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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.


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.


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.


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.


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.


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: Moshe Gitterman
Publisher: World Scientific Publishing Company
Total Pages: 212
Release: 2013-09-25
Genre: Science
ISBN: 9814520624

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This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.


Quantum Phase Transitions in Transverse Field Models

Quantum Phase Transitions in Transverse Field Models
Author: Amit Dutta
Publisher: Cambridge University Press
Total Pages: 357
Release: 2015-01-28
Genre: Science
ISBN: 1107068797

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This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.


Phase Transitions in Materials

Phase Transitions in Materials
Author: Brent Fultz
Publisher: Cambridge University Press
Total Pages: 589
Release: 2014-08-14
Genre: Science
ISBN: 1107067243

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A clear, concise and rigorous textbook covering phase transitions in the context of advances in electronic structure and statistical mechanics.


Phase Transition Dynamics

Phase Transition Dynamics
Author: Tian Ma
Publisher: Springer Nature
Total Pages: 757
Release: 2019-11-08
Genre: Mathematics
ISBN: 3030292606

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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. This second edition introduces a unified theory for topological phase transitions, provides a first-principle approach to statistical and quantum physics, and offers a microscopic mechanism of quantum condensates (Bose-Einstein condensation, superfluidity, and superconductivity). Reviews of first edition: “The goals of this interesting book are to derive a general principle of dynamic transitions for dissipative systems and to establish a systematic dynamic transition theory for a wide range of problems in the nonlinear sciences. ... The intended audience for this book includes students and researchers working on nonlinear problems in physics, meteorology, oceanography, biology, chemistry, and the social sciences.” (Carlo Bianca, Mathematical Reviews, December, 2014) “This is a clearly written book on numerous types of phase transitions taken in a broad sense when a dynamical dissipative system transforms from one physical state into another. ... The book is a very useful literature not only for the professionals in the field of dynamic systems and phase transitions but also for graduate students due to its interdisciplinary coverage and state-of-the-art level.” (Vladimir Čadež, zbMATH, Vol. 1285, 2014)