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Instabilities In Field Theory
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Book Synopsis Instabilities in Field Theory by : Adrià Delhom
Download or read book Instabilities in Field Theory written by Adrià Delhom and published by Springer Nature. This book was released on 2023-09-16 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most common types of instabilities arising in classical field theories, namely tachyonic, Laplacian, ghost-like or strong coupling instabilities, also commenting on their quantum implications. The authors provide a detailed account on the Ostrogradski theorem and its implications for higher-order time-derivative field theories. After presenting the general concepts and formalism, they dive into its applications to particular field theories, using mainly modified gravity theories as examples. The book is intended for advanced undergraduate/graduate students, but can also be useful for researchers, for having a unified exposition of general results on instabilities in field theory and examples of their applications.
Book Synopsis Condensed Matter Field Theory by : Alexander Altland
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Book Synopsis Instabilities and Nonequilibrium Structures IX by : Orazio Descalzi
Download or read book Instabilities and Nonequilibrium Structures IX written by Orazio Descalzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of lectures and seminars given at the Ninth International Workshop on Instabilities and Nonequilibrium Structures which took place in Via del Mar, Chile, in December 2001. This book consists of two parts, the first one has three lectures written by Professors H.R. Brand, M. Moreau and L.S. Tuckerman. H.R. Brand gives an overview about reorientation and undulation instabilities in liquid crystals, M. Moreau presents recent results on biased tracer diffusion in lattice gases, finally, L.S. Tuckerman summarizes some numerical methods used in bifurcation problems. The second part consists of a collection of selected seminars which cover different topics in nonlinear physics, from an experimental, numerical and theoretical point of view. This book should appeal to mathematicians, physicists and engineers interested in dynamical systems, statistical mechanics, and nonequilibrium systems.
Book Synopsis Physics of Intensity Dependent Beam Instabilities by : King-Yuen Ng
Download or read book Physics of Intensity Dependent Beam Instabilities written by King-Yuen Ng and published by World Scientific. This book was released on 2006 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of intensity dependent particle beam instabilities in accelerating rings. Written for researchers, the material is also suitable for use as a textbook in an advanced graduate course for students studying accelerator physics. The presentation starts with a brief review of the basic concept of wake potentials and coupling impedances in the vacuum chamber followed by a discussion on static and dynamic solutions of their effects on the particle beams. Special emphasis is placed separately on proton and electron machines. Other special topics of interest covered include Landau damping, BalakinOCoNovokhatskyOCoSmirnov damping, Sacherer''s integral equations, Landau cavity, saw-tooth instability, Robinson stability criteria, beam loading, transition crossing, two-stream instabilities, and collective instability issues of isochronous rings. After the formulation of an instability, readers are provided a thorough description of one or more experimental observations together with a discussion of the cures for the instability. Although the book is theory oriented, the use of mathematics has been minimized. The presentation is intended to be rigorous and self-contained with nearly all the formulas and equations derived."
Book Synopsis Theory of Space Plasma Microinstabilities by : S. Peter Gary
Download or read book Theory of Space Plasma Microinstabilities written by S. Peter Gary and published by Cambridge University Press. This book was released on 1993-09-16 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the linear theory of waves and instabilities that propagate in a collisionless plasma.
Book Synopsis Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories by : Duncan William Pettengill
Download or read book Renormalization, Reparameterization, and Stability in Thermal Effective Field Theories written by Duncan William Pettengill and published by . This book was released on 2018 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: We examine the thermodynamic behavior of a field theory resulting from a system of intersecting D3 branes, treating one brane as a probe in the Anti de Sitter - Schwarzschild geometry generated by the other branes. We examine the equation of state that is supposed to characterize the boundary field theory, and see that it exhibits features of both a local instability, at odds with the fluctuation-disspation theorem, and an unbounded free energy that gives a global instability. An effort to understand these apparent instabilities will lead to the study of a toy model that captures the important features of the brane system, and see that the apparent instabilities of the system are best described as UV divergences, that give rise to renormalization ambiguities. The degree of ambiguity introduced by renormalization will call into question the physicality of the equation of state, but as we will see, we will come to the conclusion that the infinite ambiguity is a reflection of ambiguity in the choice of order parameter, and not necessarily in the system itself. In addition, ultimately we will be able to make precise quantitative predictions about the critical thermodynamic behavior of the system, as a metastable state becomes unstable. The degree to which the conclusions we arrive at are applicable to other systems studied in AdS/CFT will also be discussed.
