Solar and Planetary Dynamos

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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 Earthþs core, studies of the magnetic fields in galaxies, and papers on 0fast dynamosþ, 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.
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Editorial Reviews

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"...a valuable reference on the overall state of the subject, as well as on current concerns and who is actively contributing." Peter Gilman, Science
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Product Details

Table of Contents

List of Participants
Magnetic Noise and the Galactic Dynamo 1
On the Oscillation in Model Z 9
Nonlinear Dynamos in a Spherical Shell 19
The Onset of Dynamo Action in Alpha-lambda Dynamos 27
Multifractality, Near-singularities and the Role of Stretching in Turbulence 35
Note on Perfect Fast Dynamo Action in a Large-amplitude SFS Map 43
A Thermally Driven Disc Dynamo 51
Magnetic Instabilities in Rapidly Rotating Systems 59
Modes of a Flux Ring Lying in the Equator of a Star 69
A Nonaxisymmetric Dynamo in Toroidal Geometry 79
Simulating the Interaction of Convection with Magnetic Fields in the Sun 83
Experimental Aspects of a Laboratory Scale Liquid Sodium Dynamo Model 91
Influence of the Period of an ABC Flow on its Dynamo Action 99
Numerical Calculations of Dynamos for ABC and Related Flows 105
Local Helicity, a Material Invariant for the Odd-dimensional Incompressible Euler Equations 115
On the Quasimagnetostrophic Asymptotic Approximation Related to Solar Activity 121
Simple Dynamical Fast Dynamos 129
A Numerical Study of Dynamos in Spherical Shells with Conducting Boundaries 137
Non-axisymmetric Shear Layers in a Rotating Spherical Shell 145
Testing for Dynamo Action 153
Alpha-quenching in Cylindrical Magnetoconvection 161
On the Stretching of Line Elements in Fluids: an Approach from Differential Geometry 171
Instabilities of Tidally and Precessionally Induced Flows 181
Probability Distribution of Passive Scalars with Nonlinear Mean Gradient 189
Magnetic Fluctuations in Fast Dynamos 195
A Statistical Description of MHD Turbulence in Laboratory Plasmas 203
Compressible Magnetoconvection in Three Dimensions 211
The Excitation of Nonaxisymmetric Magnetic Fields in Galaxies 219
Localized Magnetic Fields in a Perfectly Conducting Fluid 225
Turbulent Dynamo and the Geomagnetic Secular Variation 229
On-Off Intermittency: General Description and Feedback Model 233
Dynamo Action in a Nearly Integrable Chaotic Flow 241
The Dynamo Mechanism in the Deep Convection Zone of the Sun 249
Shearing Instabilities in Magnetoconvection 257
On the Role of Rotation of the Internal Core Relative to the Mantle 265
Evolution of Magnetic Fields in a Swirling Jet 271
Analytic Fast Dynamo Solution for a Two-dimensional Pulsed Flow 275
On Magnetic Dynamos in Thin Accretion Disks Around Compact and Young Stars 287
The Strong Field Branch of the Childress-Soward Dynamo 295
Evidence for the Suppression of the Alpha-effect by Weak Magnetic Fields 303
Turbulent Magnetic Transport Effects and their Relation to Magnetic Field Intermittency 311
Proving the Existence of Negative Isotropic Eddy Viscosity 321
Dynamo Action Induced by Lateral Variation of Electrical Conductivity 329
Spherical Inertial Oscillation and Convection 339
Hydrodynamic Stability of the ABC Flow 347
Dynamos with Ambipolar Diffusion 355
Subject Index 363
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