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Dynamo and Dynamics, a Mathematical Challenge

  • Book
  • © 2001

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Editors:
  1. P. Chossat

    1. I.N.L.N.(CNRS,UMR 6618), Valbonne, France

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  2. D. Ambruster

    1. Department of Mathematics, Arizona State University, Tempe, USA

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  3. I. Oprea

    1. University of Bucarest, Romania

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Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 26)

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Table of contents (45 chapters)

  1. Front Matter

    Pages I-XIX
    Download chapter PDF

  2. Laboratory dynamos, theory and experiments

    1. A Nonstationary Dynamo Experiment in a Braked Torus

      • P. Frick, S. Denisov, S. Khripchenko, V. Noskov, D. Sokoloff, R. Stepanov
      Pages 1-8

    2. Riga Dynamo Experiment

      • A. Gailitis, O. Lielausis, E. Platacis, G. Gerbeth, F. Stefani
      Pages 9-16

    3. Generation of Magnetic Field in the Couette-Taylor System

      • P. Laure, P. Chossat, F. Daviaud
      Pages 17-24

    4. Dynamo Action, Between Numerical Experiments and Liquid Sodium Devices

      • Jacques Léorat, P. Lallemand, J.L. Guermond, F. Plunian
      Pages 25-33

    5. MHD in von Kármán Swirling Flows

      • L. Marié, J. Burguete, A. Chiffaudel, F. Daviaud, D. Ericher, C. Gasquet et al.
      Pages 35-50

    6. Dynamo Action in a Forced Taylor-Green Vortex

      • C. Nore, M.E. Brachet, H. Politano, A. Pouquet
      Pages 51-58

    7. On the Possibility of an Homogeneous MHD Dynamo in the Laboratory

      • R. O’Connell, Roch Kendrick, Mark Nornberg, Erik Spence, Adam Bayliss, C. B. Forest
      Pages 59-66

    8. Saturation of a Ponomarenko Type Fluid Dynamo

      • A. Nunez, F. Petrelis, S. Fauve
      Pages 67-74

    9. Dynamo Action Due to Ekman Layer Instability

      • Yannick Ponty, Andrew Gilbert, Andrew Soward
      Pages 75-82

    10. Hunting For Dynamos: Eight Different Liquid Sodium Flows

      • Woodrow L. Shew, Daniel R. Sisan, Daniel P. Lathrop
      Pages 83-92

    11. Thermal Flow in a Rotating Spherical Gap With a Dielectrophoretic Central Force Field

      • B. Sitte, W. Brasch, M. Junk, V. Travnikov, C. Egbers
      Pages 93-100

    12. Preliminary Measurement of the Turbulent Magnetic Diffusivity in Three Dimensions

      • Jean-Claude Thelen, Fausto Cattaneo
      Pages 101-108

    13. Saturation Mechanism in a Model of the Karlsruhe Dynamo

      • A. Tilgner, F.H. Busse
      Pages 109-116

  3. Planetary and stellar dynamos, hydrodynamical models and simulations

    1. Sheared Helical Turbulence and the Helicity Constraint in Large-Scale Dynamos

      • Alberto Bigazzi, Axel Brandenburg, Kandaswamy Subramanian
      Pages 117-124

    2. The Inverse Cascade in Turbulent Dynamos

      • Axel Brandenburg
      Pages 125-132

    3. Rotating Magnetoconvection in Dependence on Stratification, Diffusive Processes and Boundary Conditions

      • J. Brestenský, S. Ševčík, J. Šimkanin
      Pages 133-144

    4. Small- and Large-Scale Dynamo Action in Simple Forced Flows

      • N.H. Brummell, F. Cattaneo, S.M. Tobias
      Pages 145-152

    5. Convection Driven Dynamos in Rotating Spherical Fluid Shells

      • F.H. Busse, E. Grote
      Pages 153-162

    6. Dynamos in Rotating and Nonrotating Convection in the Form of Asymmetric Squares

      • A. Demircan, N. Seehafer
      Pages 163-171
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Keywords

About this book

This book contains the lectures given at the workshop "Dynamo and dynamics, a mathematical challenge" held in Cargese from August 21 to 26, 2000. The workshop differed from most previous conferences on the dynamo effect in two important respects. First, it was at this international conference that the experimental observation of homogeneous fluid dynamos was first reported. Second, the conference gathered scientists from very different fields, thus showing that thepynamo problem has become an interdisciplinary subject involving not only astrophysicists and geophysicists, but also scientists working in dynamical systems theory, hydrodynamics, and numerical simulation, as well as several groups in experimental physics. This book thus reports important results on various dynamo studies in these different contexts: - Decades after the discovery of the first analytic examples of laminar fluid dynamos, the self-generation of a magnetic field by a flow ofliquid sodium has been reported by the Karlsruhe and Riga groups. Although there were no doubts concerning the self generation by the laminar Roberts-type or Ponomarenko-type flows that were used, these experiments have raised interesting questions about the influence of the turbulent fluctuations on the dynamo threshold and on the saturation level of the magnetic field.

Editors and Affiliations

  • I.N.L.N.(CNRS,UMR 6618), Valbonne, France

    P. Chossat

  • Department of Mathematics, Arizona State University, Tempe, USA

    D. Ambruster

  • University of Bucarest, Romania

    I. Oprea

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