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Non Perturbative Renormalization Group Approach To Some Out Of Equilibrium Systems
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Book Synopsis Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems by : Malo Tarpin
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.
Book Synopsis Renormalization Group and Effective Field Theory Approaches to Many-Body Systems by : Achim Schwenk
Download or read book Renormalization Group and Effective Field Theory Approaches to Many-Body Systems written by Achim Schwenk and published by Springer. This book was released on 2012-06-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novel approaches to study complex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recent applications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students and junior researchers, they offer an opportunity to explore fundamental physics across subfield boundaries at an early stage in their careers.
Book Synopsis Introduction to the Functional Renormalization Group by : Peter Kopietz
Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer. This book was released on 2010-04-22 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories. The theory of the RG consists of a set of concepts and methods which can be used to understand phenomena in many different ?elds of physics, ranging from quantum ?eld theory over classical statistical mechanics to nonequilibrium phenomena. RG methods are particularly useful to understand phenomena where ?uctuations involving many different length or time scales lead to the emergence of new collective behavior in complex many-body systems. In view of the diversity of ?elds where RG methods have been successfully applied, it is not surprising that a variety of apparently different implementations of the RG idea have been proposed. Unfortunately, this makes it somewhat dif?cult for beginners to learn this technique. For example, the ?eld-theoretical formulation of the RG idea looks at the ?rst sight rather different from the RG approach pioneered by Wilson, the latter being based on the concept of the effective action which is ite- tively calculated by successive elimination of the high-energy degrees of freedom. Moreover, the Wilsonian RG idea has been implemented in many different ways, depending on the particular problem at hand, and there seems to be no canonical way of setting up the RG procedure for a given problem.
Book Synopsis Critical Dynamics by : Uwe C. Täuber
Download or read book Critical Dynamics written by Uwe C. Täuber and published by Cambridge University Press. This book was released on 2014-03-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and unified introduction to describing and understanding complex interacting systems.
Book Synopsis Non-perturbative Renormalization by : Vieri Mastropietro
Download or read book Non-perturbative Renormalization written by Vieri Mastropietro and published by World Scientific. This book was released on 2008 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of renormalization is at the core of several spectacular achievements of contemporary physics, and in the last years powerful techniques have been developed allowing to put renormalization on a firm mathematical basis. This book provides a self-consistent and accessible introduction to the sophisticated tools used in the modern theory of non-perturbative renormalization, allowing an unified and rigorous treatment of Quantum Field Theory, Statistical Physics and Condensed Matter models. In particular the first part of this book is devoted to Constructive Quantum Field Theory, providing a mathematical construction of models at low dimensions and discussing the removal of the ultraviolet and infrared cut-off, the verification of the axioms and the validity of Ward Identities with the relative anomalies. The second part is devoted to lattice 2D Statistical Physics, analyzing in particular the theory of universality in perturbed Ising models and the computation of the non-universal critical indices in Vertex or Ashkin-Teller models. Finally the third part is devoted to the analysis of complex quantum fluids showing Luttinger of Fermi liquid behavior, like the 1D or 2D Hubbard model.
Book Synopsis Non-perturbative Qcd, Proceedings Of The Sixth Workshop by : Herbert Martin Fried
Download or read book Non-perturbative Qcd, Proceedings Of The Sixth Workshop written by Herbert Martin Fried and published by World Scientific. This book was released on 2002-04-29 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to different facets of QCD, stressing non-perturbative, analytic and lattice formulations, scattering solutions and approximations, and the understanding of recent RHIC experiments. It discusses ideas of the fifth dimension, originating in brane theory, as well as possible experimental tests and predictions of those ideas.
Book Synopsis Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems by : Taiki Haga
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 165 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.
Book Synopsis Nonequilibrium Statistical Physics by : Roberto Livi
Download or read book Nonequilibrium Statistical Physics written by Roberto Livi and published by Cambridge University Press. This book was released on 2017-10-05 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.
Book Synopsis Quantum Matter at Ultralow Temperatures by : M. Inguscio
Download or read book Quantum Matter at Ultralow Temperatures written by M. Inguscio and published by IOS Press. This book was released on 2016-09-27 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Enrico Fermi summer school on Quantum Matter at Ultralow Temperatures held on 7-15 July 2014 at Varenna, Italy, featured important frontiers in the field of ultracold atoms. For the last 25 years, this field has undergone dramatic developments, which were chronicled by several Varenna summer schools, in 1991 on Laser Manipulation of Atoms, in 1998 on Bose-Einstein Condensation in Atomic Gases, and in 2006 on Ultra-cold Fermi Gases. The theme of the 2014 school demonstrates that the field has now branched out into many different directions, where the tools and precision of atomic physics are used to realise new quantum systems, or in other words, to quantum-engineer interesting Hamiltonians. The topics of the school identify major new directions: Quantum gases with long range interactions, either due to strong magnetic dipole forces, due to Rydberg excitations, or, for polar molecules, due to electric dipole interactions; quantum gases in lower dimensions; quantum gases with disorder; atoms in optical lattices, now with single-site optical resolution; systems with non-trivial topological properties, e.g. with spin-orbit coupling or in artificial gauge fields; quantum impurity problems (Bose and Fermi polarons); quantum magnetism. Fermi gases with strong interactions, spinor Bose-Einstein condensates and coupled multi-component Bose gases or Bose-Fermi mixtures continue to be active areas. The current status of several of these areas is systematically summarized in this volume.
