A Scalar Model of MHD Turbulence

  • A. Pouquet
  • C. Gloaguen
  • J. Leorat
  • R. Grappin
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 24)


A possible way to restrict the number of excited degrees of freedom in a turbulent flow is to constrain nonlinear interactions to be local in wave-number space. Such models were constructed by Denianskii-Novikov [1] and Bell-Nelkin [2] for Navier-Stokes. An extension of their work to the MHD case yields new results. Some of the properties of untruncated MHD flows which are recovered (dynamo effect above a critical magnetic Reynolds number, and growth of the relative velocity-magnetic field correlations) are reported elsewhere [3, 4, 5].


Magnetic Diffusivity Magnetic Prandtl Number Pointwise Dimension Dynamo Effect Lyapounov Exponent 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • A. Pouquet
    • 1
    • 2
  • C. Gloaguen
    • 3
  • J. Leorat
    • 3
  • R. Grappin
    • 3
  1. 1.National Center for Atmospheric ResearchBoulderUSA
  2. 2.Observatoire de NiceNice CedexFrance
  3. 3.Observatoire de MeudonLAMMeudonFrance

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