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2.1 Observational Overview. |
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2.1.2 Other Time-Variability. |
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2.2 Basic Equations and Parameters. |
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2.2.1 Anelastic and Boussinesq Equations. |
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2.2.2 Nondimensionalization. |
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2.3.1 Rotationor Magnetism Alone. |
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2.3.2 Rotation and Magnetism Together. |
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2.3.3 Weakversus Strong Fields. |
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2.3.4 Oscillatory Convection Modes. |
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2.4.1 Taylor’s Original Analysis. |
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2.4.2 Relaxation of Ro=E=0. |
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2.4.3 Taylor States versus Ekman States. |
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2.4.4 From Ekman States to Taylor States. |
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2.4.5 Torsional Oscillations. |
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2.4.7 Taylor’s Constraint in the Anelastic Approximation. |
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2.6.1 Stewartson Layers on C. |
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2.6.2 Nonaxisymmetric Shear Layers on C. |
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2.6.3 Finite Conductivity of the Inner Core. |
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2.6.4 Rotation of the Inner Core. |
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2.7 Numerical Simulations. |
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2.8 Magnetic Instabilities. |
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2.9.1 Mercury, Venus and Mars. |
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2.9.3 Jupiter and Saturn. |
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2.9.4 Uranus and Neptune. |
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3 Differential Rotation Theory. |
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3.1.1 Torsional Oscillations. |
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3.1.3 Ward’s Correlation. |
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3.1.4 Stellar Observations. |
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3.2 Angular Momentum Transport in Convection Zones. |
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3.2.1 The Taylor Number Puzzle. |
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3.2.3 The Eddy Viscosity Tensor. |
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3.2.4 Mean-Field Thermodynamics. |
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3.3 Differential Rotation and Meridional Circulation for Solar-Type Stars. |
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3.4 Kinetic Helicity and the DIV-CURL-Correlation. |
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3.5 Overshoot Region and the Tachocline. |
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3.5.2 Penetration into the Stable Layer. |
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3.5.3 A Magnetic Theory of the Solar Tachocline. |
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4.1 The Solar-Stellar Connection. |
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4.1.1 The Phase Relation. |
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4.1.2 The Nonlinear Cycle. |
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4.1.4 Dynamo-related Stellar Observations. |
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4.1.5 The Flip-Flop Phenomenon. |
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4.2.1 The Magnetic-Field Advection. |
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4.2.2 The Highly Anisotropic α-Effect. |
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4.2.3 The Magnetic Quenching of the α-Effect. |
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4.2.4 Weak-Compressible Turbulence. |
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4.3 Magnetic-Diffusivity Tensor and η-Quenching. |
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4.3.1 The Eddy Diffusivity Tensor. |
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4.4 Mean-Field Stellar Dynamo Models. |
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4.4.2 The αΩ-Dynamo for Slow Rotation. |
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4.4.3 Meridional Flow Influence. |
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4.5.1 The Overshoot Dynamo. |
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4.5.2 The Advection-Dominated Dynamo. |
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4.6 Dynamos with Random α. |
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4.6.2 Dynamo Models with Fluctuating α-Effect. |
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4.7 Nonlinear Dynamo Models. |
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4.7.1 Malkus-Proctor Mechanism. |
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4.7.3 Magnetic Saturation by Turbulent Pumping. |
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4.8 Λ-Quenching and Maunder Minimum. |
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5 The Magnetorotational Instability (MRI). |
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5.1.2 The Angular Momentum Problem. |
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5.1.3 Turbulence and Planet Formation. |
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5.2 Stability of Differential Rotation in Hydrodynamics. |
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5.2.1 Combined Stability Conditions. |
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5.2.2 Sufficient Condition for Stability. |
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5.2.3 Numerical Simulations. |
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5.3 Stability of Differential Rotation in Hydromagnetics. |
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5.3.2 Baroclinic Instability. |
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5.4 Stability of Differential Rotation with Strong Hall Effect. |
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5.4.1 Criteria of Instability of Protostellar Disks. |
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5.5.1 A Spherical Model with Shear. |
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5.5.2 A Global Disk Model. |
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5.6 MRI of Differential Stellar Rotation. |
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5.6.1 T Tauri Stars (TTS). |
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5.6.2 The Ap-Star Magnetism. |
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5.6.3 Decay of Differential Rotation. |
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5.7 Circulation-Driven Stellar Dynamos. |
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5.7.1 The Gailitis Dynamo. |
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5.7.2 Meridional Circulation plus Shear. |
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5.8.1 The Shearing Box Model. |
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5.8.2 A Global Disk Dynamo? |
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5.9 Accretion-Disk Dynamo and Jet-Launching Theory. |
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5.9.1 Accretion-Disk Dynamo Models. |
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5.9.3 Accretion-Disk Outflows. |
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5.9.4 Disk-Dynamo Interaction. |
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6.1 Magnetic Fields of Galaxies. |
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6.1.4 Two Exceptions: Magnetic Torus and Vertical Halo Fields. |
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6.2 Nonlinear Winding and the Seed Field Problem. |
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6.2.1 Uniform Initial Field. |
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6.2.2 Seed Field Amplitude and Geometry. |
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6.3 Interstellar Turbulence. |
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6.3.1 The Advection Problem. |
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6.3.2 Hydrostatic Equilibrium and Interstellar Turbulence. |
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6.4 From Spheres to Disks. |
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6.4.2 Oscillatory vs. Steady Solutions. |
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6.6 The Nonlinear Galactic Dynamo with Uniform Density. |
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6.6.2 The Influences of Geometry and Turbulence Field. |
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6.7 Density Wave Theory and Swing Excitation. |
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6.7.1 Density Wav Theory. |
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6.7.2 The Short-Wave Approximation. |
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6.7.3 Swing Excitation in Magnetic Spirals. |
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6.7.4 Nonlocal Density Wave Theory in Kepler Disks. |
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6.8 Mean-Field Dynamos with Strong Halo Turbulence. |
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6.8.1 Nonlinear 2D Dynamo Model with Magnetic Supported Vertical Stratification. |
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6.8.2 Nonlinear 3D Dynamo Models for Spiral Galaxies. |
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6.9 New Simulations: Macroscale and Microscale. |
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6.9.1 Particle-Hydrodynamics for the Macroscale. |
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6.9.2 MHD for the Microscale. |
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7 Neutron Star Magnetism. |
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7.3 Without Stratification. |
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7.5 Magnetic-Dominated Heat Transport. |
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8 The Magnetic Taylor–Couette Flow. |
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8.3 Results without Hall Effect. |
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8.3.1 Subcritical Excitation for Large Pm. |
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8.3.2 The Rayleigh Line (a = 0) and Beyond. |
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8.3.3 Excitation of Nonaxisymmetric or Oscillatory Modes. |
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8.3.4 Wave Number and Drift Frequencies. |
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8.4 Results with Hall Effect. |
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8.4.1 Hall Effect with Positive Shear. |
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8.4.2 Hall Effect with Negative Shear. |
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8.4.3 A Hall-Driven Disk-Dynamo? |
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8.7 Taylor–Couette Flow as Kinematic Dynamo. |
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