A Modern Approach to Critical Phenomena

Author: Igor Herbut
Publisher: Cambridge University Press
ISBN: 1139460129
Format: PDF, ePub, Docs
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Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.

Elements of Phase Transitions and Critical Phenomena

Author: Hidetoshi Nishimori
Publisher: OUP Oxford
ISBN: 019103553X
Format: PDF, ePub, Docs
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As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japenese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the usefil for self-teaching, as well as for classroom learning.

Introduction to the Theory of Critical Phenomena

Author: Dimo I. Uzunov
Publisher: World Scientific
ISBN: 9814299499
Format: PDF
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This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.

Introduction to the Theory of Critical Phenomena

Author: D. I. Uzunov
Publisher: World Scientific
ISBN: 9789810203887
Format: PDF, Mobi
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The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, ?- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics.

Critical Phenomena in Liquids and Liquid Crystals

Author: Mikhail Alekseevich Anisimov
Publisher: CRC Press
ISBN: 9782881248061
Format: PDF, Kindle
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Phase transitions and critical phenomena in liquids and liquid crystals have been the subject of intensive research since the 1960s. However, books on this fascinating subject have tended to be written by theorists for theorists. Professor Anisimov offers us a new approach: he aims to introduce experimentalists to the modern theories and their applications. After introducing the thermodynamics of phase transitions, he presents the modern theory of critical phenomena. He then concludes by illustrating the utility of this theory in the analysis of experimental measurements in classical fluids and binary mixtures, superfluid mixtures of helium isotopes and liquid crystals. Not only will this book be enjoyed by experimental physicists, chemists and material scientists, it will also offer the theorist an insight into the interpretation of the experimentalist's work.

Dynamic Light Scattering

Author: R. Pecora
Publisher: Springer Science & Business Media
ISBN: 1461323894
Format: PDF, Kindle
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In the twenty years since their inception, modern dynamic light-scattering techniques have become increasingly sophisticated, and their applications have grown exceedingly diverse. Applications of the techniques to problems in physics, chemistry, biology, medicine, and fluid mechanics have prolifer ated. It is probably no longer possible for one or two authors to write a monograph to cover in depth the advances in scattering techniques and the main areas in which they have made a major impact. This volume, which we expect to be the first of aseries, presents reviews of selected specialized areas by renowned experts. It makes no attempt to be comprehensive; it emphasizes a body of related applications to polymeric, biological, and colloidal systems, and to critical phenomena. The well-known monographs on dynamic light scattering by Berne and Pecora and by Chu were published almost ten years ago. They provided comprehensive treatments of the general principles of dynamic light scat tering and gave introductions to a wide variety of applications, but natu rally they could not treat the new applications and advances in older ones that have arisen in the last decade. The new applications include studies of interacting particles in solution (Chapter 4); scaling approaches to the dynamics of polymers, including polymers in semidilute solution (Chapter 5); the use of both Fabry-Perot interferometry and photon correlation spectroscopy to study bulk polymers (Chapter 6); studies of micelIes and microemulsions (Chapter 8); studies of polymer gels (Chapter 9).

Phase Transitions and Critical Phenomena

Author:
Publisher: Elsevier
ISBN: 0080538754
Format: PDF, ePub, Mobi
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The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. No longer an area of specialist interest, it has acquired a central focus in condensed matter studies. The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments. The two review articles in this volume complement each other in a remarkable way. Both deal with what might be called the modern geometric approach to the properties of macroscopic systems. The first article by Georgii (et al.) describes how recent advances in the application of geometric ideas leads to a better understanding of pure phases and phase transitions in equilibrium systems. The second article by Alava (et al.) deals with geometrical aspects of multi-body systems in a hands-on way, going beyond abstract theory to obtain practical answers. The combination of computers and geometrical ideas described in this volume will doubtless play a major role in the development of statistical mechanics in the twenty-first century.

Modern Theory Of Critical Phenomena

Author: Shang-keng Ma
Publisher: Routledge
ISBN: 0429978510
Format: PDF, Docs
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An important contributor to our current understanding of critical phenomena, Ma introduces the beginner--especially the graduate student with no previous knowledge of the subject-to fundamental theoretical concepts such as mean field theory, the scaling hypothesis, and the renormalization group. He then goes on to apply the renormalization group to selected problems, with emphasis on the underlying physics and the basic assumptions involved.

Scaling and Renormalization in Statistical Physics

Author: John Cardy
Publisher: Cambridge University Press
ISBN: 9780521499590
Format: PDF
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A thoroughly modern graduate-level introduction to the theory of critical behaviour. Covers phase transitions, mean field theory, phase diagrams, fixed points, cross-over behaviour, finite-size scaling, a simple approach to the epsilon expansion, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. Includes many problems.

Acoustic Emission and Critical Phenomena

Author: Alberto Carpinteri
Publisher: CRC Press
ISBN: 0203892224
Format: PDF, ePub
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The Acoustic Emission (AE) technique uses ad hoc transducers to detect AE events caused by crack growth in structures under external loading. This technique is similar to the one employed in earthquake control, where seismic waves reach the monitoring stations placed on the surface of the Earth. And although they take place on different scales, these two phenomena – damage in structural materials and earthquakes in geophysics – are very similar. In both cases a release of elastic energy from sources located inside a medium occurs. Both earthquakes and AE signals can be seen as critical phenomena and follow the Guttenberg-Richter frequency-magnitude relationship under a wide variety of conditions. The number of earthquakes and AE signals scale as a power-law of the area of the rupture zone, where fractal scaling is proposed for the spatial and temporal distributions of earthquakes and AEs. In addition, earthquakes can be taken as an example of the notion of self-organized criticality, since this idea describes the spontaneous organization of the dynamics of a system towards a very particular state, analogous to the critical point found in equilibrium phase transitions. It is also pointed out that brittle failure phenomena, as identified through AE monitoring in concrete, masonry and rocks, can be considered as critical phenomena. This volume includes contributions from internationally recognized experts in the areas of seismicity and acoustic emission, presented at the Post-Conference Workshop on “Acoustic Emission and Critical Phenomena: From Structural Mechanics to Geophysics” (Catania, Italy, 22 June 2007) during the 6th International Conference on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS-6). Acoustic Emission and Critical Phenomena: From Structural Mechanics to Geophysics is divided into two parts: Acoustic Emission and Critical Structural States (Part 1), and Seismic Mechanics and Critical Behaviours (Part 2). The book brings together the state-of-the-art in areas ranging from the mechanics of materials to geophysics, and outlines the potential of the AE technique in terms of practical applications (non-destructive testing and failure evaluation) and theoretical developments (critical phenomena in complex systems). The book will proof to be invaluable to civil and geotechnical engineers, and to researchers working in the areas of mechanics of materials, geophysics, and nondestructive measurements and testing.