Dynamo theory is the study of how large scale magnetic fields can arise in bodies such as the Earth, Sun, and stars. This text brings together researchers in such diverse subjects as geophysics, astronomy, and nuclear reactor technology and covers topics such as modeling 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 "fast 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 and will interest students and professors of astrophysics, applied mathematics, and planetary science.
Author(s): M. R. E. Proctor, P. C. Matthews, A. M. Rucklidge
Series: Publications of the Newton Institute
Publisher: CUP
Year: 1993
Language: English
Pages: 379
Tags: Физика;Физика плазмы;
Cover......Page 1
Title Page......Page 4
Copyright......Page 5
Contents......Page 6
Preface......Page 10
List of Participants......Page 12
Magnetic Noise and the Galactic Dynamo......Page 14
On the Oscillation in Model Z......Page 22
Nonlinear Dynamos in a Spherical Shell......Page 32
The Onset of Dynamo Action in Alpha-lambda Dynamos......Page 40
Multifractality, Near-singularities and the Role of Stretching in Turbulence......Page 48
Note on Perfect Fast Dynamo Action in a Large-amplitude SFS Map......Page 56
A Thermally Driven Disc Dynamo......Page 64
Magnetic Instabilities in Rapidly Rotating Systems......Page 72
Modes of a Flux Ring Lying in the Equator of a Star......Page 82
A Nonaxisymmetric Dynamo in Toroidal Geometry......Page 92
Simulating the Interaction of Convection with Magnetic Fields in the Sun......Page 96
Experimental Aspects of a Laboratory Scale Liquid Sodium Dynamo Model......Page 104
Influence of the Period of an ABC Flow on its Dynamo Action......Page 112
Numerical Calculations of Dynamos for ABC and Related Flows......Page 118
Local Helicity, a Material Invariant for the Odd-dimensional Incompressible Euler Equations......Page 128
On the Quasimagnetostrophic Asymptotic Approximation Related to Solar Activity......Page 134
Simple Dynamical Fast Dynamos......Page 142
A Numerical Study of Dynamos in Spherical Shells with Conducting Boundaries......Page 150
Non-axisymmetric Shear Layers in a Rotating Spherical Shell......Page 158
Testing for Dynamo Action......Page 166
Alpha-quenching in Cylindrical Magnetoconvection......Page 174
On the Stretching of Line Elements in Fluids: an Approach from Differential Geometry......Page 184
Instabilities of Tidally and Precession ally Induced Flows......Page 194
Probability Distribution of Passive Scalars with Nonlinear Mean Gradient......Page 202
Magnetic Fluctuations in Fast Dynamos......Page 208
A Statistical Description of MILD Turbulence in Laboratory Plasmas......Page 216
Compressible Magnetoconvection in Three Dimensions......Page 224
The Excitation of Nonaxisymmetric Magnetic Fields in Galaxies......Page 232
Localized Magnetic Fields in a Perfectly Conducting Fluid......Page 238
Turbulent Dynamo and the Geomagnetic Secular Variation......Page 242
On-Off Intermittency: General Description and Feedback Model......Page 246
Dynamo Action in a Nearly Integrable Chaotic Flow......Page 254
The Dynamo Mechanism in the Deep Convection Zone of the Sun......Page 262
Shearing Instabilities in Magnetoconvection......Page 270
On the Role of Rotation of the Internal Core Relative to the Mantle......Page 278
Evolution of Magnetic Fields in a Swirling Jet......Page 284
Analytic Fast Dynamo Solution for a Two-dimensional Pulsed Flow......Page 288
On Magnetic Dynamos in Thin Accretion Disks Around Compact and Young Stars......Page 300
The Strong Field Branch of the Childress-Soward Dynamo......Page 308
Evidence for the Suppression of the Alpha-effect by Weak Magnetic Fields......Page 316
Turbulent Magnetic Transport Effects and their Relation to Magnetic Field Intermittency......Page 324
Proving the Existence of Negative Isotropic Eddy Viscosity......Page 334
Dynamo Action Induced by Lateral Variation of Electrical Conductivity......Page 342
Spherical Inertial Oscillation and Convection......Page 352
Hydrodynamic Stability of the ABC Flow......Page 360
Dynamos with Ambipolar Diffusion......Page 368
Subject Index......Page 376
