Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics


Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics
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Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics


Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics
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Author : Ricardo Puebla
language : en
Publisher:
Release Date : 2018

Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics written by Ricardo Puebla and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Equilibrium categories.


In this book, the equilibrium and nonequilibrium properties of continuous phase transitions are studied in various systems, with a special emphasis on understanding how well-established universal traits at equilibrium may be extended into the dynamic realm, going beyond the paradigmatic Kibble-Zurek mechanism of defect formation. This book reports on the existence of a quantum phase transition in a system comprising just a single spin and a bosonic mode (the quantum Rabi model). Though critical phenomena are inherent to many-body physics, the author demonstrates that this small and ostensibly simple system allows us to explore the rich phenomenology of phase transitions, both in- and out-of-equilibrium. Moreover, the universal traits of this quantum phase transition may be realized in a single trapped-ion experiment, thus avoiding the need to scale up the number of constituents. In this system, the phase transition takes place in a suitable limit of system parameters rather than in the conventional thermodynamic limit - a novel notion that the author and his collaborators have dubbed the finite-component system phase transition. As such, the results gathered in this book will open promising new avenues in our understanding and exploration of quantum critical phenomena.



Non Equilibrium Phase Transitions


Non Equilibrium Phase Transitions
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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-27

Non Equilibrium Phase Transitions written by Malte Henkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Science categories.


This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.



Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics


Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics
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Author : Ricardo Puebla
language : en
Publisher: Springer
Release Date : 2018-09-17

Equilibrium And Nonequilibrium Aspects Of Phase Transitions In Quantum Physics written by Ricardo Puebla and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-17 with Science categories.


In this book, the equilibrium and nonequilibrium properties of continuous phase transitions are studied in various systems, with a special emphasis on understanding how well-established universal traits at equilibrium may be extended into the dynamic realm, going beyond the paradigmatic Kibble–Zurek mechanism of defect formation. This book reports on the existence of a quantum phase transition in a system comprising just a single spin and a bosonic mode (the quantum Rabi model). Though critical phenomena are inherent to many-body physics, the author demonstrates that this small and ostensibly simple system allows us to explore the rich phenomenology of phase transitions, both in- and out-of-equilibrium. Moreover, the universal traits of this quantum phase transition may be realized in a single trapped-ion experiment, thus avoiding the need to scale up the number of constituents. In this system, the phase transition takes place in a suitable limit of system parameters rather than in the conventional thermodynamic limit – a novel notion that the author and his collaborators have dubbed the finite-component system phase transition. As such, the results gathered in this book will open promising new avenues in our understanding and exploration of quantum critical phenomena.



Dynamics Of First Order Phase Transitions In Equilibrium And Nonequilibrium Systems


Dynamics Of First Order Phase Transitions In Equilibrium And Nonequilibrium Systems
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Author : S. W. Koch
language : en
Publisher:
Release Date : 2014-01-15

Dynamics Of First Order Phase Transitions In Equilibrium And Nonequilibrium Systems written by S. W. Koch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Order Disorder And Criticality


Order Disorder And Criticality
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2004-03-08

Order Disorder And Criticality written by Yurij Holovatch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Science categories.


This book reviews some of the classic aspects in the theory of phase transitions and critical phenomena, which has a long history. Recently, these aspects are attracting much attention due to essential new contributions. The topics presented in this book include: mathematical theory of the Ising model; equilibrium and non-equilibrium criticality of one-dimensional quantum spin chains; influence of structural disorder on the critical behaviour of the Potts model; criticality, fractality and multifractality of linked polymers; field-theoretical approaches in the superconducting phase transitions. The book is based on the review lectures that were given in Lviv (Ukraine) in March 2002 at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject. Contents:Mathematical Theory of the Ising Model and Its Generalizations: An Introduction (Y Kozitsky)Relaxation in Quantum Spin Chains: Free Fermionic Models (D Karevski)Quantum Phase Transitions in Alternating Transverse Ising Chains (O Derzhko)Phase Transitions in Two-Dimensional Random Potts Models (B Berche & C Chatelain)Scaling of Miktoarm Star Polymers (C von Ferber)Field Theoretic Approaches to the Superconducting Phase Transition (F S Nogueira & H Kleinert) Readership: Researchers, academics and graduate students in condensed matter physics. Keywords:Phase Transitions;Disorder;Critical Phenomena;Renormalization Group;Ising Model;Potts Model



Non Equilibrium Phase Transitions


Non Equilibrium Phase Transitions
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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-19

Non Equilibrium Phase Transitions written by Malte Henkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-19 with Science categories.


“The importance of knowledge consists not only in its direct practical utility but also in the fact the it promotes a widely contemplative habit of mind; on this ground, utility is to be found in much of the knowledge that is nowadays labelled ‘useless’. ” Bertrand Russel, In Praise of Idleness, London (1935) “Why are scientists in so many cases so deeply interested in their work ? Is it merely because it is useful ? It is only necessary to talk to such scientists to discover that the utilitarian possibilities of their work are generally of secondary interest to them. Something else is primary. ” David Bohm, On creativity, Abingdon (1996) In this volume, the dynamical critical behaviour of many-body systems far from equilibrium is discussed. Therefore, the intrinsic properties of the - namics itself, rather than those of the stationary state, are in the focus of 1 interest. Characteristically, far-from-equilibrium systems often display - namical scaling, even if the stationary state is very far from being critical. A 1 As an example of a non-equilibrium phase transition, with striking practical c- sequences, consider the allotropic change of metallic ?-tin to brittle ?-tin. At o equilibrium, the gray ?-Sn becomes more stable than the silvery ?-Sn at 13. 2 C. Kinetically, the transition between these two solid forms of tin is rather slow at higher temperatures. It starts from small islands of ?-Sn, the growth of which proceeds through an auto-catalytic reaction.



Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems


Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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Author : Bohdan I Lev
language : en
Publisher: World Scientific
Release Date : 2021-02-18

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan I Lev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Science categories.


This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).



Quantum Phase Transitions In Transverse Field Models


Quantum Phase Transitions In Transverse Field Models
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Author : Amit Dutta
language : en
Publisher: Cambridge University Press
Release Date : 2015-01-28

Quantum Phase Transitions In Transverse Field Models written by Amit Dutta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-28 with Science categories.


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



Statistical Mechanics Of Phase Transitions And Kinetics


Statistical Mechanics Of Phase Transitions And Kinetics
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Author : Edward Timoshenko
language : en
Publisher: Edward Timoshenko
Release Date : 2021-05-06

Statistical Mechanics Of Phase Transitions And Kinetics written by Edward Timoshenko and has been published by Edward Timoshenko this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-06 with Science categories.


This course is devoted to advances of Statistical Mechanics beyond the ideal equilibrium systems. We proceed from the systematic calculation of corrections to the ideal gas law and the van der Waals theory. Next, two-phase coexistence is studied and the Maxwell rule is obtained. The Flory-Huggins theory is derived for polymer solutions. We discuss the generic aspects of phase transitions, phase diagrams, metastable states and applications to chemical reactions. For molecular solutions we derive the Dalton’s, Raoult’s and Henry’s laws, as well as the Van’t-Hoff’s law. Concepts of the non-equilibrium Statistical Mechanics and the Kinetics of phase transitions are overviewed.



Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions


Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions
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Author : Yuriy M. Bunkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topological Defects And The Non Equilibrium Dynamics Of Symmetry Breaking Phase Transitions written by Yuriy M. Bunkov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


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.