Book Synopsis 11th Chaotic Modeling and Simulation International Conference by : Christos H. Skiadas
Download or read book 11th Chaotic Modeling and Simulation International Conference written by Christos H. Skiadas and published by Springer. This book was released on 2019-05-28 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the proceedings of the 11th CHAOS2018 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Book Synopsis Proceedings of the Conference on Advances in Dynamical Systems and Quantum Physics by : Sergio Albeverio
Download or read book Proceedings of the Conference on Advances in Dynamical Systems and Quantum Physics written by Sergio Albeverio and published by World Scientific. This book was released on 1994 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 by : Yurij Holovatch
Download or read book Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 written by Yurij Holovatch and published by World Scientific. This book was released on 2020-06-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years by : Patrick Charbonneau
Download or read book Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years written by Patrick Charbonneau and published by World Scientific. This book was released on 2023-07-26 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew the attention of theoretical physicists. It soon became clear that understanding these systems, now called spin glasses, would give rise to a new branch of statistical physics. As physical materials, spin glasses were found to be as useless as they were exotic. They have nevertheless been recognized as paradigmatic examples of complex systems with applications to problems as diverse as neural networks, amorphous solids, biological molecules, social and economic interactions, information theory and constraint satisfaction problems.This book presents an encyclopaedic overview of the broad range of these applications. More than 30 contributions are compiled, written by many of the leading researchers who have contributed to these developments over the last few decades. Some timely and cutting-edge applications are also discussed. This collection serves well as an introduction and summary of disordered and glassy systems for advanced undergraduates, graduate students and practitioners interested in the topic.
Book Synopsis Universal Themes of Bose-Einstein Condensation by : Nick P. Proukakis
Download or read book Universal Themes of Bose-Einstein Condensation written by Nick P. Proukakis and published by Cambridge University Press. This book was released on 2017-04-27 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering general theoretical concepts and the research to date, this book demonstrates that Bose-Einstein condensation is a truly universal phenomenon.
Book Synopsis Molecular Electronics by : Ioan Baldea
Download or read book Molecular Electronics written by Ioan Baldea and published by CRC Press. This book was released on 2016-01-05 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular electronics, an emerging research field at the border of physics, chemistry, and material sciences, has attracted great interest in the last decade. To achieve the ultimate goal of designing molecular electronic devices with the desired functionality and experimental manipulation at the single-molecule level, theoretical understanding of
Book Synopsis Parallel Algorithms and Cluster Computing by : Karl Heinz Hoffmann
Download or read book Parallel Algorithms and Cluster Computing written by Karl Heinz Hoffmann and published by Springer Science & Business Media. This book was released on 2007-06-24 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents advances in high performance computing as well as advances accomplished using high performance computing. It contains a collection of papers presenting results achieved in the collaboration of scientists from computer science, mathematics, physics, and mechanical engineering. From science problems to mathematical algorithms and on to the effective implementation of these algorithms on massively parallel and cluster computers, the book presents state-of-the-art methods and technology, and exemplary results in these fields.
Book Synopsis Stochastic Transport in Complex Systems by : Andreas Schadschneider
Download or read book Stochastic Transport in Complex Systems written by Andreas Schadschneider and published by Elsevier. This book was released on 2010-10-01 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of the book provides a pedagogical introduction to the physics of complex systems driven far from equilibrium. In this part we discuss the basic concepts and theoretical techniques which are commonly used to study classical stochastic transport in systems of interacting driven particles. The analytical techniques include mean-field theories, matrix product ansatz, renormalization group, etc. and the numerical methods are mostly based on computer simulations. In the second part of the book these concepts and techniques are applied not only to vehicular traffic but also to transport and traffic-like phenomena in living systems ranging from collective movements of social insects (for example, ants) on trails to intracellular molecular motor transport. These demonstrate the conceptual unity of the fundamental principles underlying the apparent diversity of the systems and the utility of the theoretical toolbox of non-equilibrium statistical mechanics in interdisciplinary research far beyond the traditional disciplinary boundaries of physics. - Leading industry experts provide a broad overview of the interdisciplinary nature of physics - Presents unified descriptions of intracellular, ant, and vehicular traffic from a physics point of view - Applies theoretical methods in practical everyday situations - Reference and guide for physicists, engineers and graduate students
