on Spatial Prediction.- Linear Generalizations of Kriging.- Nonlinear Extensions of Kriging.- Connections with Gaussian Process Regression.- Bayesian Kriging.- Continuum Formulation of Linear Prediction.- The “Local-Interaction” Approach.- Big Spatial Data.- Basic Concepts and Methods of Estimation.- Estimator Properties.- Estimating the Mean with Ordinary Kriging.- Variogram Estimation.- Maximum Likelihood Estimation.- Cross Validation.- More on Estimation.- The Method of Normalized Correlations.- The Method of Maximum Entropy.- Stochastic Local Interactions.- Measuring Ergodicity.- Beyond the Gaussian Models.- Trans-Gaussian Random Fields.- Gaussian Anamorphosis.- Tukey g-h Random Fields.- Transformations based on Kappa Exponentials.- Hermite Polynomials.- Multivariate Student’s t-distribution.- Copula Models.- The Replica Method.- Binary Random Fields.- The Indicator Random Field.- Ising Model.- Generalized Linear Models.- Simulations.- Introduction.- Covariance Matrix Factorization.- Spectral Simulation Methods.- Fast-Fourier-Transform Simulation.- Randomized Spectral Sampling.- Conditional Simulation based on Polarization Method.- Conditional Simulation based on Covariance Matrix Factorization.- Monte Carlo Methods.- Sequential Simulation of Random Fields.- Simulated Annealing.- Karhunen-Loève Expansion.- Karhunen-Loève Expansion of Spartan Random Fields.- Epilogue.- A Jacobi’s Transformation Theorems.- B Tables of SSRF Properties.- C Linear Algebra Facts.- D Kolmogorov-Smirnov Test.- Glossary.- References.- Index.
£104.49
World Scientific Publishing Co Pte Ltd Principles Of Classical Thermodynamics: Applied
Book SynopsisThe aim of this book is to present Classical Thermodynamics in a unified way, from the most fundamental principles to non-uniform systems, thereby requiring the introduction of coarse graining methods, leading for instance to phase field methods. Solutions thermodynamics and temperature-concentration phase diagrams are covered, plus also a brief introduction to statistical thermodynamics and topological disorder. The Landau theory is included along with a general treatment of multicomponent instabilities in various types of thermodynamic applications, including phase separation and order-disorder transitions. Nucleation theory and spinodal decomposition are presented as extreme cases of a single approach involving the all-important role of fluctuations.In this way, it is hoped that this coverage will reconcile in a unified manner techniques generally presented separately in physics and materials texts.
£81.00
John Wiley & Sons Inc Statistical Mechanics for Chemists
Book SynopsisA graduate-level text, this book introduces the concepts and equations of statistical mechanics for the chemist. It presents a treatment of the fundamentals, beginning with ideas and functions followed by a demonstration of applications and thermodynamic properties.Table of ContentsEnsembles. Independent Particles. Atoms and Molecules. Quantum Statistical Mechanics. Classical Statistical Mechanics. Fluids. Time Dependence. Bibliography. Index.
£159.26
John Wiley & Sons Inc Ordering and Phase Transitions in Charged
Book Synopsis* Physical chemists will find this book comprehensive. Topical reviews on all aspects of colloidal ordering and related phase transitions will be covered. It provides a good blend of experimental and theoretical investigations. * Useful to materials scientists and chemical engineers, the book includes a discussion of stability, important from the point of view of applications of colloidal crystals. * Physicists will be interested in the book, because it highlights the controversy over effective interparticle interaction in charged colloids.Table of ContentsFrom the Contents: Interaction, Ordering and Phase Transitions in Charged Colloids: An Introduction/ Video-Microscopic and X-Ray Scattering Studies of Colloidal Dispersions/ Direct Imaging of the Local Dynamics of Colloidal Phase Transitions/ Kinetics of Colloidal Crystallization/ Kossel-Line Analysis for Colloidal Crystal Growth/ Photothermal Stability of Colloidal Crystals/ Order-Disorder Transition in Charged Polydisperse Colloids/ Vapor-Liquid Condensation and Reentrant Transition in Charged Colloids/ Theory of Interactions in Charged Colloids/ Liquid-Solid Transition in Colloidal Suspensions with and without External Emodulations: Density Functional Theory/ Dynamics of Charged Colloidal Suspensions Across the Freezing and Glass Transition/ Determination of Interaction Forces in Colloids: Direct and Indirect Methods.
