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Mean-field magnetohydrodynamics and dynamo theory

Author: F Krause; K H Rädler
Publisher: Oxford ; New York : Pergamon Press, ©1980.
Edition/Format:   eBook : Document : English : 1st edView all editions and formats
Summary:
Mean-Field Magnetohydrodynamics and Dynamo Theory provides a systematic introduction to mean-field magnetohydrodynamics and the dynamo theory, along with the results achieved. Topics covered include turbulence and large-scale structures; general properties of the turbulent electromotive force; homogeneity, isotropy, and mirror symmetry of turbulent fields; and turbulent electromotive force in the case of  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Krause, F.
Mean-field magnetohydrodynamics and dynamo theory.
Oxford ; New York : Pergamon Press, ©1980
(DLC) 79042947
(OCoLC)5800191
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: F Krause; K H Rädler
ISBN: 9781483158068 1483158063
OCLC Number: 646854924
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (271 pages) : illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Front Cover; Mean-Field Magnetohydrodynamics and Dynamo Theory; Copyright Page; PREFACE; Table of Contents; CHAPTER 1. INTRODUCTION; 1.1. Turbulence and large-scale structures; 1.2. On the general concept of mean-field magnetohydrodynamics; 1.3. Technical remarks; CHAPTER 2. BASIC IDEAS OF MEAN-FIELD ELECTRODYNAMICS; 2.1. Basic equations; 2.2. Averaging operations; 2.3. The equations for the mean fields; 2.4. General properties of the turbulent electromotive force; CHAPTER 3. ELEMENTARY TREATMENT OF A SIMPLE EXAMPLE; 3.1. Assumptions. 4.2. The hierarchy of equations for the correlation tensors4.3. Second order correlation approximation; 4.4. Higher order correlation approximation; 4.5. Green's function tensor of the induction equation; 4.6. Application of the Green's function tensor to the equations of mean-field electrodynamics; 4.7. On the convergence of the correlation approximation; CHAPTER 5. TWO-SCALE TURBULENCE; 5.1. Introductory remarks; 5.2. Isotropic tensors; 5.3. Structures of the tensors; 5.4. Examples for the turbulent electromotive force; 5.5. Representation of the tensors; CHAPTER 6. HOMOGENEOUS TURBULENCE. 6.1. Introductory remarks6.2. Fourier transformation of homogeneous steady random fields; 6.3. A basic relation connecting the means of the Fourier transforms with the Fourier transform of the correlation tensor; 6.4. Bochner's theorem; 6.5. Isotropic turbulence; 6.6. Two special cases: Incompressible turbulence and random sound waves; 6.7. Fourier transform of the Green's function tensor. Evaluation of integrals in the limiting cases; CHAPTER 7. MEAN-FIELD ELECTRODYNAMICSFOR HOMOGENEOUS TURBULENCE IN THE CASE OF VANISHING MEAN FLOW; 7.1. Determination of the tensor; 7.2. The pumping effect. 7.3. Dynamo action of homogeneous turbulence7.4. Determination of the tensor bijk: The turbulent magnetic diffusivity; 7.5. Turbulence undergoing the influence of Coriolis forces; 7.6. Two-dimensional turbulence; 7.7. Higher order correlation approximation:Vainshtein's recurrence formula; 7.8. The dispersion relation; 7.9. The mean square of the fluctuating magnetic field; CHAPTER 8. THE TURBULENT ELECTROMOTIVE FORCE IN THE CASE OF NON-VANISHING MEAN FLOW; 8.1. Introductory remarks; 8.2. The Green's tensor for velocity fields with constant rates of strain.
Responsibility: by F. Krause and K-H Rädler.

Abstract:

Mean-Field Magnetohydrodynamics and Dynamo Theory provides a systematic introduction to mean-field magnetohydrodynamics and the dynamo theory, along with the results achieved. Topics covered include turbulence and large-scale structures; general properties of the turbulent electromotive force; homogeneity, isotropy, and mirror symmetry of turbulent fields; and turbulent electromotive force in the case of non-vanishing mean flow. The turbulent electromotive force in the case of rotational mean motion is also considered. This book is comprised of 17 chapters and opens with an overview of the gen.

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