Field Theoretic Renormalization Group in Fully Developed Turbulence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Field Theoretic Renormalization Group in Fully Developed Turbulence write by L.Ts Adzhemyan. This book was released on 1999-03-08. Field Theoretic Renormalization Group in Fully Developed Turbulence available in PDF, EPUB and Kindle. 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.
50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher
50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher write by Amnon Aharony. This book was released on 2024-07-26. 50 Years Of The Renormalization Group: Dedicated To The Memory Of Michael E Fisher available in PDF, EPUB and Kindle. 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.
The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics write by A.N. Vasil'ev. This book was released on 2004-04-28. The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics available in PDF, EPUB and Kindle. 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
The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics
The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics write by A.N. Vasil'ev. This book was released on 2004-04-28. The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics available in PDF, EPUB and Kindle. 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
Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems
Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems write by Malo Tarpin. This book was released on 2020-03-19. Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems available in PDF, EPUB and Kindle. 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.