£305.96
John Wiley & Sons Inc Modes of Parametric Statistical Inference
Book SynopsisA fascinating investigation into the foundations of statistical inference This publication examines the distinct philosophical foundations of different statistical modes of parametric inference.Trade Review"…a terrific resource for students preparing for comprehensive exams and wanting to expand their understanding of statistical inference." (Biometrics, September 2007)Table of ContentsForeword. Preface. 1. A Forerunner. 2. Frequentist Analysis. 3. Likelihood. 4. Testing Hypotheses. 5. Unbiased and Invariant Tests. 6. Elements of Bayesianism. 7. Theories of Estimation. 8. Set and Interval Estimation. References. Index.
£110.66
John Wiley & Sons Inc Statistical Mechanics
Book SynopsisUnlike most other texts on the subject, this clear, concise introduction to the theory of microscopic bodies treats the modern theory of critical phenomena. Provides up-to-date coverage of recent major advances, including a self-contained description of thermodynamics and the classical kinetic theory of gases, interesting applications such as superfluids and the quantum Hall effect, several current research applications, The last three chapters are devoted to the Landau-Wilson approach to critical phenomena. Many new problems and illustrations have been added to this edition.Table of ContentsThe Laws of Thermodynamics. Some Applications of Thermodynamics. The Problem of Kinetic Theory. The Equilibrium State of a Dilute Gas. Transport Phenomena. Classical Statistical Mechanics. Canonical Ensemble and Grand Canonical Ensemble. Quantum Statistical Mechanics. General Properties of the Partition Function. Approximate Methods. Fermi Systems. Bose Systems. Superfluids. Ising Model. Onsager Solution. Critical Phenomena. The Landau Approach. Renormalization Group. Appendix. Index.
£200.66
Taylor & Francis Ltd College Physics Essentials Eighth Edition
Book SynopsisThis new edition of College Physics Essentials provides a streamlined update of a major textbook for algebra-based physics. This is the second volume covers electricity, atomic, nuclear, and quantum physics. The first volume is available separately and covers topics such as mechanics, heat, and thermodynamics. The authors provide emphasis on worked examples together with expanded problem sets that build from conceptual understanding to numerical solutions and real-world applications to increase reader engagement. Including over 900 images throughout the two volumes, this textbook is highly recommended for students seeking a basic understanding of key physics concepts and how to apply them to real problems. Table of Contents15. Electric Charge, Forces, and Fields. 16. Electrical Potential, Energy, and Capacitance. 17. Electric Current and Resistance. 18. Basic Electric Circuits. 19. Magnetism. 20. Electromagnetic Induction and Waves. 21. AC Circuits. 22. Reflection and Refraction of Light. 23. Mirrors and Lenses. 24. Physical Optics: The Wave Nature of Light. 25. Vision and Optical Instruments. 26. Relativity. 27. Quantum Physics. 28. Quantum Mechanics and Atomic Physics. 29. The Nucleus. 30. Nuclear Reactions and Elementary Particles.
