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Author : Ivan T. Georgiev
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (559 download)
Download or read book Renormalization-group Studies of Three Model Systems Far from Equilibrium written by Ivan T. Georgiev and published by . This book was released on 2003 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lin Yuan Chen
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (321 download)
Download or read book Renormalization Group Theory for Systems Far from Equilibrium written by Lin Yuan Chen and published by . This book was released on 1994 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is largely concerned with the long-time or large-scale asymptotic behavior of a variety of non-equilibrium (physical) systems in the absence of noise, to which the renormalization group theory (RG) and the structural stability hypothesis are systematically applied. The first type of problems I study are examples of systems possessing physical scale invariance, for which I focus on similarity solutions, where the exponents are anomalous, and traveling-wave problems, where there is an apparent non-uniqueness of solutions of front propagation. For anomalous nonlinear diffusion and propagation of fronts in porous media, I show that the presence of anomalous dimensions far from equilibrium can be explained systematically. The exponents and related scaling laws are calculated analytically by perturbative renormalization group (RG) theory. I study the propagation of superfluid turbulence, and find that preliminary experimental data are in qualitative agreement with the theoretical RG predictions: in particular, a sharp propagating front is observed. For the velocity selection in pattern formation systems, it is proposed that only structurally stable fronts are reproducibly observable in practice. Combining the structural stability hypothesis with RG techniques enables one to predict the uniquely selected velocity. The results apply to both the linear-marginal-stability and nonlinear-marginal-stability cases under very general conditions. A variational principle is also implemented to identify the transition between different regimes. I also present a numerical implementation of the RG for the problems mentioned above, constructing similarity solutions and traveling waves. I show that the numerical RG method is computationally more efficient than direct numerical integration of equations, and yields more accurate results than previous analytical perturbative RG calculations, especially when (perturbation) parameters are not small. The second type of problems I investigate are singular perturbation problems, classical or quantum, without apparent physical scale invariance. Conventionally, numerous (ad hoc) singular perturbation methods are made use of to solve them. A systematic renormalization group (RG) theory is developed as a unified framework for global singular perturbation methods. This is the first time that the direct correspondence between singular perturbation and RG is established. This study reveals several very general conclusions: (1) Singular perturbation methods are naturally understood as renormalized perturbation methods in physics, and (2) Amplitude equations are nothing but RG equations, and (3) in several aspects, the RG method is technically superior.
Author : Malo Tarpin
Publisher : Springer Nature
ISBN 13 : 3030398714
Total Pages : 217 pages
Book Rating : 4.0/5 (33 download)
Download or read book Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems written by Malo Tarpin and published by Springer Nature. This book was released on 2020-03-19 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Taiki Haga
Publisher : Springer
ISBN 13 : 9811361711
Total Pages : 156 pages
Book Rating : 4.8/5 (113 download)
Download or read book Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems written by Taiki Haga and published by Springer. This book was released on 2019-01-24 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 924 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2007 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David P. Landau
Publisher : Springer Science & Business Media
ISBN 13 : 3642592937
Total Pages : 257 pages
Book Rating : 4.6/5 (425 download)
Download or read book Computer Simulation Studies in Condensed-Matter Physics XVI written by David P. Landau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This status report features the most recent developments in the field, spanning a wide range of topical areas in the computer simulation of condensed matter/materials physics. Highlights of this volume include various aspects of non-equilibrium statistical mechanics, studies of properties of real materials using both classical model simulations and electronic structure calculations, and the use of computer simulation in teaching.
Author : David P. Landau
Publisher : Springer Science & Business Media
ISBN 13 : 3540265651
Total Pages : 287 pages
Book Rating : 4.5/5 (42 download)
Download or read book Computer Simulation Studies in Condensed-Matter Physics XVII written by David P. Landau and published by Springer Science & Business Media. This book was released on 2006-09-05 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over ?fteen years ago, because of the tremendous increase in the power and utility of computer simulations, The University of Georgia formed the ?rst institutional unit devoted to the use of simulations in research and teaching: The Center for Simulational Physics. As the international simulations c- munityexpandedfurther,wesensedaneedforameetingplaceforbothex- riencedsimulatorsandneophytestodiscussnewtechniquesandrecentresults in an environment which promoted lively discussion. As a consequence, the Center for Simulational Physics established an annual workshop on Recent DevelopmentsinComputerSimulationStudiesinCondensedMatterPhysics. This year’s workshop was the seventeenth in this series, and the continued interest shown by the scienti?c community demonstrates quite clearly the useful purpose that these meetings have served. The latest workshop was held at The University of Georgia, February 16–20, 2004, and these proce- ings provide a “status report” on a number of important topics. This volume is published with the goal of timely dissemination of the material to a wider audience. We wish to o?er a special thanks to IBM and to SGI for partial support of this year’s workshop. This volume contains both invited papers and contributed presentations on problems in both classical and quantum condensed matter physics. We hope that each reader will bene?t from specialized results as well as pro?t from exposure to new algorithms, methods of analysis, and conceptual dev- opments.
