Author: Charles M. Newman
Publisher: Springer Science & Business Media
ISBN: 9783764357771
Category : Mathematics
Languages : en
Pages : 100
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Book Description
Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)
Author: Gautam I Menon
Publisher: Springer
ISBN: 9386279517
Category : Science
Languages : en
Pages : 185
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Book Description
Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.
Author: Armin Bunde
Publisher: Springer Science & Business Media
ISBN: 3642848680
Category : Science
Languages : en
Pages : 428
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Book Description
Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current research. This second edition has been substantially revised and updates the literature in this important field.
Author: Sacha Friedli
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643
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Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author: J. M. Ziman
Publisher: Cambridge University Press
ISBN: 9780521292801
Category : Science
Languages : en
Pages : 548
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Book Description
Originally published in 1979, this book discusses how the physical and chemical properties of disordered systems such as liquids, glasses, alloys, amorphous semiconductors, polymer solutions and magnetic materials can be explained by theories based on a variety of mathematical models, including random assemblies of hard spheres, tetrahedrally-bonded networks and lattices of 'spins'. The text describes these models and the various mathematical theories by which the observable properties are derived. Techniques and concepts such as the mean field and coherent approximations, graphical summation, percolation, scaling and the renormalisation group are explained and applied. This book will be of value to anyone with an interest in theoretical and experimental physics.
Author: Ilʹi͡a Mikhaĭlovich Lifshit͡s
Publisher: Wiley-VCH
ISBN:
Category : Science
Languages : en
Pages : 488
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Book Description
Focuses on an important aspect of this highly diversified area of condensed state physics: the one-body approximation in the theory of disordered systems. It describes the scope of problems within the framework of this approximation, its use in formulating several basic concepts, and its value in revealing many characteristic features of disordered systems. The book's main focus is on the density of states and the space-time correlation functions, and on their basic thermodynamic and kinetic characteristics. Among the many areas explored are the general properties of the one-body models frequently used and descriptions of selected one-dimensional problems, including closed dynamical equations; these are then used to thoroughly explore the density of states for several systems. In addition, some of the more complex characteristics of one-dimensional disordered systems are examined using the Fokkerr-Planck equations developed earlier in the text. Also includes a description of the general structure of concentration expansions, giving examples of simple applications.
Author: Paolo M. Ossi
Publisher: Springer Science & Business Media
ISBN: 9783540413288
Category : Science
Languages : en
Pages : 306
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Book Description
This self-contained textbook aims to introduce the physics of structurally disordered condensed systems at the level of advanced undergraduate and graduate students. The topics discussed include the geometry and symmetries of the building blocks commonly used to obtain atomic structures, the various kinds of disorder, the phenomenology and the main theories of the glass transition, investigation of the structure of amorphous systems, the dependence of system structure on its dimensions (clusters), and the case of positional order in the absence of translational order (quasicrystals).
Author: Ariel Amir
Publisher: Cambridge University Press
ISBN: 1108479529
Category : Mathematics
Languages : en
Pages : 243
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Book Description
An introductory text providing the reader with a thorough background to the rich world of applications of stochastic processes.
Author: Daniel L. Stein
Publisher: Princeton University Press
ISBN: 1400845637
Category : Science
Languages : en
Pages : 336
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Book Description
Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
Author: Shan-tao Liao
Publisher: World Scientific
ISBN: 9814553131
Category :
Languages : en
Pages : 656
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Book Description
This updated edition of the book blends in new e-commerce technologies. Mobile commerce (M-commerce) and use of cloud computing are offering a new set of challenges and opportunities for those individuals who know what they are and how they are related to e-commerce. Their use opens up new markets, expanding the need for larger operations, which in turn requires greater knowledge of the operations management subjects presented in this book.The book is focused on issues, concepts, philosophies, procedures, methodologies, and practices of running e-commerce operations. It connects the basic operations management activities undertaken by every organization (e.g., inventory management, scheduling, etc.) and translates their application into issues and problems faced in the field of e-commerce.The book also provides current research findings, strategies, and practices that can help students in the field of operations management run and improve their e-commerce operations. It covers most of the basic operations management activities and functions and has been designed for an upper-level undergraduate business, a graduate business or engineering management course on e-commerce operations management for university students. Students interested in e-commerce operations will find this book a valuable guide to the important aspects of starting up and running an e-commerce operation. They can learn from reading this book how supply chains, products and processes, human resources and purchasing functions can supported and enhanced by the use of e-commerce. In addition, students can learn how to undertake forecasting and scheduling in e-commerce operations. Decision-makers and managers who have to reengineer e-commerce operations can also use this book as a guide to understanding e-commerce.The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to .