£120.00
Springer Verlag Note di fisica statistica
Book SynopsisIl testo si configura come un' introduzione alla fisica statistica rivolto in primo luogo a quei corsi di studio in ingegneria che più hanno a che fare con le proprietà fisiche dei materiali, ed ha lo scopo di fornire le basi microscopiche del comportamento termodinamico di cui si fa uso sia in molti corsi tradizionali, quali quelli di termofluidica d'interesse per l'ingegneria chimica e nucleare, che in corsi rivolti ad applicazioni avanzate nella scienza dei materiali e nelle nanotecnologie. Particolare attenzione viene quindi dedicata all'impiego di metodi di fisica statistica nella scienza dei materiali, approfondendo tematiche relative alle vibrazioni nei solidi, ai processi di nucleazione liquido/vapore, alla struttura dello stato fluido e vetroso, ai plasmi, ai materiali magnetici, al gas di Fermi e alla superfluidità. Per il suo carattere generale, e per l'accento posto sui fondamenti della meccanica quantistica, il volume si presta comunque a costituire anche un testo introduttivo alla meccanica statistica per studenti dei corsi di laurea in fisica.Trade ReviewFrom the reviews:“The book covers the main typical arguments of a course on statistical physics and thermodynamics in the Italian university system. … the author intends to transmit to the readers: the subject of statistical physics is not only useful, but is also far to be boring and can reveal an intrinsic beauty. Also, the style of writing the different chapters reveals the intention of the author to give a pleasant environment for the study of the subject.” (Francesco Salvarani, Zentralblatt MATH, Vol. 1241, 2012)
£49.49
New India Publishing Agency Inferential Statistics
Book Synopsis
£150.10
Dover Publications Inc. An Introduction to Statistical Thermodynamics
Book Synopsis
£15.29
Clarendon Press Dynamical Theory of Crystal Lattices
Book SynopsisAt the time of its original publication this reissued ''classic'' text, co-written by the Nobel Laureate of 1954, Max Born, represented the final account of the subject and in many ways it still does. The book is divided into four sections. The first of these is very general in nature and deals with the general statistical mechanics of ideal lattices, leading to the electric polarizability and to the scattering of light. The second part deals with the properties of long lattice waves; the third with thermal properties and the fourth with optical properties.Trade Review'extraordinarily general and sound introduction ... a standard work that is indispensable to all working in this field' * Die Naturwissenschaften *'... important mathematical methods which should be of use in other subjects as well' * British Journal of Applied Physics *Table of ContentsPART 1: ELEMENTARY THEORIES ; PART 2: GENERAL THEORIES
£51.30
Clarendon Press Statistical Mechanics of Phase Transitions
Book SynopsisRecent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field.The book will be useful as a textbook for a course in `Phase Transitions'', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist.Trade Review'The book will be useful as a textbook for a course in phase transitions; as an introduction in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. (orig.) Physics Briefs'it is desirable that those who wish to be acquainted with the work being done in the field have access to suitable textbooks ... Such a book is the text under review ... this book will serve as a useful map to novices to the field.' Dr A. Danielian, King's College, London, Contemporary Physics, Volume 33, Number 5, September/October 1992'novices will be provided with an up-to-date map of the field.' Dr. A. Danielian, King's College, London. Contemporary Physics, 1992, Volume 33, Number 5.Table of ContentsIntroduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group.
