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Mean-field magnetohydrodynamics and dynamo theory /
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; homog...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
�1980.
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| Edición: | 1st ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.