Phase Transition Dynamics

Phase Transition Dynamics
Author: Akira Onuki
Publisher: Cambridge University Press
Total Pages: 726
Release: 2002-06-06
Genre: Science
ISBN: 1139433164

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Phase Transition Dynamics, first published in 2002, provides a fully comprehensive treatment of the study of phase transitions. Building on the statistical mechanics of phase transitions, covered in many introductory textbooks, it will be essential reading for researchers and advanced graduate students in physics, chemistry, metallurgy and polymer science.

Phase Transition Dynamics

Phase Transition Dynamics
Author: Tian Ma
Publisher: Springer Science & Business Media
Total Pages: 575
Release: 2013-11-09
Genre: Mathematics
ISBN: 1461489636

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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.

Quantum Phase Transitions

Quantum Phase Transitions
Author: Subir Sachdev
Publisher: Cambridge University Press
Total Pages: 521
Release: 2011-04-07
Genre: Science
ISBN: 113950021X

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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.

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions
Author: Yuriy M. Bunkov
Publisher: Springer Science & Business Media
Total Pages: 388
Release: 2012-12-06
Genre: Science
ISBN: 9401141061

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Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.

Symmetry And Fundamental Physics: Tom Kibble At 80

Symmetry And Fundamental Physics: Tom Kibble At 80
Author: Jerome Gauntlett
Publisher: World Scientific
Total Pages: 170
Release: 2013-12-16
Genre: Science
ISBN: 9814583073

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Tom Kibble is an inspirational theoretical physicist who has made profound contributions to our understanding of the physical world. To celebrate his 80th birthday a one-day symposium was held on March 13, 2013 at the Blackett Laboratory, Imperial College, London. This important volume is a compilation of papers based on the presentations that were given at the symposium.The symposium profiled various aspects of Tom's long scientific career. The tenor of the meeting was set in the first talk given by Neil Turok, director of the Perimeter Institute for Theoretical Physics, who described Tom as “our guru and example”. He gave a modern overview of cosmological theories, including a discussion of Tom's pioneering work on how topological defects might have formed in the early universe during symmetry-breaking phase transitions. Wojciech Zurek of Los Alamos National Laboratory continued with this theme, surveying analogous processes within the context of condensed matter systems and explaining the Kibble-Zurek scaling phenomenon. The day's events were concluded by Jim Virdee of Imperial College, who summarized the epic and successful quest of finding the Higgs boson at the Large Hadron Collider at CERN. At the end of the talk, there was a standing ovation for Tom that lasted several minutes.In the evening, Steven Weinberg gave a keynote presentation to a capacity audience of 700 people. He talked eruditely on symmetry breaking and its role in elementary particle physics. At the banquet dinner, Frank Close of Oxford University concluded the banquet speeches by summarizing the significance of Tom's contributions to the creation of the Standard Model.

The Physics of Phase Transitions

The Physics of Phase Transitions
Author: Pierre Papon
Publisher: Springer Science & Business Media
Total Pages: 410
Release: 2013-06-29
Genre: Science
ISBN: 3662049899

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The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.

Phase Transitions

Phase Transitions
Author: Ricard V. Solé
Publisher: Princeton University Press
Total Pages: 238
Release: 2011-08-14
Genre: Mathematics
ISBN: 0691150753

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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.

Universality of Phase Transition Dynamics

Universality of Phase Transition Dynamics
Author:
Publisher:
Total Pages:
Release: 2014
Genre:
ISBN:

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In the course of a non-equilibrium continuous phase transition, the dynamics ceases to be adiabatic in the vicinity of the critical point as a result of the critical slowing down (the divergence of the relaxation time in the neighborhood of the critical point). This enforces a local choice of the broken symmetry and can lead to the formation of topological defects. The Kibble-Zurek mechanism (KZM) was developed to describe the associated nonequilibrium dynamics and to estimate the density of defects as a function of the quench rate through the transition. During recent years, several new experiments investigating formation of defects in phase transitions induced by a quench both in classical and quantum mechanical systems were carried out. At the same time, some established results were called into question. We review and analyze the Kibble-Zurek mechanism focusing in particular on this surge of activity, and suggest possible directions for further progress.

The Physics of Structural Phase Transitions

The Physics of Structural Phase Transitions
Author: Minoru Fujimoto
Publisher: Springer Science & Business Media
Total Pages: 256
Release: 2013-04-09
Genre: Science
ISBN: 1475727259

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Intended for readers with some prior knowledge of condensed-matter physics, this text emphasises the basic physics behind spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the author discusses the nature of order variables and their collective motion in a crystal lattice. He also goes on to describe experimental methods for modulated crystal structures and gives examples of structural changes in representative systems. Both a graduate text and reference work.