£43.99
Oxford University Press QUANTUM INFORMATION OMSP P
Book SynopsisQuantum information- the subject- is a new and exciting area of science, which brings together physics, information theory, computer science and mathematics. Quantum Information- the book- is based on two successful lecture courses given to advanced undergraduate and beginning postgraduate students in physics. The intention is to introduce readers at this level to the fundamental, but offer rather simple, ideas behind ground-breaking developments including quantum cryptography, teleportation and quantum computing. The text is necessarily rather mathematical in style, but the mathematics nowhere allowed priority over the key physical ideas. My aim throughout was to be as complete and self- contained but to avoid, as far as possible, lengthy and formal mathematical proofs. Each of the eight chapters is followed by about forty exercise problems with which the reader can test their understanding and hone their skills. These will also provide a valuable resource to tutors and lectures.Trade ReviewThis is an excellent introductory book, ideal for a final year UK undergraduate course in QI. It is the best one I have found so far and provides an excellent grounding for more advanced books like Nielsen and Chuang for example * Professor David Toms, Newcastle University *Stephen Barnett's Quantum Information is a concise and remarkably readable account of most of the developments in the field. His book touches on almost all aspects of quantum information and quantum computing, including communication and measurement theory, entanglement, and computing algorithms. An impressive book...The engaging introductory chapters, extensive problem sets, and exhaustive appendices result in a textbook highly recommended for a one-semester course on quantum information at the advanced undergraduate or graduate level. * Physics Today *A carefully written book..., well suited as a textbook..., strong on pedagogy..., accomplishes a lot as a very accessible first introduction to quantum information. * American Journal of Physics *...an impressive book. The engaging introductory chapters, extensive problems sets, and exhaustive appendices result in a textbook that I highly recommend for a one-semester course on quantum information at the advanced undergraduate or graduate level. * M. Suhail Zubairy, Physics Today *A nice introduction to quantum information. * Mathematical Reviews *Table of Contents1. Probability and Information ; 2. Elements of Quantum Theory ; 3. Quantum Cryptography ; 4. Generalized Measurements ; 5. Entaglement ; 6. Quantum Information processing ; 7. Quantum Computation ; 8. Quantum Information theory
£38.99
Oxford University Press Data Analysis
Book SynopsisStatistics lectures have been a source of much bewilderment and frustration for generations of students. This book attempts to remedy the situation by expounding a logical and unified approach to the whole subject of data analysis.This text is intended as a tutorial guide for senior undergraduates and research students in science and engineering. After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing. Other topics covered include reliability analysis, multivariate optimization, least-squares and maximum likelihood, error-propagation, hypothesis testing, maximum entropy and experimental design.The Second Edition of this successful tutorial book contains a new chapter on extensions to the ubiquitous least-squares procedure, allowing for the straightforward handling of outliers and unknown correlated noise, and a cutting-edge contribution from John Skilling oTrade ReviewOne of the strengths of this book is the author's ability to motivate the use of Bayesian methods through simple yet effective examples. * Katie St. Clair MAA Reviews *Table of Contents1. The Basics ; 2. Parameter Estimation I ; 3. Parameter Estimation II ; 4. Model Selection ; 5. Assigning Probabilities ; 6. Non-parametric Estimation ; 7. Experimental Design ; 8. Least-Squares Extensions ; 9. Nested Sampling ; 10. Quantification ; Appendices ; Bibliography
£42.49
Oxford University Press Information Physics and Computation