Author :
Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. Family
Publisher : Elsevier
ISBN 13 : 0444596585
Total Pages : 295 pages
Book Rating : 4.4/5 (445 download)
Download or read book Kinetics of Aggregation and Gelation written by F. Family and published by Elsevier. This book was released on 2012-12-02 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetics of Aggregation and Gelation presents the proceedings of the International Topical Conference on Kinetics of Aggregation and Gelation held on April 2-4, 1984 in Athens, Georgia. The purpose of the conference was to bring together international experts from a wide variety of backgrounds who are studying phenomena inherently similar to the formation of large clusters by the union of many separate, small elements, to present and exchange ideas on new theories and results of experimental and computer simulations. This book is divided into 57 chapters, each of which represents an oral presentation that is part of a unified whole. The book begins with a presentation on fractal concepts in aggregation and gelation, followed by presentations on topics such as aggregative fractals called ""squigs""; multi-particle fractal aggregation; theory of fractal growth processes; self-similar structures; and interface dynamics. Other chapters cover addition polymerization and related models; the kinetic gelation model; a new model of linear polymers; red cell aggregation kinetics; the Potts Model; aggregation of colloidal silica; the ballistic model of aggregation; stochastic dynamics simulation of particle aggregation; particle-cluster aggregation; kinetic clustering of clusters; computer simulations of domain growth; and perspectives in the kinetics of aggregation and gelation. This book will be of interest to practitioners in the fields of chemistry, theoretical physics, and materials engineering.
Author : Luis Garrido
Publisher : Springer
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)
Download or read book Systems Far from Equilibrium written by Luis Garrido and published by Springer. This book was released on 1980 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nigel Goldenfeld
Publisher : CRC Press
ISBN 13 : 0429973128
Total Pages : 313 pages
Book Rating : 4.4/5 (299 download)
Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.
Author : David P. Landau
Publisher : Springer Science & Business Media
ISBN 13 : 3642555225
Total Pages : 225 pages
Book Rating : 4.6/5 (425 download)
Download or read book Computer Simulation Studies in Condensed-Matter Physics XV written by David P. Landau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over fifteen years ago, because of the tremendous increase in the power and utility of computer simulations, The University of Georgia formed the first institutional unit devoted to the use of simulations in research and teach ing: The Center for Simulational Physics. As the international simulations community expanded further, we sensed a need for a meeting place for both experienced simulators and neophytes to discuss new techniques and recent results in an environment which promoted lively discussion. As a consequence, the Center for Simulational Physics established an annual workshop on Re cent Developments in Computer Simulation Studies in Condensed Matter Physics. This year's workshop was the fifteenth in this series, and the con tinued interest shown by the scientific community demonstrates quite clearly the useful purpose that these meetings have served. The latest workshop was held at The University of Georgia, March 11-15, 2002, and these proceedings provide a "status report" on a number of important topics. This volume is published with the goal of timely dissemination of the material to a wider audience. We wish to offer a special thanks to IBM Corporation and to the National Science Foundation for partial support of this year's workshop. This volume contains both invited papers and contributed presentations on problems in both classical and quantum condensed matter physics. We hope that each reader will benefit from specialized results as well as profit from exposure to new algorithms, methods of analysis, and conceptual devel opments. Athens, GA, USA D. P.
