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Feedback of a small-scale magnetic dynamo.

S V Nazarenko1, G E Falkovich, S Galtier

  • 1Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 17, 2001
PubMed
Summary

We developed a WKB approach for magnetohydrodynamic turbulence. This method reveals counterrotating vortices that hinder magnetic dynamo action by slowing magnetic spot stretching.

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Area of Science:

  • Plasma Physics
  • Fluid Dynamics
  • Astrophysics

Background:

  • Magnetohydrodynamic (MHD) turbulence is crucial in astrophysical phenomena.
  • Understanding the dynamo effect, which amplifies magnetic fields, is a key challenge.
  • The magnetic Prandtl number significantly influences MHD turbulence dynamics.

Purpose of the Study:

  • To investigate the growth of small-scale magnetic fluctuations in MHD turbulence.
  • To analyze the impact of a large-scale pure strain velocity field on magnetic fields.
  • To explore the feedback mechanisms on small-scale magnetic dynamo action.

Main Methods:

  • Development of a Wentzel-Kramers-Brillouin (WKB) approach.
  • Application of rapid distortion theory for high magnetic Prandtl number turbulence.
  • Analysis of magnetic Lorentz force effects on fluid flow.

Main Results:

  • A secondary flow, characterized by counterrotating vortices, is excited by the magnetic Lorentz force.
  • These vortices are located on the periphery of magnetic spots.
  • The secondary flow effectively slows down the stretching of magnetic spots.

Conclusions:

  • The excited counterrotating vortices provide a negative feedback mechanism.
  • This feedback inhibits the small-scale magnetic dynamo.
  • The WKB approach offers insights into MHD turbulence with large magnetic Prandtl numbers.

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