Book SynopsisThis book presents a unified approach to a rich and rapidly evolving research domain at the interface between statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. It is accessible to graduate students and researchers without a specific training in any of these fields. The selected topics include spin glasses, error correcting codes, satisfiability, and are central to each field. The approach focuses on large random instances and adopts a common probabilistic formulation in terms of graphical models. It presents message passing algorithms like belief propagation and survey propagation, and their use in decoding and constraint satisfaction solving. It also explains analysis techniques like density evolution and the cavity method, and uses them to study phase transitions.Trade Review`Combines an exceptionally broad coverage of non-trivial problems with a treatment of sufficient depth [...] A very valuable and unique book.' ACC Coolen, King's College London`There is a growing awareness within computer science that concepts from statistical physics and information theory can provide excellent tools to study computational methods and problems. This book, by world-renowned experts in the field, provides a lucid introduction to this exciting new interdisciplinary research area. ' Bart Selman, Cornell University`No doubt a book of highest quality.' Heiko Rieger, Saarland UniversityTable of Contents1. Introduction to Information Theory ; 2. Statistical physics and probability theory ; 3. Introduction to combinatorial optimization ; 4. Probabilistic toolbox ; 5. The Random Energy Model ; 6. Random Code Ensemble ; 7. Number partitioning ; 8. Introduction to replica theory ; 9. Factor graphs and graph ensembles ; 10. Satisfiability ; 11. Low-Density Parity-Check Codes ; 12. Spin glasses ; 13. Bridges: Inference and Monte Carlo ; 14. Belief propagation ; 15. Decoding with belief propagation ; 16. The assignment problem ; 17. Ising models on random graphs ; 18. Linear Boolean equations ; 19. The 1RSB cavity method ; 20. Random K-satisfiability ; 21. Glassy states in coding theory ; 22. An ongoing story
£92.42
Oxford University Press FIRST COURSE IN NETWORK THEORY P
Book SynopsisThe study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needs of students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results.In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used for studying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text Table of Contents1. Introduction ; 2. General Concepts in Network Theory ; 3. How To Prove It? ; 4. Data Analysis ; 5. Algebraic Concepts in Network Theory ; 6. Spectra of Adjacency Matrices ; 7. The Network Laplacian ; 8. Classical Physcis Analogies ; 9. Degree Distributions ; 10. Clustering Coefficients of Networks ; 11. Random Models of Networks ; 12. Matrix Functions ; 13. Fragment Based Measures ; 14. Classical Node Centrality ; 15. Spectral Node Centrality ; 16. Quantum Physcis Analogies ; 17. Global Properties of Networks I ; 18. Global properties of networks II ; 19. Communicability in Networks ; 20. Statistical Physics Analogies ; 21. Communities in Networks
£58.23
Oxford University Press Snow Avalanches Beliefs Facts and Science
Book SynopsisThis book provides a critical update of the most recent and innovative developments of avalanche science. It aims at re-founding avalanche science on clear scientific bases, from field observations and experiments up to mathematical and physical analysis and modeling. In this respect, it stands in a still unoccupied but fundamental niche amidst the abundant avalanche literature.In the current context of a accelerated climate warming, the book also discusses possible evolutions of snow cover extent and stability. It also shows how the present analysis can be extended, in mountainous areas, to other gravitationally induced phenomena that are likely to take over from avalanches under specific circumstances.The text is supported by online links to field experiments and lectures on triggering mechanisms, risk management, and decision making.Trade ReviewProvides the best overall understanding of avalanche science in the most practical way. * Henry Schniewind, Director of Henry's Avalanche Talk (HAT), London and Val d'Isère *Table of ContentsINTRODUCTION SNOW, AN INTRIGUING, COMPLEX AND CHANGEABLE SOLID 2.1: From ice to snow 2.2: Snow crystals 2.3: From snowfalls to snow layers 2.4: Snow as a granular medium 2.5: Snow as a porous medium: the concept of percolation BASICS OF DEFORMATION, FRACTURE AND FRICTION PROCESSES 3.1: Deformation of solids 3.2: Fracture initiation and extension 3.3: Griffith's criterion 3.4: The brittle to ductile transition 3.5: Coulomb's law of friction SLAB AVALANCHE RELEASE: DATA AND FIELD EXPERIMENTS 4.1: Geometry and dynamical characteristics 4.2: Statistical aspects: scale invariance 4.3: The weak layer, starting point for slab avalanche release 4.4: Stability and Bridging indexes SLAB AVALANCHE MODELING 5.1: Old myths and beliefs to shoot down 5.2: Basis for modeling 5.3: Statistical approach: Playing with cellular 5.4: Sliding or sticking? 5.5: Slab avalanche release in four steps SUPERFICIAL AND FULL-DEPTH AVALANCHES 6.1: Loose snow avalanches 6.2: Full depth avalanches 6.3: Summary SNOW AND AVALANCHES IN A CLIMATE WARMING CONTEXT 7.1: Climate change 7.2: Possible consequences on avalanching SUMMARY AND CONCLUSION APPENDIX A COMPLEXITY AND CRITICAL PHENOMENA A1: From simple to complex systems A2: Scale invariance and self-organized criticality APPENDIX B MODELING A FLUID TO SOLID PHASE TRANSITION IN SNOW WEAK-LAYERS. B1: A fluid to solid phase transition in healable granular materials B2: Application to slab avalanche release APPENDIX C STABILITY OF A SINTERED WEAK LAYER DISK SURROUNDED BY A RING-SHAPED FLUID WEAK LAYER ZONE