Book Synopsis Instabilities and Fronts in Extended Systems by : Pierre Collet
Download or read book Instabilities and Fronts in Extended Systems written by Pierre Collet and published by . This book was released on 2014-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed. To the uninitiated reader, the theoretical methods that lead to the various results often seem somewhat ad hoc, and it is not clear how to generalize them to the nextthat is, not yet solvedproblem. In an introduction to the subject of instabilities in spatially infinite systems, Pierre Collet and Jean-Pierre Eckmann aim to give a systematic account of these methods, and to work out the relevant features that make them operational. The book examines in detail a number of model equations from physics. The mathematical developments of the subject are based on bifurcation theory and on the theory of invariant manifolds. These are combined to give a coherent description of several problems in which instabilities occur, notably the Eckhaus instability and the formation of fronts in the Swift-Hohenberg equation. These phenomena can appear only in infinite systems, and this book breaks new ground as a systematic account of the mathematics connected with infinite space domains. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Instabilities and Fronts in Extended Systems by : Pierre Collet
Download or read book Instabilities and Fronts in Extended Systems written by Pierre Collet and published by Princeton University Press. This book was released on 2014-07-14 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations, fronts, and the dynamical stability of these objects are discussed. To the uninitiated reader, the theoretical methods that lead to the various results often seem somewhat ad hoc, and it is not clear how to generalize them to the nextthat is, not yet solvedproblem. In an introduction to the subject of instabilities in spatially infinite systems, Pierre Collet and Jean-Pierre Eckmann aim to give a systematic account of these methods, and to work out the relevant features that make them operational. The book examines in detail a number of model equations from physics. The mathematical developments of the subject are based on bifurcation theory and on the theory of invariant manifolds. These are combined to give a coherent description of several problems in which instabilities occur, notably the Eckhaus instability and the formation of fronts in the Swift-Hohenberg equation. These phenomena can appear only in infinite systems, and this book breaks new ground as a systematic account of the mathematics connected with infinite space domains. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Stability of Elementary Particles and Validity Limits of Field Theory by : F. Rohrlich
Download or read book Stability of Elementary Particles and Validity Limits of Field Theory written by F. Rohrlich and published by . This book was released on 1956 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Instabilities Modeling in Geomechanics by : Ioannis Stefanou
Download or read book Instabilities Modeling in Geomechanics written by Ioannis Stefanou and published by John Wiley & Sons. This book was released on 2021-03-12 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities Modeling in Geomechanics describes complex mechanisms which are frequently met in earthquake nucleation, geothermal energy production, nuclear waste disposal and CO2 sequestration. These mechanisms involve systems of non-linear differential equations that express the evolution of the geosystem (e.g. strain localization, temperature runaway, pore pressure build-up, etc.) at different length and time scales. In order to study the evolution of a system and possible instabilities, it is essential to know the mathematical properties of the governing equations. Therefore, questions of the existence, uniqueness and stability of solutions naturally arise. This book particularly explores bifurcation theory and stability analysis, which are robust and rigorous mathematical tools that allow us to study the behavior of complex geosystems, without even explicitly solving the governing equations. The contents are organized into 10 chapters which illustrate the application of these methods in various fields of geomechanics.
Book Synopsis Valence Instabilities and Related Narrow-Band Phenomena by : R. Parks
Download or read book Valence Instabilities and Related Narrow-Band Phenomena written by R. Parks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Those well-intending workers, especially theorists, who have viewed hungrily the mixed valence problem, but have not yet made the bold leap, might be comforted to learn that the Rochester conference left the virginal state of that problem essentially intact. That is not to say that the event was prosaic. Indeed, the conferees exhibited a level of effervescence appropriate to the freshness and challenge of the problem at hand. If the meeting failed to solve major questions, it at least established several guidelines. One is that future experimental efforts, at least on a short time scale, might be spent most profitably on those substances which exhibit consistent, and hence probably intrinsic, behavior from laboratory to laboratory. A recurring message, not always subtle, to the·theorists was that piecemeal approaches to the mixed valence problem, characteristic of much of the work to date, are of limited usefulness. For at the core of the problem one has a melange of boot-strapping interac tions which must be sorted out and dealt with properly. Para phrasing Phil Anderson (see Epilogue), the mixed valence problem is in the same category of problems which are failing to be done in field theory these days.
Book Synopsis Handbook on Plasma Instabilities by : Ferdinand F. Cap
Download or read book Handbook on Plasma Instabilities written by Ferdinand F. Cap and published by Academic Press. This book was released on 2013-09-11 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook on Plasma Instabilities, Volume 2 consists of four chapters on plasma instabilities. Chapter 14 discusses the various aspects of microinstabilities. Beam-plasma systems are covered in Chapter 15, while the various stabilization methods are presented in Chapter 16. This book concludes with deliberations on parametric effects in Chapter 17. Other topics discussed include the microinstabilities of a homogeneous unmagnetized plasma; kinetic theory of macroscopic instabilities; basic beam physics; and beam-plasma instabilities. The magnetic field configuration stabilization; macroscopic nonmagnetic stabilization methods; parametric instabilities in homogeneous unmagnetized plasmas; and parametric effects in bounded and inhomogeneous plasmas are also elaborated in this text. This publication is beneficial to students and researchers conducting work on unstable plasma.
Book Synopsis Routes to Absolute Instability in Porous Media by : Antonio Barletta
Download or read book Routes to Absolute Instability in Porous Media written by Antonio Barletta and published by Springer. This book was released on 2019-01-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.
Book Synopsis Introduction to Effective Field Theory by : C. P. Burgess
Download or read book Introduction to Effective Field Theory written by C. P. Burgess and published by Cambridge University Press. This book was released on 2020-12-10 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Book Synopsis Theory of Plasma Instabilities by : A. B. Mikhailovskii
Download or read book Theory of Plasma Instabilities written by A. B. Mikhailovskii and published by Springer. This book was released on 1974 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Naoto Nagaosa
Download or read book Quantum Field Theory in Condensed Matter Physics written by Naoto Nagaosa and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an approachable introduction to the important topics and recent developments in the field of condensed matter physics. First, the general language of quantum field theory is developed in a way appropriate for dealing with systems having a large number of degrees of freedom. This paves the way for a description of the basic processes in such systems. Applications include various aspects of superfluidity and superconductivity, as well as a detailed description of the fractional quantum Hall liquid.
Book Synopsis Longwave Instabilities and Patterns in Fluids by : Sergey Shklyaev
Download or read book Longwave Instabilities and Patterns in Fluids written by Sergey Shklyaev and published by Springer. This book was released on 2017-12-08 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
