Solar and Planetary Dynamos

doi:10.1017/CBO9780511662874

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 galaxies, and papers on 'fast dynamos', study of magnetic field regeneration in fluid of very high electrical conductivity. This volume represents a comprehensive record of research into the theory of dynamos.

"...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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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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Preface
pp ix-x
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List of Participants
pp xi-xii
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Magnetic Noise and the Galactic Dynamo
pp 1-8
- By S.W. Anderson, R.M. Kulsrud, Princeton Plasma Physics Lab, Princeton, NJ 08543 USA
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On the Oscillation in Model Z
pp 9-18
- By A.P. Anufriev, Geophysical Institute, Bulgarian Academy of Science, Acad. Bonchev str., bl. 3, 1113 Sofia, Bulgaria, I. Cupal, P. Hejda, Geophysical Institute, Czechoslovak Academy of Science, Boční II, 141 31 Prague 4, Czech Republic
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Nonlinear Dynamos in a Spherical Shell
pp 19-26
- By C.F. Barenghi, Dept. of Mathematics and Statistics, University of Newcastle upon Tyne, Newcastle upon Tyne, NE1 7RU UK
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The Onset of Dynamo Action in Alpha-lambda Dynamos
pp 27-34
- By D.M. Barker, Dept. of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL UK
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Multifractality, Near-singularities and the Role of Stretching in Turbulence
pp 35-42
- By A. Brandenburg, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, 20 Clarkson Rd., Cambridge, CB3 OEH UK, A. Brandenburg, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, 20 Clarkson Rd., Cambridge, CB3 OEH UK, I. Procaccia, D. Segel, Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel, A. Vincent, M. Manzini, CERFACS, 42 Avenue Coriolis, F-31057 Toulouse, France
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Note on Perfect Fast Dynamo Action in a Large-amplitude SFS Map
pp 43-50
- By S. Childress, Department of Mathematics, New York University, Courant Institute of Mathematical Sciences, New York, NY 10012 USA
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A Thermally Driven Disc Dynamo
pp 51-58
- By A.Y.K. Chui, H.K. Moffatt, Department of Applied Mathematics and Theoretical Physics University of Cambridge, Silver St., Cambridge, CB3 9EW UK
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Magnetic Instabilities in Rapidly Rotating Systems
pp 59-68
- By D.R. Fearn, Department of Mathematics, University of Glasgow, Glasgow, G12 8QW UK
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Modes of a Flux Ring Lying in the Equator of a Star
pp 69-78
- By A. Ferriz-Mas, M. Schussler, Kiepenheuer-Institut fur Sonnenphysik, Schoneckstr. 6, D-7800 Freiburg, Germany
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A Nonaxisymmetric Dynamo in Toroidal Geometry
pp 79-82
- By M. Foth, Universitäts-Sternwarte Göttingen, Geismarlandstraβe 11, D-3400 Göttingen, Germany
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Simulating the Interaction of Convection with Magnetic Fields in the Sun
pp 83-90
- By P.A. Fox, High Altitude Observatory, National Center for Atmospheric Research Boulder, CO 80307-3000 USA, M.L. Theobald, Center for Solar and Space Research, Yale University New Haven, CT 06511-6666 USA, S. Sofia, Center for Solar and Space Research, Yale University New Haven, CT 06511-6666 USA
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Experimental Aspects of a Laboratory Scale Liquid Sodium Dynamo Model
pp 91-98
- By A. Gailitis, Institute of Physics, Latvian Academy of Sciences, LV-2169 Salaspils 1, Riga, Latvia
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Influence of the Period of an ABC Flow on its Dynamo Action
pp 99-104
- By B. Galanti, Institute of Computational Fluid Dynamics, 1–22–3 Haramachi, Meguro-ku, Tokyo 152, Japan, A. Pouquet, P.L. Sulem
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Numerical Calculations of Dynamos for ABC and Related Flows
pp 105-114
- By D.J. Galloway, School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006 Australia, N.R. O'Brian, School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006 Australia
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Local Helicity, a Material Invariant for the Odd-dimensional Incompressible Euler Equations
pp 115-120
- By S. Gama, CNRS, Observatoire de Nice, BP 229, 06304 Nice Cedex 4, France, FEUP, Universidade de Porto, R. Bragas, 4099 Porto Codex, Portugal, U. Frisch, CNRS, Observatoire de Nice, BP 229, 06304 Nice Cedex 4, France, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, 20 Clarkson Rd., Cambridge, CB3 OEH UK
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On the Quasimagnetostrophic Asymptotic Approximation Related to Solar Activity
pp 121-128
- By M. Ghizaru, Astronomical Institute of Romanian Academy, str. Cutitul de Argint 5, 75212, Bucharest, Romania
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Simple Dynamical Fast Dynamos
pp 129-136
- By A.D. Gilbert, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver St., Cambridge, CB3 9EW UK, N.F. Otani, School of Electrical Engineering, Cornell University, Ithaca, NY 14853 USA, S. Childress, Courant Institute of Mathematical Sciences, New York University, New York, NY 10012 USA
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A Numerical Study of Dynamos in Spherical Shells with Conducting Boundaries
pp 137-144
- By W. Hirsching, Institute of Physics, University of Bayreuth, D-8580 Bayreuth, Germany, F.H. Busse, Institute of Physics, University of Bayreuth, D-8580 Bayreuth, Germany
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Non-axisymmetric Shear Layers in a Rotating Spherical Shell
pp 145-152
- By R. Hollerbach, Department of Mathematics, University of Exeter, Exeter, EX4 4QE UK, M.R.E. Proctor, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver St., Cambridge, CB3 9EW UK
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Testing for Dynamo Action
pp 153-160
- By D.W. Hughes, Department of Applied Mathematical Studies, The University, Leeds, LS2 9JT UK
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Alpha-quenching in Cylindrical Magnetoconvection
pp 161-170
- By C.A. Jones, Department of Mathematics, University of Exeter, Exeter, EX4 4QE UK, D.J. Galloway, School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006 Australia
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On the Stretching of Line Elements in Fluids: an Approach from Differential Geometry
pp 171-180
- By T. Kambe, Y. Hattori, Dept. of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113, Japan, V. Zeitlin, Observatoire de Nice, BP 229, 06304 Nice Cedex 4, France
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Instabilities of Tidally and Precessionally Induced Flows
pp 181-188
- By R.R. Kerswell, Dept. of Mathematics and Statistics, University of Newcastle upon Tyne, Newcastle upon Tyne, NE1 7RU UK
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Probability Distribution of Passive Scalars with Nonlinear Mean Gradient
pp 189-194
- By Y. Kimura, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, 20 Clarkson Rd., Cambridge, CB3 OEH UK
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Magnetic Fluctuations in Fast Dynamos
pp 195-202
- By R. Kulsrud, Princeton Plasma Physics Lab Princeton, NJ 08543 USA, S. Anderson, Princeton Plasma Physics Lab Princeton, NJ 08543 USA
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A Statistical Description of MHD Turbulence in Laboratory Plasmas
pp 203-210
- By A. Lazarian, Department of Applied Mathematics and Theoretical Physics University of Cambridge, Silver St., Cambridge, CB3 9EW UK
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