£52.00
Oxford University Press (UK) Theory of Itinerant Electron Magnetism International Series of Monographs on Physics 106
Book SynopsisThis book is an application of quantum and statistical mechanics to the field of magnetism. The microscopic theory of many electron systems is presented in detail. Emphasis is given on how to solve the equations numerically with the use of computer programmes and how to apply them to problems arising in mechanical engineering or material sciences.Trade ReviewTheory of Itinerant Electron Magnetism by Jurgen Kubler is a unique contribution to the study of magnetism, in that it attempts to describe a substantial part of the field using the local density functional approximation (LDA). The author concentrates on itinerant electron systems and emphasizes the importance of the electronic structure to the understanding of magnetic properties of realistic materials. Furthermore, Kubler cautions the reader that LDA does not correspond to the independent-particle picture; he advocates the extensive use of computers to solve the many-electron problem within LDA. However, he makes it very clear that LDA programs running on even the most efficient computers are not the answer to all magnetism questions, particularly those dealing with strongly correlated electron systems, for which no controlled general theory truly exists[...] This book will be useful to many researchers, theorists, and experimentalists alike. * Physics Today *Table of Contents1 INTRODUCTION; 2 DERIVATION OF THE SINGLE-PARTICLE SCHRODINGER EQUATION: DENSITY AND SPIN-DENSITY-FUNCTIONAL THEORY; 3 ENERGY BAND THEORY; 4 ELECTRONIC STRUCTURE AND ITINERANT ELECTRON MAGNETISM; 5 MAGNETISM OF ITINERANT ELECTRON SYSTEMS AT FINITE TEMPERATURES; APPENDIX: THE ASW PROGRAMME; BIBLIOGRAPHY
£78.85
Oxford University Press Quantum Mechanics
Book SynopsisThis book provides the reader with a contemporary and comprehensive introduction to Quantum Mechanics. It is suitable for beginners as well as for more advanced university students. Quantum mechanics is presented in a pedagogical fashion, with a clear logical organization. The various concepts and methods are introduced first in elementary terms, and later developed into more precise formulations. Systematic studies of approximation methods and the discussion of a wide class of physical applications follow.Part I of the book, together with the opening sections of Part II, provide adequate material for an introductory course of one semester at most universities. The rest of the book might be used in an advanced course on Quantum Mechanics. The basic material is fairly standard, even though some discussions such as those on general systems with time-dependent Hamiltonians, on metastable systems, as well as the discussions in some of the Complement sections, may not be found in other textTable of ContentsI; II; III; IV; V
£110.00
Oxford University Press An Introduction to Statistical Mechanics and Thermodynamics
Book SynopsisThis text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which is central to thermal physics. A unique feature of the book is the development of entropy based on Boltzmann''s 1877 definition; this avoids contradictions or ad hoc corrections found in other texts. Detailed fundamentals provide a natural grounding for advanced topics, such as black-body radiation and quantum gases. An extensive set of problems (solutions are available for lecturers through the OUP website), many including explicit computations, advance the core content by probing essential concepts. The text is designed for a two-semester undergraduate course but can be adapted for one-semeTrade ReviewIn his innovative new text, Carnegie Mellon University physics professor Robert Swendsen presents the foundations of statistical mechanics with, as he puts it, a detour through thermodynamics. That's a desirable strategy because the statistical approach is more fundamental than the classical thermodynamics approach and has many applications to current research problems. [] The mathematical notation is carefully introduced and useful; the selected mathematical techniques are clearly explained in a conversational style that both graduate and advanced undergraduate students will find easy to follow. The author's subject organization and conceptual viewpoint address some of the shortcomings of conventional developments of thermal physics and will be helpful to students and researchers seeking a deep appreciation of statistical physics. * Physics Today *Bob Swendsen's book is very well thought out, educationally sound, and more original than other