N.V. Antonov's Books

Field Theoretic Renormalization Group in Fully Developed Turbulence

By: L.Ts Adzhemyan,N.V. Antonov,A.N. Vasiliev

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Field Theoretic Renormalization Group in Fully Developed Turbulence

By: L.Ts Adzhemyan,N.V. Antonov,A.N. Vasiliev

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.

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Page Count

212

Publisher

CRC Press

Published Date

ISBN 10

9056991450

ISBN 13

9789056991456

Computational Methods in Solid State Physics

By: V V Nemoshkalenko,N.V. Antonov

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Computational Methods in Solid State Physics

By: V V Nemoshkalenko,N.V. Antonov

The combination of theoretical physics methods, numerical mathematics and computers has given rise to a new field of physics known as "computational physics." The purpose of this monograph is to present the various methods of computational physics, in particular the methods of band theory. The first chapter of the book provides an introduction to the field and presents the theoretical foundations of band theory. In the second and third chapters the authors describe both traditional and more modern methods of band theory and include practical recommendations for their use. Methods which are discussed include APW (augmented plane wave), Green's function method, LMTO (linear method of MT- orbitals), LKKR (linear Korringer, Kohn and Rostocker method), LAPW (linear augmented plane wave), ASW (augmented spherical waves), and LASO (linear method of augmented Slater orbitals). Great attention is paid to the practical aspects of these theories and the book is structured in such a way as to enable the reader to use any method in practice without reference to other sources.

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Page Count

272

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CRC Press

Published Date

ISBN 10

9056990942

ISBN 13

9789056990947

Field Theoretic Renormalization Group in Fully Developed Turbulence

By: L.Ts Adzhemyan,N.V. Antonov,A.N. Vasiliev

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Field Theoretic Renormalization Group in Fully Developed Turbulence

By: L.Ts Adzhemyan,N.V. Antonov,A.N. Vasiliev

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

212

Publisher

CRC Press

Published Date

ISBN 10

9056991450

ISBN 13

9789056991456

Book's by N.V. Antonov

Field Theoretic Renormalization Group in Fully Developed Turbulence

Field Theoretic Renormalization Group in Fully Developed Turbulence

Computational Methods in Solid State Physics

Computational Methods in Solid State Physics

Field Theoretic Renormalization Group in Fully Developed Turbulence

Field Theoretic Renormalization Group in Fully Developed Turbulence

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