Author :
Publisher :
ISBN 13 :
Total Pages : 1538 pages
Book Rating : 4.3/5 (97 download)
Download or read book Physical Review written by and published by . This book was released on 1998-08 with total page 1538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
Author : Michael Grunze
Publisher : Springer Science & Business Media
ISBN 13 : 3642726755
Total Pages : 309 pages
Book Rating : 4.6/5 (427 download)
Download or read book Kinetics of Interface Reactions written by Michael Grunze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the first Workshop on Interface Phenomena, organized jointly by the surface science groups at Dalhousie University and the University of Maine. It was our intention to concentrate on just three topics related to the kinetics of interface reactions which, in our opinion, were frequently obscured unnecessarily in the literature and whose fundamental nature warranted an extensive discussion to help clarify the issues, very much in the spirit of the Discussions of the Faraday Society. Each session (day) saw two principal speakers expounding the different views; the session chairmen were asked to summarize the ensuing discussions. To understand the complexity of interface reactions, paradigms must be formulated to provide a framework for the interpretation of experimen tal data and for the construction of theoretical models. Phenomenological approaches have been based on a small number of rate equations for the concentrations or mole numbers of the various species involved in a par ticular system with the relevant rate constants either fitted (in the form of the Arrheniusparametrization) to experimental data or calculated on the basis of microscopic models. The former procedure can at best serve as a guide to the latter, and is, in most cases, confined to ruling out certain reaction pathways rather than to ascertaining a unique answer.
Author : Albert Newen
Publisher : Oxford University Press
ISBN 13 : 0191054356
Total Pages : 952 pages
Book Rating : 4.1/5 (91 download)
Download or read book The Oxford Handbook of 4E Cognition written by Albert Newen and published by Oxford University Press. This book was released on 2018-08-30 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4E cognition (embodied, embedded, enactive, and extended) is a relatively young and thriving field of interdisciplinary research. It assumes that cognition is shaped and structured by dynamic interactions between the brain, body, and both the physical and social environments. With essays from leading scholars and researchers, The Oxford Handbook of 4E Cognition investigates this recent paradigm. It addresses the central issues of embodied cognition by focusing on recent trends, such as Bayesian inference and predictive coding, and presenting new insights, such as the development of false belief understanding. The Oxford Handbook of 4E Cognition also introduces new theoretical paradigms for understanding emotion and conceptualizing the interactions between cognition, language, and culture. With an entire section dedicated to the application of 4E cognition in disciplines such as psychiatry and robotics, and critical notes aimed at stimulating discussion, this Oxford handbook is the definitive guide to 4E cognition. Aimed at neuroscientists, psychologists, psychiatrists, and philosophers, The Oxford Handbook of 4E Cognition will be essential reading for anyone with an interest in this young and thriving field.
Author : Amnon Aharony
Publisher : World Scientific
ISBN 13 : 9811282390
Total Pages : 912 pages
Book Rating : 4.8/5 (112 download)
Download or read book 50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher written by Amnon Aharony and published by World Scientific. This book was released on 2024-07-26 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in the book are devoted to the memory of Michael E Fisher, and hence include many personal memories from people whose work was influenced by him. Also, the book is a collection of articles from leaders in the field of phase transitions and critical phenomena, to celebrate 50 years of the renormalization group and the 1972 paper by Wilson and Fisher. Many of the articles review, in tutorial form, the progress in the fields of phase transitions and the renormalization group.
Author : Federico Benitez
Publisher :
ISBN 13 :
Total Pages : 151 pages
Book Rating : 4.:/5 (875 download)
Download or read book Non Perturbative Renormalization Group written by Federico Benitez and published by . This book was released on 2013 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the most important open problems in statistical mechanics are related with systems out of thermal equilibrium. In this work we use field theory methods to study some of these systems. To do so, we first introduce a field theory representation for the systems of interest, as well as the specific formalism to be used throughout, the so-called non perturbative renormalization group (NPRG). This formalism has emerged in the last years as a very efficient way to deal with strongly correlated systems, and has been applied with success to problems both in and out of equilibrium. Before treating the actual systems of interest, we develop some new tools and methods within the NPRG context, and test them in a simple scalar field theory, belonging to the Ising universality class. We are able to obtain results for the momentum-dependent scaling function of the d=3 Ising model, without having to fix any free parameter. Also, in order to tackle in an efficient way the physics of out of equilibrium systems, we study in detail some formal aspects of their passage to a field theory representation, as well as the equivalences between different possible ways to perform this passage. After these preliminaries, we concentrate in out of equilibrium active-to-absorbing phase transitions in reaction-diffusion systems, and in particular in the subclass known as branching and annihilating random walks (BARW). Among other results, we use the NPRG to find an exact solution to any vertex in a simple system, known as pure annihilation. With this, we analyze some properties of BARW at low branching rates, by means of an expansion in the branching rate around pure annihilation. This perturbative expansion, which is performed around a nontrivial model, allows us to find some striking exact results for some of the most important universality classes in these systems.
