Solar and Planetary Dynamos

Solar and Planetary Dynamos

by Michael Proctor
     
 

Dynamo theory is the study of how large scale magnetic fields can arise in bodies such as the Earth, Sun and stars, and it brings together researchers in such diverse subjects as geophysics astronomy and nuclear reactor technology. In this book are papers on the theory of dynamos, delivered at the Isaac Newton Institute for Mathematical Sciences in Cambridge in … See more details below

Overview

Dynamo theory is the study of how large scale magnetic fields can arise in bodies such as the Earth, Sun and stars, and it brings together researchers in such diverse subjects as geophysics astronomy and nuclear reactor technology. In this book are papers on the theory of dynamos, delivered at the Isaac Newton Institute for Mathematical Sciences in Cambridge in September 1992, and these have been carefully brought together to form a unified presentation. Topics covered include: modelling of solar magnetic field generation, theoretical studies of the dynamics of the Earth�s core, studies of the magnetic fields in galaxies, and papers on 0fast dynamos�, the study of magnetic field regeneration in fluid of very high electrical conductivity. This volume represents the most comprehensive and up-to-date record of research into the theory of dynamos.

Product Details

ISBN-13:
9780521054157
Publisher:
Cambridge University Press
Publication date:
01/21/2008
Series:
Publications of the Newton Institute Series
Pages:
380
Product dimensions:
5.98(w) x 8.98(h) x 0.83(d)

Table of Contents

Preface
List of Participants
Magnetic Noise and the Galactic Dynamo1
On the Oscillation in Model Z9
Nonlinear Dynamos in a Spherical Shell19
The Onset of Dynamo Action in Alpha-lambda Dynamos27
Multifractality, Near-singularities and the Role of Stretching in Turbulence35
Note on Perfect Fast Dynamo Action in a Large-amplitude SFS Map43
A Thermally Driven Disc Dynamo51
Magnetic Instabilities in Rapidly Rotating Systems59
Modes of a Flux Ring Lying in the Equator of a Star69
A Nonaxisymmetric Dynamo in Toroidal Geometry79
Simulating the Interaction of Convection with Magnetic Fields in the Sun83
Experimental Aspects of a Laboratory Scale Liquid Sodium Dynamo Model91
Influence of the Period of an ABC Flow on its Dynamo Action99
Numerical Calculations of Dynamos for ABC and Related Flows105
Local Helicity, a Material Invariant for the Odd-dimensional Incompressible Euler Equations115
On the Quasimagnetostrophic Asymptotic Approximation Related to Solar Activity121
Simple Dynamical Fast Dynamos129
A Numerical Study of Dynamos in Spherical Shells with Conducting Boundaries137
Non-axisymmetric Shear Layers in a Rotating Spherical Shell145
Testing for Dynamo Action153
Alpha-quenching in Cylindrical Magnetoconvection161
On the Stretching of Line Elements in Fluids: an Approach from Differential Geometry171
Instabilities of Tidally and Precessionally Induced Flows181
Probability Distribution of Passive Scalars with Nonlinear Mean Gradient189
Magnetic Fluctuations in Fast Dynamos195
A Statistical Description of MHD Turbulence in Laboratory Plasmas203
Compressible Magnetoconvection in Three Dimensions211
The Excitation of Nonaxisymmetric Magnetic Fields in Galaxies219
Localized Magnetic Fields in a Perfectly Conducting Fluid225
Turbulent Dynamo and the Geomagnetic Secular Variation229
On-Off Intermittency: General Description and Feedback Model233
Dynamo Action in a Nearly Integrable Chaotic Flow241
The Dynamo Mechanism in the Deep Convection Zone of the Sun249
Shearing Instabilities in Magnetoconvection257
On the Role of Rotation of the Internal Core Relative to the Mantle265
Evolution of Magnetic Fields in a Swirling Jet271
Analytic Fast Dynamo Solution for a Two-dimensional Pulsed Flow275
On Magnetic Dynamos in Thin Accretion Disks Around Compact and Young Stars287
The Strong Field Branch of the Childress-Soward Dynamo295
Evidence for the Suppression of the Alpha-effect by Weak Magnetic Fields303
Turbulent Magnetic Transport Effects and their Relation to Magnetic Field Intermittency311
Proving the Existence of Negative Isotropic Eddy Viscosity321
Dynamo Action Induced by Lateral Variation of Electrical Conductivity329
Spherical Inertial Oscillation and Convection339
Hydrodynamic Stability of the ABC Flow347
Dynamos with Ambipolar Diffusion355
Subject Index363

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