Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems
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Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems
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Author : Taiki Haga
language : en
Publisher: Springer
Release Date : 2019-01-24
Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems written by Taiki Haga and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-24 with Science categories.
This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.
Non Perturbative Renormalization Group Approach To Some Out Of Equilibrium Systems
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Author : Malo Tarpin
language : en
Publisher: Springer Nature
Release Date : 2020-03-19
Non Perturbative Renormalization Group Approach To Some Out Of Equilibrium Systems written by Malo Tarpin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Science categories.
This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an epidemic within a population. This model exhibits a phase transition peculiar to out-of-equilibrium, between a stationary state where the epidemic is extinct and one where it survives. The present study helps to clarify subtle issues about the underlying symmetries of this process and the possible universality classes of its phase transition. The second system is fully developed homogeneous isotropic and incompressible turbulence. The stationary state of this driven-dissipative system shows an energy cascade whose phenomenology is complex, with partial scale-invariance, intertwined with what is called intermittency. In this work, analytical expressions for the space-time dependence of multi-point correlation functions of the turbulent state in 2- and 3-D are derived. This result is noteworthy in that it does not rely on phenomenological input except from the Navier-Stokes equation and that it becomes exact in the physically relevant limit of large wave-numbers. The obtained correlation functions show how scale invariance is broken in a subtle way, related to intermittency corrections.
Lectures On Phase Transitions And The Renormalization Group
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Author : Nigel Goldenfeld
language : en
Publisher: Addison-Wesley Longman
Release Date : 1992-08-20
Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-20 with Science categories.
Lectures given at the University of Illinois at Urbana-Champaign.
Critical Dynamics
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Author : Uwe C. Täuber
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-06
Critical Dynamics written by Uwe C. Täuber 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 2014-03-06 with Science categories.
A comprehensive and unified introduction to describing and understanding complex interacting systems.
Nonequilibrium Phase Transitions In Driven Vortex Matter
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Author : Shun Maegochi
language : en
Publisher: Springer
Release Date : 2024-07-15
Nonequilibrium Phase Transitions In Driven Vortex Matter written by Shun Maegochi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-15 with Science categories.
This book presents experimental studies of nonequilibrium phase transitions induced by ac and dc forces in collectively interacting systems—a superconducting vortex system with random pinning. It first shows that a phase transition from reversible to irreversible flow occurs by increasing vortex density as well as amplitude of ac shear, which is indicative of the universality of the reversible-irreversible transition. Two distinct flow regimes are also found in the reversible phase. Next, the book presents new methods for dc driven experiments—transverse mode-locking and transverse current-voltage measurements—and provides convincing evidence of the second-order dynamical transition from disordered plastic to anisotropically ordered smectic flow. Lastly it reports on the first experimental demonstration of the Kibble-Zurek mechanism for the nonequilibrium phase transition. The experimental results indicate that both the reversible-irreversible transition and the dynamical ordering transition belong to the directed percolation universality class which is one of the fundamental classes of nonequilibrium phase transitions. Hence, the findings will be generalized to other nonequilibrium systems and stimulate research on nonequilibrium physics.
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 6
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2020-06-22
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 6 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 2020-06-22 with Science categories.
This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) 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 topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.
Random Fields For Spatial Data Modeling
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Author : Dionissios T. Hristopulos
language : en
Publisher: Springer Nature
Release Date : 2020-02-17
Random Fields For Spatial Data Modeling written by Dionissios T. Hristopulos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-17 with Science categories.
This book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.
Order Disorder And Criticality
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2015-03-26
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 2015-03-26 with Science categories.
This book is the fourth in the series of review papers on advanced problems of phase transitions and critical phenomena, the first three volumes appeared in 2004, 2007, and 2012. It presents reviews in those aspects of criticality and related subjects that have currently attracted much attention due to new and essential contributions. The contents are divided into five chapters, and they include: anomalous diffusion, kinetics of pattern formation, scaling, renormalization group approaches in soft matter and socio-physics, Monte Carlo simulation of critical Casimir forces. As with the first three volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in these fields with university students and those who are interested in the subject. Contents:Scaling and Finite-Size Scaling above the Upper Critical Dimension (R Kenna and B Berche)Monte Carlo Simulation of Critical Casimir Forces (O A Vasilyev)Non-ergodicity and Ageing in Anomalous Diffusion (R Metzler)Kinetics of Pattern Formation: Mesoscopic and Atomistic Modelling (H Zapolsky)A Renormalization Group Like Model for a Democratic Dictatorship (S Galam) Readership: Researchers, advanced undergraduates and graduate students in physics; non-expert scientists interested in phase transitions and critical phenomena. Keywords:Phase Transitions;Criticality;Scaling;Complex Systems
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.
Nonequilibrium Phenomena In Plasmas
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Author : A. Surjalal Sharma
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-24
Nonequilibrium Phenomena In Plasmas written by A. Surjalal Sharma 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 2006-05-24 with Science categories.
This book presents studies of complexity in the context of nonequilibrium phenomena using theory, modeling, simulations, and experiments, both in the laboratory and in nature.