Field Theoretic Renormalization Group In Fully Developed Turbulence
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Field Theoretic Renormalization Group In Fully Developed Turbulence
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Author : L.Ts Adzhemyan
language : en
Publisher: CRC Press
Release Date : 1999-03-08
Field Theoretic Renormalization Group In Fully Developed Turbulence written by L.Ts Adzhemyan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-08 with Science categories.
The renormalization group (RG) theory of fully developed hydrodynamical turbulence is a new and developing field of research. This book gives a detailed and comprehensive review of the results obtained using this theory over the past 20 years. The authors have systematically adopted the highly successful field theoretic RG technique, which has a reliable base in the form of quantum- field renormalization theory, involves powerful and convenient methods of calculation such as analytic regularization and minimal subtractions, and allows one to obtain results which are difficult to achieve using other methods. In the first chapter the basic theory and technique are presented, while the next chapter deals with more advanced aspects of the theory, including the critical dimensions of various composite operators, infrared asymptotic behavior of scaling functions, the equation of spectral energy balance, and calculating the amplitudes in scaling laws. The third chapter presents a series of examples, such as turbulent convection of passive scalar admixture, the influence of anisotropy and gyrotropy, magnetohydrodynamical turbulence, and Langmuir turbulence of plasma. In contrast to more established disciplines, such as the theory of critical phenomena, in the RG theory of turbulence there is as yet no unique and generally accepted calculation technique. For this reason the authors also present the necessary information on the renormalization theory of the RG technique, making the subject accessible to a wide range of readers. The book will therefore be a useful source of reference for students and researchers in turbulence, statistical mechanics, and related fields, including those with no prior experience of using quantum-field techniques.
The Field Theoretic Renormalization Group In Critical Behavior Theory And Stochastic Dynamics
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Author : A.N. Vasil'ev
language : en
Publisher: CRC Press
Release Date : 2004-04-28
The Field Theoretic Renormalization Group In Critical Behavior Theory And Stochastic Dynamics written by A.N. Vasil'ev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-28 with Science categories.
This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and ...hard... calculations are presen
50 Years Of The Renormalization Group Dedicated To The Memory Of Michael E Fisher
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Author : Amnon Aharony
language : en
Publisher: World Scientific
Release Date : 2024-07-26
50 Years Of The Renormalization Group Dedicated To The Memory Of Michael E Fisher written by Amnon Aharony and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-26 with Science categories.
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.
Lecture Notes On Turbulence And Coherent Structures In Fluids Plasmas And Nonlinear Media
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Author : Horst Punzmann
language : en
Publisher: World Scientific
Release Date : 2006-11-29
Lecture Notes On Turbulence And Coherent Structures In Fluids Plasmas And Nonlinear Media written by Horst Punzmann and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-29 with Science categories.
This book is based on the lectures delivered at the 19th Canberra International Physics Summer School held at the Australian National University in Canberra (Australia) in January 2006.The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc. Modern studies in turbulence and coherent structures are based on a variety of theoretical concepts, numerical simulation techniques and experimental methods, which cannot be reviewed effectively by a single expert.The main goal of these lecture notes is to introduce state-of-the-art turbulence research in a variety of approaches (theoretical, numerical simulations and experiments) and applications (fluids, plasmas, geophysics, nonlinear optical media) by several experts. A smooth introduction is presented to readers who are not familiar with the field, while reviewing the most recent advances in the area. This collection of lectures will provide a useful review for both postgraduate students and researchers new to the advancements in this field, as well as specialists seeking to expand their knowledge across different areas of turbulence research.
Homogeneous Isotropic Turbulence
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Author : W. David McComb
language : en
Publisher: OUP Oxford
Release Date : 2014-02-27
Homogeneous Isotropic Turbulence written by W. David McComb and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-27 with Mathematics categories.
Fluid turbulence is often referred to as `the unsolved problem of classical physics'. Yet, paradoxically, its mathematical description resembles quantum field theory. The present book addresses the idealised problem posed by homogeneous, isotropic turbulence, in order to concentrate on the fundamental aspects of the general problem. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines. The book is in three parts, and begins with a very simple overview of the basic statistical closure problem, along with a summary of current theoretical approaches. This is followed by a precise formulation of the statistical problem, along with a complete set of mathematical tools (as needed in the rest of the book), and a summary of the generally accepted phenomenology of the subject. Part 2 deals with current issues in phenomenology, including the role of Galilean invariance, the physics of energy transfer, and the fundamental problems inherent in numerical simulation. Part 3 deals with renormalization methods, with an emphasis on the taxonomy of the subject, rather than on lengthy mathematical derivations. The book concludes with some discussion of current lines of research and is supplemented by three appendices containing detailed mathematical treatments of the effect of isotropy on correlations, the properties of Gaussian distributions, and the evaluation of coefficients in statistical theories.
Renormalization Group Rg In Turbulence
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Author : Ye Zhou
language : en
Publisher:
Release Date : 1997
Renormalization Group Rg In Turbulence written by Ye Zhou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Renormalization Methods
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Author : William David McComb
language : en
Publisher: OUP Oxford
Release Date : 2003-12-12
Renormalization Methods written by William David McComb and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-12 with Science categories.
This book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation (and motivation), including mean-field theories and high-temperature and low-density expansions. It then proceeds by easy steps to the famous epsilon-expansion, ending up with the first-order corrections to critical exponents beyond mean-field theory. Nowadays there is widespread interest in applications of renormalization methods to various topics ranging over soft condensed matter, engineering dynamics, traffic queueing and fluctuations in the stock market. Hence macroscopic systems are also included, with particular emphasis on the archetypal problem of fluid turbulence. The book is also unique in making this material accessible to readers other than theoretical physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
11th Chaotic Modeling And Simulation International Conference
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Author : Christos H. Skiadas
language : en
Publisher: Springer
Release Date : 2019-05-28
11th Chaotic Modeling And Simulation International Conference written by Christos H. Skiadas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-28 with Science categories.
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.
Invariant Manifolds For Physical And Chemical Kinetics
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Author : Alexander N. Gorban
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-01
Invariant Manifolds For Physical And Chemical Kinetics written by Alexander N. Gorban 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 2005-02-01 with Science categories.
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.
Renormalization Group Rg In Turbulence Historical And Comparative Perspective
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Author : Ye Zhou
language : en
Publisher:
Release Date : 1997
Renormalization Group Rg In Turbulence Historical And Comparative Perspective written by Ye Zhou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
The terms renormalization and renormalization group are explained by reference to various physical systems. The extension of renormalization group to turbulence is then discussed; first as a comprehensive review and second concentrating on the technical details of a few selected approaches. We conclude with a discussion of the relevance and application of renormalization at group to turbulence modelling.