texts. * Jan Tobochnik, Kalamazoo College, USA *Robert Swendsen is a well-respected researcher who has developed many novel algorithms that illustrate his deep understanding of statistical mechanics. His textbook reflects his deep understanding and will likely have a major impact on the way statistical mechanics and thermodynamics is taught. Particularly noteworthy is Swendsen's treatment of entropy, following Boltzmann's original definition in terms of probability, and his comprehensive discussion of the fundamental principles and applications of statistical mechanics and thermodynamics. Students and instructors will enjoy reading the book as much as Swendsen obviously enjoyed writing it. * Harvey Gould, Clark University, USA *In this reader-friendly, excellent text, the author provides a unique combination of the best of two worlds: traditional thermodynamics (following Callen's footsteps) and modern statistical mechanics (including VPython codes for simulations). * Royce Zia, Virginia Polytechnic Institute and State University, USA *Swendsen is famous for developing Monte Carlo algorithms which dramatically speed up the simulation of many systems near a phase transition. The ideas for those algorithms required deep understanding of statistical mechanics, an understanding which is now fully applied to this excellent textbook. * Peter Young, University of California, USA *Table of ContentsI ENTROPY; II INTRODUCTION TO THERMODYNAMICS; III CLASSICAL STATISTICAL MECHANICS; IV QUANTUM STATISTICAL MECHANICS
£94.96
Oxford University Press Simple Brownian Diffusion An Introduction to the Standard Theoretical Models
Book SynopsisBrownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusion is one of the ways in which key reactant molecules move about inside a living cell. This book focuses on the four simplest models of Brownian diffusion: the classical Fickian model, the Einstein model, the discrete-stochastic (cell-jumping) model, and the Langevin model. The authors carefully develop the theories underlying these models, assess their relative advantages, and clarify their conditions of applicability. Special attention is given to the stochastic simulation of diffusion, and to showing how simulation can complement theory and experiment. Two self-contained tutorial chapters, one on the mathematics of random variables and the other on the mathematics of continuous Markov processes (stochastic differential equations), make the book accessible to researchers from a broad spectrum of technical backgrounds.Trade ReviewIn a lively tutorial style, the authors discuss some of the most widely used mathematical formulations of diffusion. They have endeavored to organize and present the subject matter from a purely logical perspective. They emphasize the basic physical assumptions and the conditions for the validity of each of the mathematical formalisms. No subtlety is bypassed, and no limitation of the theory is swept under the carpet. * Debashish Chowdhury, Physics today *In a lively tutorial style, the authors discuss some of the most widely used mathematical formulations of diffusion. They have endeavored to organize and present the subject matter "from a purely logical perspective". They emphasize the basic physical assumptions and the conditions for the validity of each of the mathematical formalisms. No subtlety is bypassed, and no limitation of the theory is swept under the carpet. * Physics Today *Table of Contents1. The Fickian theory of diffusion ; 2. A review of random variable theory ; 3. Einstein's theory of diffusion ; 4. Implications and limitations of the Einstein theory of diffusion ; 5. The discrete-stochastic approach ; 6. Master equations and simulation algorithms for the discrete-stochastic approach ; 7. Continuous Markov process theory ; 8. Langevin's theory of diffusion ; 9. Implications of Langevin's theory ; 10. Diffusion in an external force field ; 11. The first-passage time approach
£126.10
Cambridge University Press Hydrodynamics Nonlinear Instabltes Collection AleaSaclay Monographs and Texts in Statistical Physics
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£118.92
Cambridge University Press Nonequilibrium Statistical Mechanic
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£62.08
Cambridge University Press Nonequilibrium Phase Transitions in Lattice Models
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£63.07
Cambridge University Press Continuum Percolation 119 Cambridge Tracts in Mathematics Series Number 119
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£58.12
Cambridge University Press Path Integrals and Anomalies in Curved Space Cambridge Monographs on Mathematical Physics
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£54.99
Cambridge University Press A Modern Approach to Critical Phenomena
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£36.38
