Transition Phase
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| Author | : Subir Sachdev |
| Publisher | : Cambridge University Press |
| Total Pages | : 521 |
| Release | : 2011-04-07 |
| Genre | : Science |
| ISBN | : 113950021X |
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.
| Author | : Ricard V. Solé |
| Publisher | : Princeton University Press |
| Total Pages | : 238 |
| Release | : 2011-08-14 |
| Genre | : Mathematics |
| ISBN | : 0691150753 |
Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas. How might phase transitions shed light on important problems in biological and ecological complex systems? Exploring the origins and implications of sudden changes in nature and society, Phase Transitions examines different dynamical behaviors in a broad range of complex systems. Using a compelling set of examples, from gene networks and ant colonies to human language and the degradation of diverse ecosystems, the book illustrates the power of simple models to reveal how phase transitions occur. Introductory chapters provide the critical concepts and the simplest mathematical techniques required to study phase transitions. In a series of example-driven chapters, Ricard Solé shows how such concepts and techniques can be applied to the analysis and prediction of complex system behavior, including the origins of life, viral replication, epidemics, language evolution, and the emergence and breakdown of societies. Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.
| Author | : Tian Ma |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 575 |
| Release | : 2013-11-09 |
| Genre | : Mathematics |
| ISBN | : 1461489636 |
This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.
| Author | : Pierre Toldano |
| Publisher | : World Scientific |
| Total Pages | : 424 |
| Release | : 1996 |
| Genre | : Science |
| ISBN | : 9789810223649 |
This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.
| Author | : K. Motizuki |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 309 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400945760 |
The structural phase transition is one of the most fundamental problems in solid state physics. Layered transition-metal dichalcogenides provide us with a most exciting area for the study of structural phase transitions that are associated with the charge density wave (CDW). A large variety of structural phase transitions, such as commensurate and incommensurate transitions, and the physical proper ties related to the formation of a CDW, have been an object of intense study made for many years by methods employing modem microscopic techniques. Rather recently, efforts have been devoted to the theoretical understanding of these experimental results. Thus, McMillan, for example, has developed an elegant phenomenological theory on the basis of the Landau free energy expansion. An extension of McMillan's theory has provided a successful understanding of the successive phase transitions observed in the IT- and 2H-compounds. In addition, a microscopic theory of lattice instability, lattice dynamics, and lattice distortion in the CDW state of the transition-metal dichalcogenides has been developed based on their electronic structures. As a result, the driving force of the CDW formation in the IT- and 2H-compounds has become clear. Furthermore, the effect of lattice fluctuations on the CDW transition and on the anomalous behavior of various physical properties has been made clear microscopically.
| Author | : Jasim Ahmed |
| Publisher | : John Wiley & Sons |
| Total Pages | : 490 |
| Release | : 2017-04-24 |
| Genre | : Technology & Engineering |
| ISBN | : 1118935721 |
Glass and State Transitions in Food and Biological Materials describes how glass transition has been applied to food micro-structure, food processing, product development, storage studies, packaging development and other areas. This book has been structured so that readers can initially grasp the basic principles and instrumentation, before moving through the various applications. In summary, the book will provide the “missing link” between food science and material science/polymer engineering. This will allow food scientists to better understand the concept and applications of thermal properties.
| Author | : Hans-Otto Georgii |
| Publisher | : Walter de Gruyter |
| Total Pages | : 561 |
| Release | : 2011-05-31 |
| Genre | : Mathematics |
| ISBN | : 3110250322 |
"This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians." Fredos Papangelou, Zentralblatt MATH The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area.
| Author | : William Bridges |
| Publisher | : Da Capo Lifelong Books |
| Total Pages | : 209 |
| Release | : 2004-08-11 |
| Genre | : Self-Help |
| ISBN | : 0738211427 |
The best-selling guide for coping with changes in life and work, named one of the 50 all-time best books in self-help and personal development Whether you choose it or it is thrust upon you, change brings both opportunities and turmoil. Since Transitions was first published, this supportive guide has helped hundreds of thousands of readers cope with these issues by providing an elegantly simple yet profoundly insightful roadmap of the transition process. With the understanding born of both personal and professional experience, William Bridges takes readers step by step through the three stages of any transition: The Ending, The Neutral Zone, and, eventually, The New Beginning. Bridges explains how each stage can be understood and embraced, leading to meaningful and productive movement into a hopeful future. With a new introduction highlighting how the advice in the book continues to apply and is perhaps even more relevant today, and a new chapter devoted to change in the workplace, Transitions will remain the essential guide for coping with the one constant in life: change.
| Author | : G.R. Grimmett |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 334 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 9401583269 |
This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
| Author | : Martin Brokate |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 368 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461240484 |
Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.
