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. 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.

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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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Table of Contents

Preface; 1. Magnetic noise and the galactic dynamo; 2. On the oscillation in model Z; 3. Nonlinear dynamos in a spherical shell; 4. The onset of dynamo action in alpha-lambda dynamos; 5. Multifractality, near-singularities and the role of stretching in turbulence; 6. Note on perfect fast dynamo action in a large-amplitude SFS map; 7. A thermally driven disc dynamo; 8. Magnetic instabilities in rapidly rotating systems; 9. Modes of a flux ring lying in the equator of a star; 10. A nonaxisymmetric dynamo in toroidal geometry; 11. Simulating the interaction of convection with magnetic fields in the sun; 12. Experimental aspects of a laboratory scale liquid sodium dynamo model; 13. Influence of the period of an ABC flow on its dynamo action; 14. Numerical calculations of dynamos for ABC and related flows; 15. Incompressible Euler equations; 16. On the quasimagnetostrophic asymptotic approximation related to solar activity; 17. Simple dynamical fast dynamos; 18. A numerical study of dynamos in spherical shells with conducting boundaries; 19. Non-axisymmetric shear layers in a rotating spherical shell; 20. Testing for dynamo action; 21. Alpha-quenching in cylindrical magnetoconvection; 22. On the stretching of line elements in fluids: an approach from different geometry; 23. Instabilities of tidally and precessionally induced flows; 24. Probability distribution of passive scalars with nonlinear mean gradient; 25. Magnetic fluctuations in fast dynamos; 26. A statistical description of MHD turbulence in laboratory plasma; 27. Compressible magnetoconvection in three dimensions; 28. The excitation of nonaxisymmetric magnetic fields in galaxies; 29. Localized magnetic fields in a perfectly conducting fluid; 30. Turbulent dynamo and the geomagnetic secular variation; 31. On-off intermittency: general description and feedback model; 32. Dynamo action in a nearly integrable chaotic flow; 33. The dynamo mechanism in the deep convection zone of the sun; 34. Shearing instabilities in magnetoconvection; 35. On the role of rotation of the internal core relative to the mantle; 36. Evolution of magnetic fields in a swirling jet; 37. Analytic fast dynamo solution for a two-dimensional pulsed flow; 38. On magnetic dynamos in thin accretion disks around compact and young stars; 39. The strong field branch of the Childress-Soward dynamo; 40. Evidence for the suppression of the alpha-effect by weak magnetic fields; 41. Turbulent magnetic transport effects and their relation to magnetic field intermittency; 42. Proving the existence of negative variation of electrical conductivity; 43. Spherical inertial oscillation and convection; 44. Hydrodynamics stability of the ABC flow; 45. Dynamos with ambipolar diffusion; Subject index.

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